10. A stock analyst wondered whether the mean rate of return of financial, energy, and utility stocksdiffered over the past 5 years. He obtained a simple random sample of eight companies from each ofthe three sectors and obtained the 5-year rates of return shown in the accompanying table (in percent).FinancialEnergyUtilities10.7612.8911.8817.0115.1213.966.335.86 13.465.0311.239.8219.518.933.958.21 10.4520.739.63.447.116.5217.415.7Are the mean rates of return different at the a-0.10 level of significance? What type of hypothesis test isnecessary to determine this? What is the conclusion if the Test Stat is 2.095 with a P-value=0.148?

From the provided information, it is interpreted that:The test statistic value, TestStat=2.095.The…

Answered: 10. A stock analyst wondered whether…

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 publishing company is interested in understanding the relationship between the years of experience of its sales staff and their annual sales. The data they collect from a random sample of 12 sales representatives is reported below. Annual sales ($1,000s) (y) Years of experience (x) 477.26 2.91 458.35 5.2 261.12 2 641 8.08 192.61 1.94 448.8 6.12 349.46 7.35 242.76 1 315.12 4.12 279.76 2.1 641.9 9.09 546.11 6.18 Mean annual sales are $404.52 (in $1,000s) and the mean number of years work experience are 4.67. Linear regression analysis is undertaken using Excel and the output is reported in the following table. SUMMARY OUTPUT Regression Statistics Multiple R 0.82909202 R Square 0.68739358 Adjusted R Square 0.65613294 Standard Error 90.2743705 Observations 12 ANOVA df SS MS F Significance F Regression 1 179199.385 179199.385 21.9891062 0.0008554 Residual 10 81494.6198 8149.46198 Total 11 260694.005 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept…
5.50 Watching live television. A survey of 442 people aged 18 to 29 revealed that 30% watch live television every day.25 You take a random sample of 20 undergraduates from your university and ask them whether they watch live TV every day. If their rate matches the 30% rate: a. What is the distribution of the number of students who say they watch live television every day? b. What is the distribution of the number of students who say that they do not watch live television every day? c. What is the probability that no more than 2 of the 20 students in your sample say that they watch live television every day?
Express House Delivery Service provides high quality service to customers. The company guarantees a refund of all charges if a package it is delivering does not arrive at its destination by the specified time. It is known from past data that despite all efforts, 2% of the packages mailed through this company do not arrive at their destinations within the specified time. Suppose a corporation mails 10 packages through Express House Delivery Service on a certain day.
A report on Americans' opinions about long-term investments included data from a poll of 1,010 adults. The responses to the question "What do you think is the best long-term investment?" are summarized in the given relative frequency distribution. Response Real Estate Stocks & Mutual Funds Gold Savings Bonds Other Relative Frequency 0.30 0.25 0.20 0.15 0.10 Relative Frequency 0.05 0.00 0.32 0.21 0.19 (a) Use this information to construct a bar chart for the response data. CHOICE A 0.17 0.08 0.03 Funds Best Long-Term Investment CHOICE B (b) Write a few sentences on how people responded to the question posed. 0.20 0.15 0.15 ko. Lul M. ha. 0.10 0.10 0.05 0.05 Real Stocks & Gold Savings Boads Other Real Stocks & Gold Savings Boads Other Real Stocks & Gold Savings Bonds Other Real Stocks & Gold Savings Boads Other Estate Mutual Estate Mutual Estate Mutual Estate Mutual Funds Funds Best Long-Term Investment Best Long-Term Investment O 0.30 0.25 0.00 Ⓒ CHOICE C % of respondents answered that…
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…
You don't need to be rich to buy a few shares in a mutual fund. The question is, how reliable are mutual funds as investments? This depends on the type of fund you buy. The following data are based on information taken from a mutual fund guide available in most libraries.A random sample of percentage annual returns for mutual funds holding stocks in aggressive-growth small companies is shown below. -1.5 14.4 41.3 17.4 -16.2 4.4 32.6 -7.3 16.2 2.8 34.3 -10.6 8.4 -7.0 -2.3 -18.5 25.0 -9.8 -7.8 -24.6 22.8 Use a calculator to verify that s2 ≈ 346.508 for the sample of aggressive-growth small company funds.Another random sample of percentage annual returns for mutual funds holding value (i.e., market underpriced) stocks in large companies is shown below. 16.1 0.9 7.4 -1.8 -3.8 19.4 -2.5 15.9 32.6 22.1 3.4 -0.5 -8.3 25.8 -4.1 14.6 6.5 18.0 21.0 0.2 -1.6 Use a calculator to verify that s2 ≈ 136.999 for value stocks in large companies.Test the claim that the population…
Asian economies impact some of the world's largest populations. The growth of an economy has a big influence on the everyday lives of ordinary people. Are Asian economies changing? A random sample of 15 Asian economies gave the following information about annual percentage growth rate. Region 1 2 3 4 5 6 7 8 Modern Growth Rate % 4.4 2.9 7.6 2.4 0.9 5.5 2.5 4.8 Historic Growth Rate 3.1 1.7 7.2 5.3 3.7 6.4 3.4 8.8 Region 9 10 11 12 13 14 15 Modern Growth Rate % 4.3 5.2 6.5 3.8 3.4 0.2 7.5 Historic Growth Rate 6.6 7.8 6.2 1.9 1.2 2.9 5.3 Does this information indicate a change (either way) in the growth rate of Asian economies? Use a 10% level of significance. Compute the sample test statistic. (Round your answer to two decimal places.) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data. 1.16 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.16 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.97 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.77 1.17 1.57 2.62 1.66 2.05 The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.484, 1.612, and 0.294, respectively. Does this data suggest that the true average percentage of organic matter in such soil is something other than 3%? Carry out a test of the appropriate hypotheses at significance level 0.10. [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.] State the appropriate hypotheses. ⒸH₁: μ = 3 H₂:μ # 3 OH:μ #3 Ha: μ 3 t = P-value = Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal…
The most obese countries in the world have obesity rates that range from 11.4% to 74.6%. This data is summarized in the following table. Percent of Population Obese Number of Countries 11.4–20.45 32 20.45–29.45 11 29.45–38.45 5 38.45–47.45 0 47.45–56.45 3 56.45–65.45 2 65.45–74.45 1 74.45–83.45 1 (a) What is the best estimate of the average obesity percentage for these countries? (Round your answer to two decimal places.)(b) The United States has an average obesity rate of 33.9%. Is this rate above average or below? (Round your answers to two decimal places.) Since the average for the United Sates is 33.9%, compared to the average obesity rate of %, the United States has an obesity rate % higher than average. (c) How does the United States compare to other countries? (Assume that the United States is included in the data. Assume the other countries in the range 29.45–38.45 have higher obesity than the United States.) 1. The United States has an obesity rate…

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