It seems these days that college graduates who are employed full-time work more than 40 -hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were 22 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 22 respondents was 44 hours, with a standard deviation of 10 hours. Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean μ . Can we conclude that μ is greater than 40 hours? Use the 0.1 level of significance. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we conclude, at the 0.1 level of significance, that the mean number of hours worked per week by college graduates is greater than 40 hours? Yes No

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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It seems these days that college graduates who are employed full-time work more than

-hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were

respondents who were college graduates employed full-time. The mean number of hours worked per week by these

respondents was

hours, with a standard deviation of

hours.

Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean

. Can we conclude that

is greater than

hours? Use the

0.1

level of significance.

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The p-value: (Round to at least three decimal places.)
Can we conclude, at the 0.1 level of significance, that the mean number of hours worked per week by college graduates is greater than 40 hours?	Yes	No

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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