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 1% level of significance. Give answer to at least 4 decimal places. Hours 49 47 59 51 47 69 53 60 46

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 1% level of
significance. Give answer to at least 4 decimal places.
Hours
49
47
59
51
47
69
53
60
46
46
55
54
a. What are the correct hypotheses?
Ho: Select an answer
H₁: Select an answer ? O
?
Based on the hypotheses, find the following:
b. Test Statistic =
c. p-value =
hours
math.com
hours
d. The correct decision is to Select an answer
e. The correct summary would be: Select an answer
hours of all employees at start-up companies work more than the US mean of 47 hours.
Question Help: Video Message instructor
that the mean number of
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 1% level of significance. Give answer to at least 4 decimal places. Hours 49 47 59 51 47 69 53 60 46 46 55 54 a. What are the correct hypotheses? Ho: Select an answer H₁: Select an answer ? O ? Based on the hypotheses, find the following: b. Test Statistic = c. p-value = hours math.com hours d. The correct decision is to Select an answer e. The correct summary would be: Select an answer hours of all employees at start-up companies work more than the US mean of 47 hours. Question Help: Video Message instructor that the mean number of
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