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Sagot :
Using the t-distribution, the most appropriate conclusion for the hypotesis test is given by Phone use did not change.
How to find the value of z-statistic for population mean? (z test statistic)
Suppose we're specified that:
The sample mean = [tex]\overline{x}[/tex]
The population mean =[tex]\mu[/tex]
The population standard deviation = [tex]\sigma[/tex]
The sample size = n
Then the z-statistic for this data is found as:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]
In this problem, the values of those parameters are as follows:
The sample mean [tex]\overline{x}[/tex] = -0.2
The population mean =[tex]\mu[/tex] = 0
The population standard deviation = [tex]\sigma[/tex] = 9.1
The sample size = n = 200
Hence, the test statistic is given by:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}\\\\\\Z = \dfrac{-0.2- 0}{9.1/\sqrt{200}}\\\\z = 0.31[/tex]
Thus,
t = 0.31.
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:
Phone use did not change.
Learn more about z-statistic here:
https://brainly.com/question/1640298
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