I have two questions.1) Will improving customer service result in higher stock prices for the companies providing the better service? "When a company's satisfaction score has improved over the prior year's results and is above the national average (75.6), studies show its shares have a good chance of outperforming the broad stock market in the long run." The following satisfaction scores of three companies for the 4th quarters of two previous years were obtained from an economic indicator. Assume that the scores are based on a poll of 50 customers from each company. Because the polling has been done for several years, the standard deviation can be assumed to equal 6 points in each case.CompanyYear 1Year 2Company A7376Company B7577Company C7778(a)For Company A, is the increase in the satisfaction score from year 1 to year 2 statistically significant? Use ? = 0.05. (Let ?1 = the satisfaction score for year 2 and ?2 = the satisfaction score for year 1.)Calculate the test statistic. (Round your answer to two decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-value =(b) Can you conclude that the year 2 score for Company A is above the national average of 75.6? Use ? = 0.05.Calculate the test statistic. (Round your answer to two decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-value =(c) For Company B, is the increase from year 1 to year 2 statistically significant? Use ? = 0.05. (Let ?1 = the satisfaction score for year 2 and ?2 = the satisfaction score for year 1.)Calculate the test statistic. (Round your answer to two decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-value =What is your conclusion?(d) When conducting a hypothesis test with the values given for the standard deviation, sample size, and ?, how large must the increase from year 1 to year 2 be for it to be statistically significant? (Round your answer to two decimal places.)2) Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table.PlayerFirstRoundFinalRoundGolfer 17072Golfer 27172Golfer 37074Golfer 47271Golfer 57069Golfer 66767Golfer 77167Golfer 86875Golfer 96773Golfer 107069 PlayerFirstRoundFinalRoundGolfer 117272Golfer 127270Golfer 137073Golfer 147076Golfer 156870Golfer 166865Golfer 177170Golfer 187068Golfer 196968Golfer 206771Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down?(a)Use ? = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores.State the null and alternative hypotheses. (Use ?d = mean score first round − mean score fourth round.)(b) What is the point estimate of the difference between the two population means? (Use mean score first round − mean score fourth round.)(c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.) You may need to use the appropriate technology to answer this question.Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:Finance Majors Business Analytics Majorsn₁ = 140X₁ = $48,337$₁ = $19,000Ha:μ - μ2 < 07₂X= 30(a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors aresignificantly lower than the salaries of Business Analytics majors. Use a = 0.05. (Let μ₁ = the population mean salary forFinance majors, and let μ₂ = the population mean salary for Business Analytics majors. Enter != for ‡ as needed.)Ho:μ1 – μ2 = 0X₂ = $55,417S₂ = $10,000-(b) What is the value of the test statistic? (Use μ₁ − μ₂. Round your answer to three decimal places.)-2.788(c) What is the p-value? (Round your answer to four decimal places.)p-value = 0.0033(d) What is your conclusion?● Reject Ho. We can conclude that salaries for Finance majors are significantly lower than the salaries of BusinessAnalytics majors.Do not reject Ho. We cannot conclude that salaries for Finance majors are significantly lower than the salaries ofBusiness Analytics majors.Do not reject Ho. We can conclude that salaries for Finance majors are significantly lower than the salaries of BusinessAnalytics majors.Reject Ho. We cannot conclude that salaries for Finance majors are significantly lower than the salaries of BusinessAnalytics majors.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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I have two questions.

1) Will improving customer service result in higher stock prices for the companies providing the better service? "When a company's satisfaction score has improved over the prior year's results and is above the national average (75.6), studies show its shares have a good chance of outperforming the broad stock market in the long run." The following satisfaction scores of three companies for the 4th quarters of two previous years were obtained from an economic indicator. Assume that the scores are based on a poll of 50 customers from each company. Because the polling has been done for several years, the standard deviation can be assumed to equal 6 points in each case.

Company	Year 1	Year 2
Company A	73	76
Company B	75	77
Company C	77	78

(a)

For Company A, is the increase in the satisfaction score from year 1 to year 2 statistically significant? Use

? = 0.05.

(Let ?₁ = the satisfaction score for year 2 and ?₂ = the satisfaction score for year 1.)

Calculate the test statistic. (Round your answer to two decimal places.)

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

p-value =

(b) Can you conclude that the year 2 score for Company A is above the national average of 75.6? Use

? = 0.05.

Calculate the test statistic. (Round your answer to two decimal places.)

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

p-value =

? = 0.05.

(Let ?₁ = the satisfaction score for year 2 and ?₂ = the satisfaction score for year 1.)

Calculate the test statistic. (Round your answer to two decimal places.)

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

p-value =

What is your conclusion?

(d) When conducting a hypothesis test with the values given for the standard deviation, sample size, and ?, how large must the increase from year 1 to year 2 be for it to be statistically significant? (Round your answer to two decimal places.)

2) Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table.

Player	First Round	Final Round
Golfer 1	70	72
Golfer 2	71	72
Golfer 3	70	74
Golfer 4	72	71
Golfer 5	70	69
Golfer 6	67	67
Golfer 7	71	67
Golfer 8	68	75
Golfer 9	67	73
Golfer 10	70	69

Player	First Round	Final Round
Golfer 11	72	72
Golfer 12	72	70
Golfer 13	70	73
Golfer 14	70	76
Golfer 15	68	70
Golfer 16	68	65
Golfer 17	71	70
Golfer 18	70	68
Golfer 19	69	68
Golfer 20	67	71

Suppose you would like to determine if the mean score for the first round of a golf tournament event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down?

(a)

Use

? = 0.10

to test for a statistically significantly difference between the population means for first- and fourth-round scores.

State the null and alternative hypotheses. (Use ?_d = mean score first round − mean score fourth round.)

(b) What is the point estimate of the difference between the two population means? (Use mean score first round − mean score fourth round.)

(c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.)

You may need to use the appropriate technology to answer this question.
Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:
Finance Majors Business Analytics Majors
n₁ = 140
X₁ = $48,337
$₁ = $19,000
Ha:
μ - μ2 < 0
7₂
X
= 30
(a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are
significantly lower than the salaries of Business Analytics majors. Use a = 0.05. (Let μ₁ = the population mean salary for
Finance majors, and let μ₂ = the population mean salary for Business Analytics majors. Enter != for ‡ as needed.)
Ho:
μ1 – μ2 = 0
X₂ = $55,417
S₂ = $10,000
-
(b) What is the value of the test statistic? (Use μ₁ − μ₂. Round your answer to three decimal places.)
-2.788
(c) What is the p-value? (Round your answer to four decimal places.)
p-value = 0.0033
(d) What is your conclusion?
● Reject Ho. We can conclude that salaries for Finance majors are significantly lower than the salaries of Business
Analytics majors.
Do not reject Ho. We cannot conclude that salaries for Finance majors are significantly lower than the salaries of
Business Analytics majors.
Do not reject Ho. We can conclude that salaries for Finance majors are significantly lower than the salaries of Business
Analytics majors.
Reject Ho. We cannot conclude that salaries for Finance majors are significantly lower than the salaries of Business
Analytics majors.

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