In testing the hypotheses $H _ { 0 } : \mu = 20$ . $H _ { 1 } : \mu

Question

In testing the hypotheses $H _ { 0 } : \mu = 20$ . $H _ { 1 } : \mu < 20$ .
the following information was given: $\sigma = 8.1 , \quad n = 100 , \quad \bar { x } = 18.1 , \quad \alpha = 0.025$ .
a. Calculate the value of the test statistic.
b. Set up the rejection region.
c. Determine the p-value.
d. Interpret the result.

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The Answer of In testing the hypotheses $H _ { 0 } : \mu = 20$ . $H _ { 1 } : \mu < 20$ .
the following information was given: $\sigma = 8.1 , \quad n = 100 , \quad \bar { x } = 18.1 , \quad \alpha = 0.025$ .
a. Calculate the value of the test statistic.
b. Set up the rejection region.
c. Determine the p-value.
d. Interpret the result.

In Testing the Hypotheses H0:μ=20H _ { 0 } : \mu = 20H0​:μ=20

In Testing the Hypotheses $H _ { 0 } : \mu = 20$