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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

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Question 10:

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
46
51
52
50
68
47
52
48
50
55
55

What are the correct hypotheses?

H₀: hours

H₁: hours

Based on the hypotheses, find the following:

Test Statistic=

p-value=

The correct decision is to .

The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.

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
46
51
52
50
68
47
52
48
50
55
55
What are the correct hypotheses?
Ho: Select an answer
?v
hours
H₁: 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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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