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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 then 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 5% level of significance. Give answer to at least 4 decimal places.

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 then 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 5% level of significance. Give answer to at least 4 decimal places.

MATLAB: An Introduction with Applications
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 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 then 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 5% level of significance. Give answer to at least 4 decimal places. Hours 45 46 59 54 49 60 54 50 50 45 51 55 (a) Determine the null and alternative hypotheses? Ho: Select an answer hours H1: Select an answer hours (b) Determine the test statistic ? v (c) Determine the p-value. p-value =
Transcribed Image Text: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 then 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 5% level of significance. Give answer to at least 4 decimal places. Hours 45 46 59 54 49 60 54 50 50 45 51 55 (a) Determine the null and alternative hypotheses? Ho: Select an answer hours H1: Select an answer hours (b) Determine the test statistic ? v (c) Determine the p-value. p-value =
(d) Make a decision. Accept the alternative hypotheis Reject the null hypothesis O Accept the null hypothesis Do not reject the null hypothesis (e) The correct conclusion would be: There is not sufficient evidence to support the claim the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours O There is not sufficient evidence to support the claim that the mean number of hours of all employees at start-up companies work the US mean of 47 hours O There is sufficient evidence to support the claim that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours O There is sufficient evidence to support the claim that the mean number of hours of all employees at start-up companies work the US mean of 47 hours Use the box below to enter what test you used in the calculator.
Transcribed Image Text:(d) Make a decision. Accept the alternative hypotheis Reject the null hypothesis O Accept the null hypothesis Do not reject the null hypothesis (e) The correct conclusion would be: There is not sufficient evidence to support the claim the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours O There is not sufficient evidence to support the claim that the mean number of hours of all employees at start-up companies work the US mean of 47 hours O There is sufficient evidence to support the claim that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours O There is sufficient evidence to support the claim that the mean number of hours of all employees at start-up companies work the US mean of 47 hours Use the box below to enter what test you used in the calculator.
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