Questions
The data below represents the amount that a sample of fifteen customers spent for lunch ($)...

  1. The data below represents the amount that a sample of fifteen customers spent for lunch ($) at a fast-food restaurant:

8.42   6.29   6.83   6.50   8.34   9.51   7.10   6.80   5.90   4.89   6.50   5.52   7.90   8.30   9.60

  • At the 0.01 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? Follow and show the 7 steps for hypothesis testing.  
  • Determine the p-value and interpret its meaning.
  • What assumption must you make about the population distribution in order to conduct the test in part a? Is the assumption valid? Use and include an appropriate graph from Minitab. Write a couple of sentences supporting your answer.  
  • Verify your results using Minitab by attaching or including the Minitab output.

2. Of 900 surveyed active LinkedIn members, 368 reported that they are planning to spend at least $1,000 on consumer electronics in the coming year.

  • At the 0.05 level of significance, is there evidence that the percentage of all LinkedIn members who plan to spend at least $1,000 on consumer electronics is greater than 38%? Follow and show the 7 steps for hypothesis testing.
  • Determine the p-value and interpret its meaning.
  • What assumption must you make in order to conduct the test in part a? Demonstrate if the assumption is met.  
  • Verify your results for parts a and b using Minitab. Attach or include your output.  

In: Math

A researcher examined whether the time of day someone exercises affects memory retention in college courses.  Participants...

A researcher examined whether the time of day someone exercises affects memory retention in college courses.  Participants were assigned to one of three exercise groups: morning, afternoon, evening, and their performance on a memorization task was measured.  This data is below:

Morning Afternoon Evening
6 4 7
7 5 6
8 6 8
5 4 6
6 5 5
Mean = 6.40 Mean = 4.80 Mean = 6.40
s = 1.14 s =.84 s = 1.14

Assuming the researcher wants to know whether the performance was different in these groups (alpha = .05).  What is the Mean Squares Within (SSW)?  Round to two decimal places.

In: Math

9. An internet provider wants to estimate the proportion of its existing customers that would sign...

9. An internet provider wants to estimate the proportion of its existing customers that would sign up to their new streaming service for movies, tv shows etc. Several sampling strategies have been proposed.
An internet provider wants to estimate the proportion of its existing
For each of these proposed sampling strategies, indicate what type of sampling method is used and what biases, if any, may result.
a) Randomly select one street in each city which has many users of this internet provider and door knock households with this provider asking if they would purchase the streaming.
b) Go through the internet provider’s customer records, selecting every 100th customer and send an email asking if they are interested in purchasing this streaming.
10. A supermarket has a loyalty card for their customers who shop in person or shop online. The supermarket wants to survey their loyalty card customers about their online shopping service. Specifically, the supermarket wants to know what proportion of loyalty card customers plan to use their new online order/delivery system. The supermarket takes a random sample of 800 customers from the loyalty card database and sends an email with a request to fill out a survey in exchange for a $50 online supermarket voucher.
a) What is the population of interest?
b) What is the sampling frame?
c) What sampling method is used?
d) Will this sample suffer from any bias? Explain.

11.A student is trying to find the average mark of a test in BUS 108. They ask 3 students their test mark and find the average mark. The student now decides to ask 10 students their test mark and finds the average mark. Why do you think the student decided to increase the sample size?

12. Decide which of the following is cross-sectional data or time series data.
a) $75 AU, the value of the Australian dollar today.
b) Monthly Wine sales (millions litres) for the same company in 2018: c) $650, your last electricity bill for your home
d) Your electricity bill ($) for each quarter of 2018


13. An online site published an article comparing smart phones. It selected 40 of the most popular smart phones currently for sale, comparing the brand, name, cost (in dollars), size of screen (in centimetres), camera resolution (in pixels) and colours available, amongst other things.
a) What are the categorical variables? Are they nominal or ordinal?
b) What are the numerical variables and their units of measurement?
c) State whether the 40 mobile phones are a sample or population. Briefly
explain your answer.

14. Classify each of the following as nominal, ordinal, discrete or continuous data.
a) Number of laptops in a household
b) Price of Apple Inc. shares
c) Student ID number
d) Assembly time of a computer chip
e) Postcodes of different suburbs
f) Restaurant reviews.

15. Which of the following would you consider as primary data or as secondary data?
a) Data on employees recorded by the Human Resources department of a large corporation, used by payroll.
b) Results from a survey on washing powder conducted by the same washing powder manufacturing company.
c) Share prices for an Australian bank over the past seven years, posted on a website.
d) Voting history of different electorates in a city.

In: Math

Suppose you were attending a university where students hated the bookstore and their aggressively high prices....

Suppose you were attending a university where students hated the bookstore and their aggressively high prices. Suppose further that a student organization goes to the bookstore and argues that prices of text books are exceeding $150 per class. At such outrageous prices, students can no longer afford to go to school. The college bookstore claims that an average student pays $101.75 per class for texts (far below the stated claim of $150). A student group randomly selects ten courses from the catalog and finds the costs for each: $140, $125, $150, $124, $143, $170, $125, $94, $127, and $53.

a. Is that enough to justify a claim that the bookstore is underestimating the amount spent? Make sure that you show your work.

b. Students decide to take a sample from one more class and find that this class has a textbook cost of $195. Does adding this observation to the other 10 observations change your answer to part (a) above?

In: Math

what is Straw man and what type of error is this

what is Straw man and what type of error is this

In: Math

Slices of pizza for a certain brand of pizza have a mass that is approximately normally...

Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 66.8 grams and a standard deviation of 1.94 grams.

a) For samples of size 16 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

b) What is the probability of finding a random slice of pizza with a mass of less than 66.3 grams?

c) What is the probability of finding a 16 random slices of pizza with a mean mass of less than 66.3 grams?

d) What sample mean (for a sample of size 16) would represent the bottom 15% (the 15th percentile)?  grams

In: Math

A researcher examined whether the time of day someone exercises affects memory retention in college courses.  Participants...

A researcher examined whether the time of day someone exercises affects memory retention in college courses.  Participants were assigned to one of three exercise groups: morning, afternoon, evening, and their performance on a memorization task was measured.  This data is below:

Morning Afternoon Evening
6 4 7
7 5 6
8 6 8
5 4 6
6 5 5
Mean = 6.40 Mean = 4.80 Mean = 6.40
s = 1.14 s =.84 s = 1.14

Assuming the researcher wants to know whether the performance was different in these groups (alpha = .05).  What is the Sum of Squares Between (SSB)?  Round to two decimal places.

In: Math

2 The Civil War. A national survey conducted among a simple random sample of 1,507 adults...

2 The Civil War. A national survey conducted among a simple random sample of 1,507 adults shows that 56% of Americans think the Civil War is still relevant to American politics and political life.

(a) Conduct a hypothesis test to determine if these data provide strong evidence that the majority of the Americans think the Civil War is still relevant.

(b) Interpret the p-value in this context.

(c) Calculate a 90% confidence interval for the proportion of Americans who think the Civil War is still relevant. Interpret the interval in this context, and comment on whether or not the confidence interval agrees with the conclusion of the hypothesis test

In: Math

In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate...

In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 240 of these people said they never did so. Reasons cited for their behavior included too many steps in the process, amount too small, missed deadline, fear of being placed on a mailing list, lost receipt, and doubts about receiving the money.

Calculate an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. (Round your answer to four decimal places.)


In: Math

8) Scores on an exam have a normal distribution with a mean of 80 and a...

8) Scores on an exam have a normal distribution with a mean of 80 and a standard deviation of 12.

a) Find the probability that a person would score above 90.

b) Find the probability that a person would score between 75 and 85.

c) Find the probability that a group of 7 people would have a mean score above 84.

d) Find the score needed to be in the top 10% of the class.

In: Math

For each combination of sample size and sample proportion, find the approximate margin of error for...

For each combination of sample size and sample proportion, find the approximate margin of error for the 95% confidence level. (Round the answers to three decimal places.) (a) n = 200, p̂ = 0.53. (b) n = 500, p̂ = 0.53. (c) n = 500, p̂ = 0.30. (d) n = 500, p̂ = 0.60. (e) n = 800, p̂ = 0.50.

Suppose that in a random sample of 450 employed Americans, there are 57 individuals who say that they would fire their boss if they could. Calculate a 90% confidence interval for the population proportion who would fire their boss if they could. (Round the answers to three decimal places.) to

In a randomly selected sample of 400 registered voters in a community, 140 individuals say that they plan to vote for Candidate Y in the upcoming election. (a) Find the sample proportion planning to vote for Candidate Y. (Round your answer to two decimal places.) (b) Calculate the standard error of the sample proportion. (Round your answer to three decimal places.) (c) Find a 95% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y. (Round your answers to three decimal places.) to (d) Find a 98% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y. (Round your answers to three decimal places.) to

In: Math

An urn contains 5 blue marbles and 4 yellow marbles. One marble is​ removed, its color​...

An urn contains 5 blue marbles and 4 yellow marbles. One marble is​ removed, its color​ noted, and not replaced. A second marble is removed and its color is noted.

​(a) What is the probability that both marbles are blue? yellow​?

​(b) What is the probability that exactly one marble is blue​?

A tree diagram has a root that splits into 2 branches labeled blue and yellow. Each primary branch splits into 2 secondary branches, labeled blue and yellow.yellowblueblueblueyellowyellow

In: Math

4.            What is the empirical probability of a loss? [Topic 2] Date      OLIM Int. 15/6/2014          2.36...

4.            What is the empirical probability of a loss? [Topic 2]

Date      OLIM Int.

15/6/2014          2.36

22/6/2014          2.46

29/6/2014          2.52

6/7/2014             2.46

13/7/2014          2.44

20/7/2014          2.54

27/7/2014          2.46

3/8/2014             2.42

10/8/2014          2.54

17/8/2014          2.53

24/8/2014          2.65

31/8/2014          2.64

7/9/2014             2.56

14/9/2014          2.54

21/9/2014          2.4

28/9/2014          2.3

5/10/2014          2.2

12/10/2014        2.08

19/10/2014        2.06

26/10/2014        2.13

2/11/2014          2.11

9/11/2014          2.25

16/11/2014        2.24

23/11/2014        2.16

30/11/2014        2.09

7/12/2014          2.04

14/12/2014        2.11

21/12/2014        2.09

28/12/2014        2.04

4/1/2015             2.01

11/1/2015          1.96

18/1/2015          2

25/1/2015          1.975

1/2/2015             2.03

8/2/2015             2

15/2/2015          2

22/2/2015          2

1/3/2015                     2

8/3/2015                     2.01

15/3/2015          1.98

22/3/2015          1.99

29/3/2015          2

5/4/2015                     2.03

12/4/2015          2.05

19/4/2015          2

26/4/2015          2.02

3/5/2015             2

10/5/2015          1.98

17/5/2015          1.985

24/5/2015          1.985

31/5/2015          1.88

7/6/2015                      1.885

14/6/2015          1.865

21/6/2015          1.865

28/6/2015          1.885

5/7/2015             1.825

12/7/2015          1.79

19/7/2015          1.78

26/7/2015          1.84

2/8/2015             1.8

9/8/2015             1.8

16/8/2015          1.755

23/8/2015          2.07

30/8/2015          1.98

6/9/2015             1.975

13/9/2015          2.04

20/9/2015          1.995

27/9/2015          2

4/10/2015          2

11/10/2015        2

18/10/2015        1.98

25/10/2015        2

1/11/2015          1.99

8/11/2015          1.915

15/11/2015        1.845

22/11/2015        1.82

29/11/2015        1.805

6/12/2015          1.77

13/12/2015        1.81

20/12/2015        1.835

27/12/2015        1.82

3/1/2016             1.695

10/1/2016          1.665

17/1/2016          1.63

24/1/2016          1.62

31/1/2016          1.61

7/2/2016             1.58

14/2/2016          1.585

21/2/2016          1.61

28/2/2016          1.755

6/3/2016                     1.74

13/3/2016          1.745

20/3/2016          1.74

27/3/2016          1.69

3/4/2016             1.655

10/4/2016          1.72

17/4/2016          1.725

24/4/2016          1.65

1/5/2016             1.595

8/5/2016             1.6

15/5/2016          1.705

22/5/2016          1.815

29/5/2016          1.835

5/6/2016                       1.86

12/6/2016          1.815

19/6/2016          1.855

26/6/2016          1.88

3/7/2016             1.91

10/7/2016          1.885

17/7/2016          1.88

24/7/2016          1.91

31/7/2016          1.83

7/8/2016             1.85

14/8/2016          1.96

21/8/2016          2.06

28/8/2016          2.07

4/9/2016             2.09

11/9/2016          2.03

18/9/2016          2.04

25/9/2016          2.06

2/10/2016          2.05

9/10/2016          2.07

16/10/2016        2.06

23/10/2016        2.1

30/10/2016        2.08

6/11/2016          2.1

13/11/2016        1.95

20/11/2016        1.96

27/11/2016        2.02

4/12/2016          2.07

11/12/2016        2.13

18/12/2016        2

25/12/2016        1.97

1/1/2017             2

8/1/2017             2.06

15/1/2017          1.995

22/1/2017          2

29/1/2017          2.01

5/2/2017             2.02

12/2/2017          2.1

19/2/2017          2.06

26/2/2017          2

5/3/2017             1.975

12/3/2017          1.93

19/3/2017          1.86

26/3/2017          1.92

2/4/2017             1.955

9/4/2017             1.91

16/4/2017          1.91

23/4/2017          1.91

30/4/2017          1.9

7/5/2017             1.96

14/5/2017          1.995

21/5/2017          2.07

28/5/2017          2.02

4/6/2017             2.03

11/6/2017          2

18/6/2017          1.96

25/6/2017          1.95

2/7/2017             1.915

9/7/2017             1.94

16/7/2017          1.945

23/7/2017          1.93

30/7/2017          1.96

6/8/2017             1.95

13/8/2017          2.02

20/8/2017          2.1

27/8/2017          2.06

3/9/2017             2.02

10/9/2017          2.01

17/9/2017          2.01

24/9/2017          2.02

1/10/2017          2.14

8/10/2017          2.22

15/10/2017        2.29

22/10/2017        2.35

29/10/2017        2.36

5/11/2017          2.33

12/11/2017        2.19

19/11/2017        2.2

26/11/2017        2.25

3/12/2017          2.19

10/12/2017        2.16

17/12/2017        2.07

24/12/2017        2.03

31/12/2017        2.04

7/1/2018             2.09

14/1/2018          2.11

21/1/2018          2.19

28/1/2018          2.22

4/2/2018             2.08

11/2/2018          2.17

18/2/2018          2.26

25/2/2018          2.23

4/3/2018             2.4

11/3/2018          2.34

18/3/2018          2.37

25/3/2018          2.34

1/4/2018             2.34

8/4/2018             2.35

15/4/2018          2.29

22/4/2018          2.28

29/4/2018          2.18

6/5/2018             2.3

13/5/2018          2.29

20/5/2018          2.28

27/5/2018          2.19

3/6/2018             2.21

10/6/2018          2.17

In: Math

A problem experiment is conducted in which the sample space of the experiment is S= {1,2,3,4,5,6,7,8,9,10,11,12},...

A problem experiment is conducted in which the sample space of the experiment is S= {1,2,3,4,5,6,7,8,9,10,11,12}, event F={7,8}, and event G={9,10,11,12}. Assume that each outcome is equally likely. List the outcomes in F and G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.

In: Math

Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data...

Hormone replacement therapy (HRT) is thought to increase the risk of breast cancer. The accompanying data on

x = percent of women using HRT and

y = breast cancer incidence (cases per 100,000 women)

for a region in Germany for 5 years appeared in the paper "Decline in Breast Cancer Incidence after Decrease in Utilization of Hormone Replacement Therapy." The authors of the paper used a simple linear regression model to describe the relationship between HRT use and breast cancer incidence.

HRT Use Breast Cancer Incidence
46.30 103.30
40.60 105.00
39.50 100.00
36.60   93.80
30.00   83.50

(a)

What is the equation of the estimated regression line? (Round your answers to three decimal places.)

ŷ = __+(___x)

(b)

What is the estimated average change in breast cancer incidence (in cases per 100,000 women) associated with a 1 percentage point increase in HRT use? (Round your answer to three decimal places.)

cases per 100,000 women

(c)

What would you predict the breast cancer incidence (in cases per 100,000 women) to be in a year when HRT use was 34%? (Round your answer to three decimal places.)

cases per 100,000 women

(d)

Should you use this regression model to predict breast cancer incidence for a year when HRT use was 13%? Explain.

(e)

Calculate the value of

r2.

(Round your answer to three decimal places.)Interpret the value of

r2.

(f)

Calculate the value of

se.

(Round your answer to three decimal places.)Interpret the value of

In: Math