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Sagot :
Answer:
The t-test statistic is [tex]t = -0.697[/tex]
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
The sample standard deviation is 7.309.
This means that [tex]\sigma = 7.309[/tex]
Adam reads that the average speed that cars drive on the highway is 65 mph.
This means that [tex]\mu = 65[/tex]
60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph.
8 values, so [tex]n = 8[/tex]
The sample mean is:
[tex]X = \frac{60.5 + 63.2 + 54.7 + 51.6 + 72.3 + 70.7 + 67.2 + 65.4}{8} = 63.2[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{63.2 - 65}{\frac{7.309}{\sqrt{8}}}[/tex]
[tex]t = -0.697[/tex]
The t-test statistic is [tex]t = -0.697[/tex]
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