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The Average Work Week The mean work week for engineers in start-up companies is claimed to be about 45 hours. Kara, a newly hired engineer hopes that the mean hours worked per week is less than 45 hours. She asks random engineers in start-ups for the lengths of their mean work weeks. The data are below. Assume work time is normally distributed. Hours 57 49 41 38 43 55 46 40 47 49 29 50 42 48 55 40 32 44 38 34 59 Evaluate Kara's claim using a hypothesis test. Write the hypothesis for the test. OH;: p= 45 H: p= 45

The Average Work Week The mean work week for engineers in start-up companies is claimed to be about 45 hours. Kara, a newly hired engineer hopes that the mean hours worked per week is less than 45 hours. She asks random engineers in start-ups for the lengths of their mean work weeks. The data are below. Assume work time is normally distributed. Hours 57 49 41 38 43 55 46 40 47 49 29 50 42 48 55 40 32 44 38 34 59 Evaluate Kara's claim using a hypothesis test. Write the hypothesis for the test. OH;: p= 45 H: p= 45

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The Average Work Week The mean work week for engineers in start-up companies is claimed to be about 45 hours. Kara, a newly hired engineer hopes that the mean hours worked per week is less than 45 hours. She asks random engineers in start-ups for the lengths of their mean work weeks. The data are below. Assume work time is normally distributed. Hours 57 49 41 38 43 55 46 40 47 49 29 50 42 48 55 40 32 44 38 34 59 Evaluate Kara's claim using a hypothesis test. Write the hypothesis for the test. OH;: p= 45 H: H= 45 OH: p= 45 H: p< 45 OH: p= 45 H: p> 45 OH: p= 44.571 H: p= 44.571 Ο H: μ 44.571 H: p< 44.571 О на: и 44.571 H: p> 44.571 What is the p-value of this test? (round to 4 places) Based on the sample data, we should conclude that .. O There is sufficient evidence at the a = 0.05 level that the average work week is less that 45 hours. O There is not sufficient evidence at the a = 0.05 level that the average work week is less that 45 hours.
Transcribed Image Text:The Average Work Week The mean work week for engineers in start-up companies is claimed to be about 45 hours. Kara, a newly hired engineer hopes that the mean hours worked per week is less than 45 hours. She asks random engineers in start-ups for the lengths of their mean work weeks. The data are below. Assume work time is normally distributed. Hours 57 49 41 38 43 55 46 40 47 49 29 50 42 48 55 40 32 44 38 34 59 Evaluate Kara's claim using a hypothesis test. Write the hypothesis for the test. OH;: p= 45 H: H= 45 OH: p= 45 H: p< 45 OH: p= 45 H: p> 45 OH: p= 44.571 H: p= 44.571 Ο H: μ 44.571 H: p< 44.571 О на: и 44.571 H: p> 44.571 What is the p-value of this test? (round to 4 places) Based on the sample data, we should conclude that .. O There is sufficient evidence at the a = 0.05 level that the average work week is less that 45 hours. O There is not sufficient evidence at the a = 0.05 level that the average work week is less that 45 hours.
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Step 1

We have given that 

Sample size n =21

Degree of freedom =df = n - 1

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