Question

In: Statistics and Probability

Billy has been staying home and watching a lot of movies lately, and based on his...

Billy has been staying home and watching a lot of movies lately, and based on his experience, he believes that the average running time for movies is equal to 140 minutes. To test this, he creates the following hypotheses:

  • H0: μ = 140
  • Ha: μ ≠ 140

...and measures the running time for 4 movies and finds the following:  

150

150

180

170

PART 1: If he uses the the p-value method to test his hypothesis, what would his p-value be (to 3 decimal places)?

PART 2: Based on your answer to PART 1, should you reject or not reject H0 at the 0.1 level of significance?

Select one:

a. reject H0

b. do not reject H0

PART 3: If Billy uses the critical value method to test his hypothesis, what would his critical value be, at the 0.1 level of significance (to 3 decimal places)? (Hint: This should be a positive number.)

PART 4: Based on your answer to PART 3, should you reject or not reject H0 at the 0.1 level of significance?

Select one:

a. reject H0

b. do not reject H0

PART 5: Based on your results from PART 2 & PART 4, what conclusion should be Billy come to?

Select one:

a. He should reject the null hypothesis; in other words, the average running time for movies appears to be different than 140 minutes

b. He should not reject the null hypothesis; in other words, the average running time for movies appears to be 140 minutes

c. He should reject the null hypothesis; in other words, the average running time for movies appears to be 140 minutes

d. He should not reject the null hypothesis; in other words, the average running time for movies appears to be different than 140 minutes

Solutions

Expert Solution

Solution:

• Conclusion: a. He should reject the null hypothesis; in other words, the average running time for movies appears to be different than 140 minutes.


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