You may need to use the appropriate technology to answer this question.

Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest).

(a)

The estimated regression equation for this data is

ŷ = 25.933 + 0.301x,

where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use α = 0.05.

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

(b)

Test for a significant relationship using the F test. Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =  

(c)

Show the ANOVA table for these data. (Round your p-value to three decimal places and all other values to two decimal places.)

(a) Select a newspaper/magazine/Internet article published in 2019-2020 that is related to international trade and/or political economy of trade. Summarize the content of the article in your own words. The source of the article should be provided in the reference.
(3 marks; maximum 80 words excluding the references; state the number of words used at the end of your answer)

(b) Discuss the article selected in part (a) using relevant economic concepts and theories from Topic 4 and/or Topic 5 of the lecture. You can provide additional information beyond the textbook and lecture notes to enrich your discission. The sources of such additional information, if any, should be provided in the references.

(17 marks; maximum 300 words excluding the references; state the number of words used at the end of your answer)

1. Each month, a convenience store starts with four copies of the magazine, Worm Digest Monthly. Let X be the number of customers coming into the store who want to buy a copy of WDM. The distribution of X is shown in the table below.

1. What is the probability that the store will sell all four copies of WDM?
2. What is the expectation of Y = the number of copies of WDM sold by the store?
3. The store pays $3 for each copy, sells copies for $6, and sells unsold copies back to the publisher for $1.50. What is the expectation of the monthly net sales due to WDM in the store?

According to Money magazine, Maryland had the highest median annual household income of any state in 2018 at $75,847.† Assume that annual household income in Maryland follows a normal distribution with a median of $75,847 and standard deviation of $33,800.

(a) What is the probability that a household in Maryland has an annual income of $90,000 or more? (Round your answer to four decimal places.)

(b) What is the probability that a household in Maryland has an annual income of $50,000 or less? (Round your answer to four decimal places.)

(c) What is the probability that a household in Maryland has an annual income between $40,000 and $70,000? (Round your answer to four decimal places.)

(d) What is the annual income (in $) of a household in the eighty-sixth percentile of annual household income in Maryland? (Round your answer to the nearest cent.)

(c)Determine the p-value. (Round your answer to 4 decimal places.)

  p-value  

A magazine includes a report on the energy costs per year for​ 32-inch liquid crystal display​ (LCD) televisions. The article states that

1414

randomly selected​ 32-inch LCD televisions have a sample standard deviation of

​$3.773.77.

Assume the sample is taken from a normally distributed population. Construct

9898​%

confidence intervals for​ (a) the population variance

sigmaσsquared2

and​ (b) the population standard deviation

sigmaσ.

Interpret the results.

​(a) The confidence interval for the population variance is

​(nothing​,nothing​).

​(Round to two decimal places as​ needed.)

Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice.

​(Round to two decimal places as​ needed.)

A.With

9898​%

​confidence, you can say that the population variance is between

nothing

and

nothing.

B.With

22​%

​confidence, you can say that the population variance is between

nothing

and

nothing.

C.With

9898​%

​confidence, you can say that the population variance is

lessless

than

nothing.

D.With

22​%

​confidence, you can say that the population variance is

greatergreater

than

nothing.

​(b) The confidence interval for the population standard deviation is

​(nothing​,nothing​).

​(Round to two decimal places as​ needed.)

Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice.

​(Round to two decimal places as​ needed.)

A.With

9898​%

​confidence, you can say that the population standard deviation is

greatergreater

than

nothing

dollars per year.

B.With

22​%

​confidence, you can say that the population standard deviation is between

nothing

and

nothing

dollars per year.

C.With

9898​%

​confidence, you can say that the population standard deviation is between

nothing

and

nothing

dollars per year.

D.With

22​%

​confidence, you can say that the population standard deviation is

lessless

than

nothing

dollars per year.

Hollow Truth Publishers is considering whether to launch a new e-magazine. The annual percentage rate of return (APR) on a similar risk project is 8%, the cash flows occur semi-annually (at the end of the 6th and 12th month for each year), and the publishing company requires a payback period of 2 years. The finance department has calculated that the required rate of return for all projects that it will consider is 14%.

The costs of the project are:

Advertising on various billboards and cable television stations $200,000

Hollow Truth’s headquarters accounting department charges $50,000

Production costs and employee bonuses $260,000

Last year’s purchase price for the e-magazine's offices $470,000

Potential rental income from the offices if rented to a 3rd party $200,000

a. What are the total relevant costs of the project? Explain why you consider each cost relevant or not for this project.
b. Assume the semi-annual cash inflows are $150,000 and $200,000 in year 1, and $250,000 and $200,000 in year 2. Calculate the payback, discounted payback, IRR and MIRR of the project. Based on each criterion, should you accept the project? Why?
c. If the project is analyzed using the NPV rule, should you accept the project? Why?
What would you do if you believed the semi-annual cash flows had a high degree of uncertainty and could be potentially 15% lower? (You don’t have to re-estimate the NPV, just describe what you would do and how you would assess this.)
d. If you were the CEO of the firm, would you accept or reject this project? Why?   

A health magazine conducted a survey on the drinking habits of US young adults (ages 21-35). On the question "Do you drink beer, wine, or hard liquor each week?" 985 of the 1516 adults interviewed said "yes".

A. Test at 0.02 significance level whether the population proportion of US young adults who drink beer, wine, or hard liquor on a weekly basis is significantly different from 65%. Include the hypotheses, the Z-test statistic, the p-value, test decision and conclusion in the context of the problem.

B. Do you believe your results are valid? Explain.

C. What test decision error could you have made and provide an explanation of this error in context of the problem.

D. Include a copy of your R-code and test output.