OA sporting goods store believes the average age of its customers is 37 or less. A random sample of 42 customers was surveyed, and the average customer age was found to be 39.3 years. Assume the standard deviation for customerage is 8.0 years. Using a = 0.01, complete parts a and b below.a. Does the sample provide enough evidence to refute the age claim made by the sporting goods store?Determine the null and alternative hypotheses.НомH₁: HThe z-test statistic is(Round to two decimal places as needed.)The critical z-score(s) is(are).(Round to two decimal places as needed. Us a comma to separate answers as needed.)Because the test statisticb. Determine the p-value for this test.The p-value is.(Round to three decimal places as needed.)escDF1@2F220#3F3$4F4the null hypothesis.%5F5MacBook AirA6F6&7F7* CO8▶11F819F9C0Time Remaining: 01:31:36F10F11A+NextF12Gdelete

From the provided information, Population standard deviation (σ) = 8.0 Sample mean (x̄) = 39.3…

Answered: A sporting goods store believes 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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For a sample of n = 20 women aged 18 to 29, responses to the question “How tall would you like to be?" are recorded along with actual heights. In the sample, the mean desired height is 66.7 inches, the mean actual height is 64.9 inches, and the sample mean difference (desired - actual) is 1.8 inches. The sample standard deviation of the differences is 2.1 inches. Researchers hypothesize that, on average, women desire to be taller than they actually are. State the null and alternative hypotheses. What assumptions do we need in order for the conditions of the hypothesis test procedure to be met since the sample size is 20? Assuming necessary conditions are met, carry out the remaining steps of the hypothesis test (test statistic, p-value, decision, and conclusion in context).
According to the Annual Survey of Drug expenditure in country X, the annual expenditure for prescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individuals in the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given that the population standard deviation of $300. I. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast and Identify whether it is a two-tail test or a one-tail test (Left or right tail).II. Decide the suitable test statistics and justify your selection.III. Calculate the value of the relevant test statistics and identify the P-valueIV. Based on the p-value in part (III), at 99% confidence level, decide the decision criteria.V. Make the final conclusion based on the analysis.
According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 38 new homes indicated that the mean cost was $123.87 and the standard deviation was $17. Can it be concluded that the mean cost differs from $117.91, using the 0.10 level of significance? A.) State the hypotheses and identify the claim with the correct hypothesis. H0: H1: B.) Find the critical value(s). C.) Compute the test value. z= D.) Make the decision. ________ the null hypothesis. E.) Summarize the results.
The monthly earnings of a group of business students are normally distributed with a standard deviation of 478 dollars. A researcher wants to estimate the mean monthly earnings of all business students. Find the sample size needed to have a confidence level of 91% and a margin of error of 125 dollars. O a. 56 O b. 43 O c. 46 O d. 64
An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the conclusion ? Group of answer choices A. Reject the null hypothesis B. Type I error C. Fail to reject the null hypothesis D. Reject the alternative hypothesis
The mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000? a. State the null and alternate hypothesis. b. Compute the value of the t statistic. How many degrees of fredom are there?
?
A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 53 nonprofit organizations, the mean one-time gift donation in the past year was $80,with a standard deviation of $13. . If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $75? a. State the null and alternative hypotheses. Choose the correct answer below. b. Find the test statistic. c. Find the p-value for this hypothesis test.
According to the Annual survey of drugs expenditure in country X, the annual expenditure forprescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individualsin the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given thatthe population standard deviation of $300 Make the final conclusion based on the analysis
You are trying to determine that average height of females living in New Jersey. To estimate this population mean, you collect a sample of 100 women and the average height of the women sampled was 54.5 inches. Assume the standard deviation of the population is 3 inches. Using a 95% confidence level, determine the following: a. Based on the poll, what is the point estimate of the mean height of female NJ residents? b. Find the margin of error for this sample. c. Construct a confidence interval to estimate the mean height of female NJ residents using a 95% confidence level. d. What sample size would be required to achieve a margin of error of less than 1 inch ?

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