Forbes magazine published data on the best small firms in 2012. These were firms that had been publicly traded for at least a year, have a stockprice of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table below shows the ages of the corporateCEOS for a random sample of these firms.48 58 5161565974635350596060574663 57554755574361624967 55675549Use this sample data to construct a 90% confidence interval for the mean age of CEO's for these top small firms. Use the Student's t-distribution(a) what is the lower bound for 90% confidence interval for the mean age of CEO's? (Round to 3decimal places)UESTION 32(b) What is the upper bound (Round to 3 decimla places)

The formula for 90% confidence interval for the mean age of CEO’s is given as

Answered: Forbes magazine published data on the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A local bookstore arranges book counter in different schools around the year. The CEO says that, compare to last year, the number of orders received in school has been dropped this year. The table below shows the number of orders received in a random sample of 14 schools in this year and last year. School 1 3 4 6. 8. 9. 10 11 12 13 14 This year 85 35 96 45 33 52 67 77 45 67 43 76 80 65 Last year 92 38 93 81 42 50 61 89 56 63 49 65 92 81 Test, at 5% level of significance, is there sufficient evidence to conclude that the CEO's statement is correct. (The test report must include (i) null hypothesis and alternative hypothesis, (ii) rejection region, (iii) calculation of test statistics, and (iv) conclusion.)
An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets.A random sample of leading companies in France gave the following percentage yields based on assets. 4.6 5.4 3.4 3.1 2.4 3.5 2.8 4.4 5.7 3.4 4.1 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Use a calculator to verify that the sample variance is s2 ≈ 2.109 for this sample of French companies.Another random sample of leading companies in Germany gave the following percentage yields based on assets. 3.3 3.2 3.2 4.1 5.4 5.5 5.0 5.4 3.2 3.5 3.7 2.6 2.8 3.0 3.0 2.2 4.7 3.2 Use a calculator to verify that s2 ≈ 1.077 for this sample of German companies.Test the claim that there is a difference (either way) in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance. How could your test conclusion relate to the…
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 31 Actor (years) 27 28 27 33 27 29 40 32 32 9 62 34 39 41 29 35 53 41 41 42 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, Hg is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd year(s) H1: Hd year(s) (Type integers or decimals. Do not round.) Identify…
Foxbees magazine published data on the best small firms in 2012. These publicly traded firms have a stock price of at least $5 per share and have reported annual revenue between $5 million and $1 billion. The data below shows the ages of the corporate CEOS for a random sample of these firms. 49 67 59 48 45 49 39 44 37 38 48 38 43 48 62 74 70 58 58 40 74 35 36 54 38 45 54 55 64 75 69 36 55 72 69 60 40 64 39 59 74 52 40 49 38 38 74 50 55 50 R vector Copy to clipboard a) What is the mean of the sample? (Round to 4 decimal places) b) What is the standard deviation of the sample mean or the standard error? (Round to 4 decimal places) c) What is the sample size? (Round to whole number)
An economist wonders if corporate productivity in some countries is more volatile than in other countries. One measure of a company's productivity is annual percentage yield based on total company assets.A random sample of leading companies in France gave the following percentage yields based on assets. 4.3 5.1 3.8 3.6 2.2 3.5 2.8 4.4 5.7 3.4 4.1 6.8 2.9 3.2 7.2 6.5 5.0 3.3 2.8 2.5 4.5 Use a calculator to verify that the sample variance is s2 ≈ 2.042 for this sample of French companies.Another random sample of leading companies in Germany gave the following percentage yields based on assets. 3.3 3.9 3.7 4.6 5.1 5.5 5.0 5.4 3.2 3.5 3.7 2.6 2.8 3.0 3.0 2.2 4.7 3.2 Use a calculator to verify that s2 ≈ 1.024 for this sample of German companies.Test the claim that there is a difference (either way) in the population variance of percentage yields for leading companies in France and Germany. Use a 5% level of significance. How could your test conclusion relate to the…
The annual salary for a sample of U.S. governors in 2017 are as follows: $120395, $177467, $130273, $139339, $177412, $99636, $150000, $159300, $123427, $108167, $149730, $110834, $105000, $142265, $148886, $98600, $106078, $109470, $160135, $175000, $150000, $105000. 1. Find the mean and the standard deviation for the sample of annual salaries. 2. What is the associated t - score for a 99% confidence level? 3. What is the margin of error for a confidence level of 99%? 4. Find a 99% confidence interval for the mean salary of U.S. governors in 2017. Assume the data is normally distributed.
The price per share of stock for a sample of 25 companies was recorded at the beginning of the first financial quarter and then again at the end of the first financial quarter. How stocks perform during the first financial quarter is an indicator of what is ahead for the stock market and the economy. Company End of 1st quarter Beginning of 1st quarter Bank of New York Mellon 54.19 53.82 Kraft Foods 55.70 77.02 E.I. du Pont de Nemours and Company 102.57 109.00 Consolidated Edison 79.95 83.58 Johnson & Johnson 126.01 139.23 Union Pacific 132.73 135.78 Comcast 32.06 41.07 Applied Materials 50.91 53.04 Pfizer 35.40 36.44 General Electric 14.05 17.98 AT&T 32.54 38.54 Cisco Systems 44.83 38.86 Home Depot 184.63 188.03 JP Morgan Chase 108.78 107.95 Procter & Gamble 71.96 90.65 Verizon 48.82 53.53 Devon Energy 36.20 42.23 Lilly 79.07 84.68 Microsoft 95.00 85.95 Coca Cola 42.59 45.59 Qualcomm 50.82 65.20 Exxon Mobil Corporation 76.95…
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 27 31 29 31 34 23 28 37 33 31 D Actor (years) 67 41 36 42 26 35 46 40 37 39 Họ: Ha year(s) H7: Ha v (Type integers or decimals. Do not round.) year(s) Identify the test statistic. t = (Round to two decimal places as needed.) Identify the P-value, P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V the significance level, V the null hypothesis. There sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the…

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