The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average than most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give the answer to at least 4 decimal places.**Hours:**- 49- 45- 60- 54- 47- 62- 53- 53- 48- 50- 55- 52**What are the correct hypotheses?**- $ H_0: $ [Select an answer] [ ? ] [ ] hours- $ H_1: $ [Select an answer] [ ? ] [ ] hours**Based on the hypotheses, find the following:**- Test Statistic = [ ]- p-value = [ ]**The correct decision is to** [Select an answer] **.****The correct summary would be:** [Select an answer] that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.

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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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