The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. Anewly hired engineer at a start-up company believes that employees at start-up companies work more onaverage then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths inhours of their work week. Their responses are shown in the table below. Test the claim using a 10% level ofsignificance. Give answer to at least 4 decimal places.Hours474959524870584550485351(a) Determine the null and alternative hypotheses?Hn: Select an answer vhoursH1: Select an answer v?hours(b) Determine the test statistic ? v(c) Determine the p-value. p-value%3D (d) Make a decision.O Accept the alternative hypotheisO Accept the null hypothesisO Do not reject the null hypothesisOReject the null hypothesis(e) The correct conclusion would be:O There is sufficient evidence to support the claim that the mean number of hours of all employees atstart-up companies work more than the US mean of 47 hoursO There is sufficient evidence to support the claim that the mean number of hours of all employees atstart-up companies work the US mean of 47 hoursO There is not sufficient evidence to support the claim the mean number of hours of all employees atstart-up companies work more than the US mean of 47 hoursO There is not sufficient evidence to support the claim that the mean number of hours of allemployees at start-up companies work the US mean of 47 hoursUse the box below to enter what test you used in the calculator.

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Answered: The work week for adults in the US that…

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 psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations. The following are the indices measured on a random sample of 16 children attending elementary school in a particular district. 48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57 For the data the mean index is 60.69 and the standard deviation is 8.26. The confidence interval is 95%, with a level of significance of 0.05. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test: b) H0: c) HA: d) Test Statistic: e) Rejection region: f) Decision in the context of the problem:
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