MATH 221COMPLETE COURSE
MATH221 COMPLETE COURSE
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MATH 221 Week 1 DQ Descriptive
Statistics
1.Determine whether the given value is a statistic or a
parameter.
A sample of students is selected
and it is found that 35% own a computer
Study plan 1.1.41
2.Determine whether the
underlined numerical value is a parameter or statistic. Explain your reasoning.
A certain zoo found that 8% of
its 843 animals were nocturnal
Study Plan: 1.1.37
3.Suppose a survey of 568 women
in the United States found that more than 56% are the primary investor in their
household. Which part of the survey represents the descriptive statistics? Make
an inference based on the results of the survey.
4.How is a sample related to a
population?
5.Determine whether the variable
is qualitative or quantitative
a.Goals scored in a hockey game
b.Favorite musical instrument
Study plan 1.2.7
6.What is an inherent Zero?
Describe an example that has an inherent zero.
Study plan 1.2.31
7.Which method of data collection
should be used to collect data for the following study.
A study of the health of 164
kidney transplant patients at a hospital.
Study plan 1.3.11
8.Use the given minimum and
maximum data entries, and the number of classes, to find the class width, the
lower class limits and the upper class limits.
Minimum = 13, maximum = 84, 6
classes
Study plan 2.1.11
9.Some graph questions to study:
Study Plan 2.1.19, 2.1.26, 2.1.27
10.Students in an experimental
psychology class did research on depression as sign of stress. A test was
administered to a sample of 30 students. The scores are shown below.
43 50 10 90 77 35 64 36 42 72
54 62 35 75 50 72 36 29 39 61
48 63 35 41 21 36 50 46 86 14
a. Find the 10% trimmed mean of
the data.
b. Find Mean
c. Find Median
D. Find Mode
E. Midrange
Please use the paste to clipboard
from the data set to work in excel or in minitab
Study plan 2.3.65
11.Find the range, mean, variance
and standard deviation of the sample data set.
7 10 17 15 5 11 16 6 13
Study plan 2.4.13
MATH 221 Week 2 DQ Regression
1.
Construct a scatter plot and determine the type of correlation using r for the
following data
The ages(in years) of 6 children
and the number of words in their vocabulary
Age, x

1

2

3

4

5

6

Vocabulary size,y

250

950

1200

1450

1800

2650

a) Display the data in a scatter
plot
b) Calculate the correlation
coefficient r
c) Make a conclusion about the
type of correlation
Study plan 9.1.22, 9.1.24
2. Suppose the scatter plot shows
the results of a survey of 42 randomly selected males ages 24 to 35. Using age
as the explanatory variable, choose the appropriate description for the graph,
Explain your reasoning.
a) Age and body temperature
b) Age and balance on student
loans
c) Age and income
d) Age and height
PLEASE SEE THE DOCUMENT ATTACHED FOR THIS GRAPH
The response variable is
____________ because you would expect this variable and age to have
_________________ and ____________variation for adult males.
Study plan 9.2.17
3. 3. Identify the explanatory
and the response variable.
A farmer wants to determine if
the temperature received by similar crops can be used to predict the harvest of
the crop.
The explanatory variable is
_________
The response variable is
____________
MATH 221 Week 2 Ilab Correlation
and Regression
1.Create a Pie Chart for the variable Car – Pull up Graph > Pie Chart and click in the categories variables
box so that the list of variables will show up on the left. Now double click on
the variable name ‘Car” in the box at the left of the window. Include a title
by clicking on the “Labels…” button and typing it in the correct text area (put
your name in as the title) and click OK.
Click OK again to create graph. Click on the graph and use Ctrl+C to copy and
come back here, click below this question and use Ctrl+V to paste it in this
Word document.
2.Create a histogram for the variable Height – Pull up Graph > Histograms and choose “Simple”. Then set the graph
variable to “height”. Include a title by clicking on the “Labels…” button and
typing it in the correct text area (put your name in as the title) and click OK. Copy and paste the graph
here.
3. Create a stem and leaf chart for the variable Money – Pull upGraph>
Stemand Leaf and
set Variables: to “Money”. Enter 10 for the Increment: and click OK.
The leaves of the stemleaf plot will be the one’s digits of the
values in the “Money” variable. Note: the first column of the stemleaf plot
that you create is the count. The row with the count in parentheses includes
the median. The counts below the median cumulate from the bottom of the plot.Copy and paste the graph here.
4.Calculate descriptive statistics for the variable Height by
Gender – Pull up Stat
> Basic Statistics > Display Descriptive Statistics and set Variables: to Height. Check By variable: and enter Gender into this text box.
Click OK. Type the mean and the standard deviation for both males and females
in the space below this question.
5.What is the most common color
of car for students who participated in this survey? Explain how you arrived at
your answer.
6.What is seen in the histogram
created for the heights of students in this class (include the shape)? Explain
your answer.
7. What is seen in the stem and
leaf plot for the money variable (include the shape)? Explain your answer.
8. Compare the mean for the
heights of males and the mean for the heights of females in these data. Compare
the values and explain what can be concluded based on the numbers.
9.Compare the standard deviation
for the heights of males and the standard deviation for the heights of females
in the class. Compare the values and explain what can be concluded based on the
numbers.
10.Using the empirical rule, 95%
of female heights should be between what two values? Either show work or
explain how your answer was calculated.
11.Using the empirical rule, 68%
of male heights should be between what two values? Either show work or explain
how your answer was calculated.
MATH 221 Week 3 DQ Statistics in
the News
PROBABILITY
DISTRIBUTIONS
Objective  CONCEPTS:
1. Determine which of the
following numbers could not represent the probability of an event
0, 0.008, 0.6, 65%, 715/1206,
60/47
Study plan: 3.1.1, 3.1.2, 3.1.7,
3.1.8
ObjectiveSample Space
2. Identify the sample space of
the probability experiment and determine the number of outcomes in the sample
space.
Determining a person’s grade
Freshman (F), Sophomore (So), Junior (J), Senior (Se) and gender (male(M)
Female (F))
Study Plan: 3.1.15, 3.1.17,
3.1.19
ObjectiveSimple Events
3. Determine the number of
outcomes in the event. Decide whether the event is a simple event or not.
You randomly select one card from
a standard deck. Event A is selecting a red four.
Study Plan: 3.1.21, 3.1.23
ObjectiveFrequency Distribution
4. Use the frequency distribution below, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is in the given age range.
Not between 25 and 34 years old
Ages of voters

Frequency

18 to 20

7.4

21 to 24

11.5

25 to 34

21.8

35 to 44

25.5

45 to 64

56.8

65 and over

28.7

Study Plan: 3.1.55, 3.1.57,
3.1.59, 3.1.61, 3.1.63
ObjectiveDistinguish between
independent and dependent events
5. Researchers found that people
with depression are four times more likely to have a breathingrelated sleep disorder
that people who are not depressed. Identify the two events described in the
study. Do the results indicate that the events are independent or dependent?
Study Plan: 3.2.7, 3.2.11,
3.2.13, 3.2.15
ObjectiveConditional Probability
6. In the general population, one
woman in eight will develop breast cancer. Research has shown that 1 woman in
600 carries a mutation of the BRCA gene. Seven out of 10 women with this
mutation develop breast cancer.
a. Find the probability that a
randomly selected woman will develop breast cancer given that she has a
mutation of the BRCA gene.
b. Find the probability that a
randomly selected woman will carry the mutation of the BRCA gene and will
develop breast cancer.
c. Are the events of carrying
this mutation and developing breast cancer independent or dependent events.
Study Plan: 3.2.17, 3.2.27
ObjectiveMultiplication Rule to
Find Probabilities
7. A study found that 38% of the
assisted reproductive technology (ART) cycles resulted in pregnancies.
Twentytwo percent of the ART pregnancies resulted in multiple births.
a. Find the probability that a
randomly selected ART cycle resulted in a pregnancy and produced a multiple
birth.
b. Find the probability that a
randomly selected ART cycle that resulted in a pregnancy did not produce a
multiple birth.
c. Would it be unusual for a
randomly selected ART cycle to result in a pregnancy and produce a multiple
birth? Explain
Study Plan: 3.2.21, 3.2.23,
3.2.26
ObjectiveMutually exclusive
8. Decide if the events are
mutually exclusive.
Event A: Randomly selecting
someone treated with a certain medication.
Event B: Randomly selecting
someone who received no medication
Study Plan: 3.3.7, 3.3.9, 3.3.11
ObjectiveAddition Rule
9. During a 52Week period, a
company paid overtime wages for 16 Weeks and hired temporary help for 8 Weeks.
During 4 Weeks, the company paid overtime and hired temporary help.
a. Are the events “Selecting a
Week that contained overtime wages” and “selecting a Week that contained
temporary help wages” mutually exclusive
b. If an auditor randomly
examined the payroll records for only one Week, what is the probability that
the payroll for that Week contained Overtime wages or temporary help wages?
Study Plan: 3.3.13, 3.3.15,
3.3.17,3.3.25
ObjectivePermutation and Combination
10. Find 37 C2
Study Plan: 3.4.8, 3.4.11,
3.4.13, 3.4.14
ObjectiveCounting Principles
11. A certain lottery has 30
numbers. In how many different ways can 5 of the numbers be selected? Assume
that order of selection is not important
Study Plan: 3.4.21, 3.4.22,
3.4.23, 3.4.25
ObjectiveCONSTRUCT PROBABILTIES
12. A frequency distribution is
shown below.
The number of dogs per household
in a small town
Dogs 0 1 2 3 4 5
Households 1128 424 167 48 27 17
a. Use the frequency distribution
to construct a probability distribution
x

P(x)

0


1


2


3


4


5

b. Find the mean of the
probability distribution
c. Find the variance of the
probability distribution
d. Find the standard deviation of
the probability distribution
Study Plan: 4.1.13, 4.1.15, 4.1.17,
4.1.19, 4.1.21, 4.1.23, 4.1.25, 4.1.27, 4.1.29, 4.1.31, 4.1.35, 4.1.37, 4.1.39
MATH 221 Week 4 DQ Discrete
Probability Variables
1. About 40% of babies born with a certain ailment recover
fully. A hospital is caring for seven babies with this ailment. The random
variable represents the number of babies that recover fully. Decide whether the
experiment is a binomial experiment? If it is, identify a success, specify the
values of n, p, and q, and list the possible values of the random variable x.
STUDY PLAN: 4.2.9, 4.2.11
OBJECTIVE: Find the MEAN, VARIANCE AND STANDARD DEVIATION OF THE binomial distribution
2. Find the mean, variance and standard deviation of the binomial
distribution n= 123, p= 0.69
STUDY PLAN: 4.2.15
OBJECTIVE: FIND BINOMIAL PROBABILITIES USING TECHNOLOGY
3. 47% of men consider themselves professional baseball fans. You
randomly select 10 men and ask each if he considers himself a professional
baseball fan. Find the probability that the number who consider themselves
baseball fans is
a. Exactly eight
b. At least eight
c. Less than eight
STUDY PLAN: 4.2.19, 4.2.21,
4.2.23, 4.2.25
OBJECTIVE: FIND PROBABILITIES FOR POISSON DISTRIBUTION USING
technology 4. Given that x has a Poisson
distribution with mean mu= 4, what is the probability that x= 6?
STUDY PLAN: 4.3.5
MATH 221 Week 4 ilab Discrete
Data Probability Distributions
Calculating Binomial
Probabilities
Ã˜Open a new MINITAB worksheet.
Ã˜We are interested in a binomial experiment with 10 trials.
First, we will make the probability of a success ¼. Use MINITAB to calculate
the probabilities for this distribution. In column C1 enter the word ‘success’
as the variable name (in the shaded cell above row 1. Now in that same column,
enter the numbers zero through ten to represent all possibilities for the
number of successes. These numbers will end up in rows 1 through 11 in that
first column. In column C2 enter the words ‘one fourth’ as the variable
name. Pull up Calc>
Probability Distributions > Binomial and select the radio button that
corresponds toProbability. Enter 10 for the Number of trials: and enter 0.25 for the Event probability:. For the Input column: select ‘success’ and for the Optional storage: select ‘one fourth’. Click the buttonOK and the probabilities will be
displayed in the Worksheet.
Ã˜Now we will change the probability of a success to ½. In column
C3 enter the words ‘one half’ as the variable name. Use similar steps to that
given above in order to calculate the probabilities for this column. The only
difference is in Event
probability: use
0.5.
Ã˜Finally, we will change the probability of a success to ¾. In
column C4 enter the words ‘three fourths’ as the variable name. Again, use similar
steps to that given above in order to calculate the probabilities for this
column. The only difference is in Event
probability: use
0.75.
Plotting the Binomial
Probabilities
1.Create plots for the three binomial distributions above.
SelectGraph>
Scatter Plot and Simple then for graph 1 set Y equal to ‘one
fourth’ and X to ‘success’ by clicking on the variable name and using the
“select” button below the list of variables. Do this two more times and for
graph 2 set Y equal to ‘one half’ and X to ‘success’, and for graph 3 set Y
equal to ‘three fourths’ and X to ‘success’. Paste those three scatter plots
below.
MATH 221 Week 5 DQ Interpreting
Normal Distributions
OBJECTIVE: CONCEPTS
1.What requirements are necessary for a normal probability distribution to be a standard normal distribution?
STUDY PLAN: 5.1.2, 5.1.3, 5.1.7
OBJECTIVE: COMPUTE AND INTERPRET ZSCORES of NORMAL DISTRIBUTIONS
OBJECTIVE: COMPUTE AND INTERPRET ZSCORES of NORMAL DISTRIBUTIONS
2.The systolic blood pressures of a sample of adults are normally distributed, with a mean pressure of 115 millimeters of mercury and a standard deviation of 3.6 millimeters of mercury. The systolic blood pressures of four adults selected at random are 122, 113, 106 and 128 millimeters of mercury. The graph of the standard normal distributions is shown below. Complete a) and b) PLEASE SEE ATTACHED DOCUMENT FOR GRAPHS
a.Without converting to z scores,
match the values with the letters A, B, C, and D on the given graph of the
standard normal distribution.
b.Find the zscore that
corresponds to each value and check your answers to part (a) (Round to two
decimals as needed)
STUDY PLAN: 5.1.41, 5.1.43
OBJECTIVE: FIND PROBABILITIES USING THE STANDARD NORMAL DISTRIBUTION
OBJECTIVE: FIND PROBABILITIES USING THE STANDARD NORMAL DISTRIBUTION
3.For the standard normal distribution shown below, find the probability of z occurring in the indicated on the graph. Please see attached document
STUDY PLAN: 5.1.45, 5.1.47,
5.1.55, 5.1.57
OBJECTIVE: FIND PROBABILITIES FOR NORMALLY DISTRIBUTED VARIABLES
4.Assume the random variable x is normally distributed with mean mu= 50 and
standard deviation sigma= 7. Find P(x > 42)
STUDY PLAN: 5.2.1, 5.2.3, 5.2.5,
5.2.7, 5.2.9, 5.2.11, 5.2.15
OBJECTIVE: APPLICATIONS OF NORMAL DISTRIBUTION
5.Use the normal distribution of SAT writing scores with mean = 493 and standard deviation = 111.
a. What percentage of SAT writing
scores are less than 600?
b. If 1000 SAT writing scores are
randomly selected, about how many would you expect to be greater than 550?
STUDY PLAN: 5.2.21, 5.2.23,
5.2.25, 5.2.27
OBJECTIVE: FIND A Z SCORE GIVEN THE AREA UNDER THE NORMAL CURVE
6.Find the z score that corresponds to the cumulative area of 0.049
6.Find the z score that corresponds to the cumulative area of 0.049
STUDY PLAN: 5.3.1, 5.3.3, 5.3.5, 5.3.7, 5.3.17, 5.3.19, 5.3.21, 5.3.23, 5.3.25, 5.3.27, 5.3.29
OBJECTIVE: APPLICATION OF NORMAL DISTRIBUTION
7.In a survey of women in a certain country (ages 20 29), the mean height was 65.3 inches with a standard deviation of 2.67 inches.
a.What height represents the 98^{th} percentile?
b.What height represents the
first quartile?
STUDY PLAN: 5.3.31, 5.3.33,
5.3.35, 5.3.38, 5.3.39, 5.3.41
OBJECTIVE: Interpret sampling distributions
8.A population has a mean mu= 86 and a standard deviation sigma =20. Find the mean and standard deviation of a sampling distribution of sample means with a sample size n= 268
STUDY PLAN: 5.4.1, 5.4.3
OBJECTIVE: CENTRAL LIMIT THEOREM
9.Use the central limit theorem to find the mean and standard error of the mean of the sampling distribution.
The mean price of photo printers
on a website is $221 with a standard deviation of $69. Random samples of size
34 are drawn from the population and the mean of each sample is determined.
(ROUND ANSWERS TO THREE DECIMALS)
10.The population mean annual
salary for environmental compliance specialists is about $61,500. A random
sample of 34 specialists is drawn from this population. What is the probability
that the mean salary is less than $59,000? Assume standard deviation sigma=
$5800?
MATH 221 Week 6 DQ Confidence
Interval Concepts
1. Find the margin of error for the given values of c = 0.95 , s=
3.6 and n= 36
(Round to three decimal places as
needed)
STUDY PLAN: 6.1.13, 6.1.15
OBJECTIVE: CONSTRUCT AND INTERPRET CONFIDENCE INTERVALS FOR THE
POPULATION MEAN
2. You are given the sample mean and the sample standard
deviation. Use this information to construct the 90% and 95% confidence
intervals for the population mean. Which interval is wider? If convenient, use
technology to construct the confidence intervals.
A random sample of 37 gas grills
has a mean price of $637.70 and a standard deviation of $58.30
(Round to one decimal place as
needed)
STUDY PLAN: 6.1.35, 6.1.36, 6.1.37, 6.1.40
OBJECTIVE: DETERMINE THE MINIMUM SAMPLE SIZE
3. A doctor wants to estimate the HDL cholesterol of all 20 to
29 yearold females. How many subjects are needed to estimate the HDL
cholesterol within 4 points with 99% confidence assuming standard deviation
sigma = 19.4? Suppose the doctor would be content with 90% confidence. How does
the decrease in confidence affect the sample size required?
(Round to the next whole number)
STUDY PLAN: 6.1.53, 6.1.56
OBJECTIVE: FIND A CRITICAL VALUE
4. Find the critical value tc for the confidence level c= 0.80 and
sample size n= 17
(Round to the nearest thousandth
as needed)
STUDY PLAN: 6.2.1, 6.2.3
OBJECTIVE: CONSTRUCT AND INTERPRET CONFIDENCE INTERVALS FOR THE
POPULATION MEAN
5. The monthly incomes for 12 randomly selected people, each with
a bachelor’s degree in economics, are shown below.
4450.05 4596.56 4366.72 4455.33
4151.74 3727.63
4283.45 4527.71 4407.26 3946.96 4023.09
4221.67
a. Find the sample mean. (Round
to one decimal place as needed)
b. Find the sample standard
deviation (Round to one decimal place as needed)
c. Construct the 99% confidence
interval for the population mean mu.
STUDY PLAN: 6.2.5, 6.2.7, 6.2.24, 6.3.11, 6.3.13
OBJECTIVE: DETERMINE THE MINIMUM SAMPLE SIZE
6. A researcher wishes to estimate, with 95% confidence, the
proportion of adults who have highspeed Internet access. Her estimate must be
accurate within 2% of the true proportion.
a. Find the minimum sample size
needed, using a prior study that found that 52% of the respondents said they
have highspeed Internet access.
(Round to the nearest whole
number as needed)
b. What is the minimum sample
size needed assuming that no preliminary estimate is available?
STUDY PLAN: 6.3.17, 6.3.18
MATH 221 Week 6 ilab Confidence
Intervals
Statistical Concepts:
·Data Simulation
·Discrete Probability
Distribution
·Confidence Intervals
Calculations for a set of
variables
Ã˜Open the class survey results
that were entered into the MINITAB worksheet.
Ã˜We want to calculate the mean for the 10 rolls of the die for
each student in the class. Label
the column next to die10 in the Worksheet with the word mean.
Pull up Calc>
Row Statisticsandselect the radiobutton corresponding to Mean. For Input variables: enter
all 10 rows of the die data. Go to the Store
result in: and
select the mean column. Click OK and the mean for each observation will
show up in the Worksheet.
Ã˜We also want to calculate the median for the 10 rolls of the
die.Label the next column in the Worksheet with the word median. Repeat the above
steps but select the radiobutton that corresponds to Median and in the Store results in: text area, place the median column.
Calculating Descriptive
Statistics
Ã˜Calculate descriptive statistics for the mean and median
columns that where created above. Pull up Stat
> Basic Statistics > Display Descriptive Statistics and set Variables: to mean and median. The output will
show up in your Session Window. Print this information.
Calculating Confidence Intervals
for one Variable
Ã˜Open the class survey results
that were entered into the MINITAB worksheet.
Ã˜We are interested in calculating a 95% confidence interval for
the hours of sleep a student gets. Pull up Stat
> Basic Statistics > 1Sample t and set Samples in columns: to Sleep. Click theOK button and the results will appear in
your Session Window.
Ã˜We are also interested in the same analysis with a 99%
confidence interval. Use the same steps except select theOptions button and change the Confidence level: to 99.
MATH 221 Week 7 DQ Rejection
Region
1. A study claims that the mean survival time for certain cancer
patients treated immediately with chemotherapy and radiation is 16 months.
STUDY PLAN: 7.1.29, 7.1.30
OBJECTIVE: TEST A CLAIM ABOUT A MEAN USING CRITICAL VALUES
2. A company that makes colas drinks states that the mean caffeine
content per 12ounce bottle of cola is 45 milligrams. You want to test this
claim. During your tests, you find that a random sample of thirty 12ounce
bottles of cola has a mean caffeine content of 43.3 milligrams with a standard
deviation of 6.8 milligrams. At alpha = 0.05, can you reject the company’s
claim?
STUDY PLAN: 7.2.35, 7.2.37
OBJECTIVE: TEST A CLAIM ABOUT A MEAN USING T TEST
3. Use technology and a ttest to test the claim about the
population mean at the given level of significance aloha using the given sample
statistics. Assume the population is normally distributes. Claim mu > 71;
alpha = 0.01; sample mean = 73.1, s= 3.6 , n= 27
STUDY PLAN 7.3.23, 7.3.31
OBJECTIVE: Find P Value for t test
4. For your study on the food consumption habits of teenage males,
you randomly select 10 teenage males and ask each how many 12ounce servings of
soda he drinks each day. The results are listed below. At alpha =0.05, is there
enough evidence to support the claim that teenage males drink fewer than three
12ounce servings of soda per day? Assume the population is normally
distributed.
3.9 2.7 2.8 2.6 1.9 3.8 2.6 3.8
3.5 1.1
STUDY PLAN: 7.3.29, 7.3.30
OBJECTIVE: TEST THE CLAIM FOR PROPORTIONS USING REJECTION REGION
5. A humane society claims that less than 35% of U.S households
owns a dog. In a random sample of 409 U.S households, 154 say they own a dog.
At alpha =0.10, is there enough evidence to support the society’s claim?
STUDY PLAN: 7.4.15, 7.4.17
MATH 221 All 7 Weeks Discussion
Questions
MATH
221 Week 1 DQ Descriptive Statistics
MATH
221 Week 2 DQ Regression
MATH
221 Week 3 DQ Statistics in the News
MATH
221 Week 4 DQ Discrete Probability Variables
MATH
221 Week 5 DQ Interpreting Normal Distributions
MATH
221 Week 6 DQ Confidence Interval Concepts
MATH
221 Week 7 DQ Rejection Region
MATH 221 Week 8 Final Exam /
Devry University / 2 sets of solutions
MATH 221 Week 8 Final Exam /
Devry University
MATH 221 Entire Course + Final
Exam ( 2 sets )
MATH
221 Week 1 DQ Descriptive Statistics
MATH
221 Week 2 DQ Regression
MATH
221 Week 2 IlabCorrelation and Regression
MATH
221 Week 3 DQ Statistics in the News
MATH
221 Week 4 DQ Discrete Probability Variables
MATH
221 Week 4 ilab Discrete Data Probability Distributions
MATH
221 Week 5 DQ Interpreting Normal Distributions
MATH
221 Week 6 DQ Confidence Interval Concepts
MATH
221 Week 6 ilab Confidence Intervals.docx
MATH
221 Week 7 DQ Rejection Region
MATH
221 Week 8 Final Exam1.docx
MATH
221 Week 8 Final Exam2.docx
MATH 221 COMPLETE COURSE
MATH221 COMPLETE COURSE
Click below link for Answers