The workweek 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 working adults in the US. She asks 15 engineering friends at start-ups for the lengths in hours of their workweek. Their responses are shown in the table below. Test the claim using a 1% level of significance.464254524845494950465555535448The hypotheses for this problem are:H0: μ = 47H1: μ > 47What is the correct summary?OPTIONSA. There is not enough evidence to support the claim that the mean workweek for employees at start-up companies work more than 47 hours.B. There is enough evidence to support the claim that the mean workweek for employees at start-up companies work more than 47 hours.

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Description: The workweek 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 working adults in the US. She

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

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The workweek 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 working adults in the US. She asks 15 engineering friends at start-ups for the lengths in hours of their workweek. Their responses are shown in the table below. Test the claim using a 1% level of significance.

The hypotheses for this problem are:

H₀: μ = 47

H_1: μ > 47

What is the correct summary?

OPTIONS

A. There is not enough evidence to support the claim that the mean workweek for employees at start-up companies work more than 47 hours.

B. There is enough evidence to support the claim that the mean workweek for employees at start-up companies work more than 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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