It seems these days that college graduates who are employed full-time work more than40-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 were19respondents who were college graduates employed full-time. The mean number of hours worked per week by these19respondents was44hours, with a standard deviation of9hours.Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with meanμ. 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.

Name: It seems these days that college graduates who are employed full-time
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Description: It seems these days that college graduates who are employed full-time work more than40-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 were19respondents

Given information- Population mean, μ = 40 Sample size, n = 19 Sample mean, x-bar = 44 Sample…

Answered: It seems these days that college…

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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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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