1. A business professor studied students' performance in their comprehension test at the first yearlevel. The norm for the population mean is designed to yield a scaled score value of 50 for thefirst-year students. A random of 10 students with scores are the following: 48, 42, 55, 35, 50, 47,45, 45, 39 and 42. Could this sample be representative of the population for whom the test isdesigned? Test the hypothesis at 0.05 level.

Answered: 1. A business professor studied…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A recent survey by the Indiana State University Department of Athletics aims to evaluate the popularity of its mascot, Sycamore Sam within its community. The department interviews 250 randomly selected individuals in the community of 13000, and finds that 175 are fond of the "woodland creature" mascot. Based on the information given, can we assume the sample distribution of sample proportions will follow a Normal model? Answer by listing, and evaluating, the 4 conditions necessary using complete sentences.
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.78, and computes the standard deviation of the sample to be $1.10. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ X OSO O>0 H₂ : O H₁ :0 0=0 0#0 (b) Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.08. Fill in the blanks to describe a Type I erro A Type I error would be (Choose…
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The average retirement age in America is 63 years old. Do small business owners retire at a different average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 66, 60, 62, 71, 58, 73, 60, 72, 70, 61, 57 What can be concluded at the the a 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv = 63 H: uv> c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean retirement age for small business owners is not significantly different from 63 at a = 0.05, so there is insufficient evidence to conclude that the population mean…
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Is Friday the 13th Unlucky? The table shows the number of hospital admissions for Friday the 6th and Friday the 13th. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th.(Be sure to subtract in the same direction). Friday 6th Friday 13th Difference 4 2 6 10 5 6 9 13 3 2 11 15 12 12
A polling company contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and the company wants to evaluate its effectiveness. The number of in-depth surveys conducted during a week by a random sample of agents are: 50 55 58 54 60 52 59 62 60 60 51 53 57 59 56 If we want to test at the .05 level of significance, whether the mean number of interviews conducted by the agents is more than 53 per week, which of the following findings would be correct? Select one: a. The test statistic, critical value are 1.034 and 1.761 respectively and the decision is not to reject the Ho. b.The test statistic, critical value are 3.667 and 1.761 respectively and the decision is to reject the Ho. c. The test statistic, critical value are 3.7378 and 1.761 respectively and the decision is to reject the Ho. d. The test statistic, critical value are 1.034 and 1.761 respectively and the decision is not to reject the Ho. e. The test statistic,…

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