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Sagot :
Using the t-distribution, the t-statistic for the two-sided test would be of t = 0.7.
What is the test statistic for a t-distribution hypotheses test?
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
- [tex]\overline{x}[/tex] is the sample mean.
- [tex]\mu[/tex] is the expected value.
- s is the standard deviation of the sample.
- n is the sample size.
The values of the parameters are given as follows:
[tex]\mu = 22, s = 7.043, n = 6[/tex].
The sample mean is:
[tex]\overline{x} = \frac{23 + 35 + 17 + 30 + 20 + 19}{6} = 24[/tex]
Hence the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{24 - 22}{\frac{7.043}{\sqrt{6}}}[/tex]
t = 0.7.
More can be learned about the t-distribution at https://brainly.com/question/16194574
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