A data set includes data from student evaluations of courses. The summary statistics are n = 93, x= 3.69, s=0.59. Use a 0.10 significance level to test the claim that the population ofstudent course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, andstate the final conclusion that addresses the original claim.chWhat are the null and alternative hypotheses?OA. Ho: H=3.75H₁: µ>3.75OC. Ho: µ#3.75H₁: µ=3.75Determine the test statistic.(Round to two decimal places as needed.)Determine the P-value.(Round to three decimal places as needed.)State the final conclusion that addresses the original claim.Ho- There isTech help380 -aEDC$4888RFV%5TGBevidence to conclude that the mean of the population of student course evaluations is equal to 3.75MacBook AirYH&7NU***J* 00OB. Ho: μ=3.75H₁: μ<3.758OD. Ho: μ=3.75H₁:μ*3.75MI9KOJAGLcommandY correct.P.{alt[option?Next}delete

Given claim: The population of student course evaluations has a mean equal to 3.75. Null Hypothesis:…

Answered: A data set includes data from student…

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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The average retirement age in America is 66 years old. Do small business owners retire at an older 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. 63, 74, 59, 64, 74, 60, 71, 67, 65, 70, 63 What can be concluded at the the � = 0.05 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: �0: �1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is � Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly older than 66 at � = 0.05, so there is sufficient evidence to conclude that the population mean retirement age for small business owners is older than 66. The data suggest…
According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14 persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05 persons, and suppose we assume the population standard deviation of family sizes is o = 1 person. Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010. Perform your hypothesis test, and select the best interpretation of your results from the choices below. Select one: O a. At the 5% level of significance the data are statistically significant. We cannot determine the average family size has decreased since 2010. O b. At the 5% level of significance the data are statisticall significant. We can determine the average family size has decreased since 2010. O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the average family size has decreased since 2010. O d. At the 5% level of significance the data…
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A data set includes data from 400 random tornadoes. The display from the technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.5 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the test statistic and P-value?
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A professional marketing survey involves product recognition in New York and California. Of 558 New York residents surveyed, 193 knew the product while 179 out of 614 Californians knew the product. 1. Test the claim that the recognition rates are greater in New York. 2. In which state does the product need the most help with name recognition? Use the given data to compare mean age of residents in Seaside and Marina. Sample Data * = 43.2 yr s = 4.7 yr n = 97 Seaside Before After 1. Test the claim that the mean age of seaside residents is equal to the mean age of Marina residents. 2. How would the result change if we use a = 0.01? Matched Pairs: Write the alternative hypothesis H₁, for each claim: 1. New engine management software will increase the gas mileage in your car. 2. My coaching will reduce your golf score. Difference An instructor gives a test before and after a lesson with these results from randomly selected students Before and After Data 54 70 = 61 Marina 56 s = 6.7 year…
There are many ways to measure the reading ability of children. One frequently used test is the DRP or Degree of Reading Power. The national average score in DRP test is 32. We want to determine if there is sufficient evidence at the 5% level to suggest that the mean score of all third graders in YOUR district is higher than the national mean. The DRP scores for a simple random sample of 41 third graders in that suburban school in YOUR district yielded a mean of 35.2. Assume that the population of DRP scores of third graders in that suburban school district are normally distributed with a population std.dev of 11.
The recommended hours of sleep per night for adults is 8 hours. A doctor, who works at a sleep study facility, believes average number of hours of sleep per night for adults is more than the recommended 8 hours. To test this claim, at th significance level, the doctor collects the following data on a sample of 25 adults at the sleep study facility and records amount of sleep. The following is the data from this study: Sample size = 25 adults Sample mean = 8.5 hours Sample standard deviation = 0.9 hours Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=#, t represent the correct hypothesis.) Provide your answer below:

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