Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed.

a.State the null and alternative hypotheses.
b.Using a critical value, test the hypothesis at the 10% level of significance.
c.Using a p-value, test the hypothesis at the 10% level of significance.
d.Using a confidence interval, test the hypothesis at the 10% level of significance.
e.Could a Type II error have been committed in this hypothesis test?

Question

Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed.
  
a.State the null and alternative hypotheses.
b.Using a critical value, test the hypothesis at the 10% level of significance.
c.Using a p-value, test the hypothesis at the 10% level of significance.
d.Using a confidence interval, test the hypothesis at the 10% level of significance.
e.Could a Type II error have been committed in this hypothesis test?

Quizplus · Accepted Answer

The Answer of Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed.
  
a.State the null and alternative hypotheses.
b.Using a critical value, test the hypothesis at the 10% level of significance.
c.Using a p-value, test the hypothesis at the 10% level of significance.
d.Using a confidence interval, test the hypothesis at the 10% level of significance.
e.Could a Type II error have been committed in this hypothesis test?

Nancy Believes That the Average Running Time of Movies Is