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did americans work less than 40 hours a week on average in 1984? in 1984, the gss included questions about the number of hours that the respondent worked per week. the average number of hours worked per week was 36.63 hours with a standard deviation of 13.23 hours. a sample of 34 respondents was questioned. find the test statistic.

Sagot :

Answer:

878 gas

Step-by-step explanation:

89=5=7=9

A test statistic is a statistic that is used to test statistical hypotheses. The test statistic of the given hypothesis is; C: -0.25

What is the test statistic?

A test statistic is a statistic that is used to test statistical hypotheses. A test statistic is a numerical summary of a data set that lowers the data to a single number that can be used to perform the hypothesis test.

As it is given to us that the sample mean(x') is 36.63 hours, while the standard deviation(σ) is 13.23.

Now, we want to know whether Americans work less than 40 hours or not. therefore, let's first define the hypothesis;

Alternative Hypothesis; μ < 40

Null Hypothesis; H₀: μ ≥ 40

Further, the Formula for test statistics is given,

[tex]z = \dfrac{(x'-\mu)}{\sigma}\\\\z = \dfrac{(36.63- 40)}{13.23}\\\\z = -0.25[/tex]

Hence, the test statistic of the given hypothesis is; C: -0.25.

Learn more about Test Statistics:

https://brainly.com/question/15980493

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