Nancy believes that the average running time of moves is equal to 140 minutes. A

Question

Nancy believes that the average running time of moves is equal to 140 minutes. A sample of movies was taken and the following running times were obtained. Assume the population stanadard deviation is 15 minutes.
150 150 180 170 140. 160. 160. 180
Using the p-value approach, test the hypotheses at the 10% level of significance to determine if the Nancy's belief is correct. Nancy believes that the average running time of moves is equal to 140 minutes. A sample of movies was taken and the following running times were obtained. Assume the population stanadard deviation is 15 minutes.
150 150 180 170 140. 160. 160. 180
Using the p-value approach, test the hypotheses at the 10% level of significance to determine if the Nancy's belief is correct.
150 150 180 170 140. 160. 160. 180
Using the p-value approach, test the hypotheses at the 10% level of significance to determine if the Nancy's belief is correct.

Explanation / Answer

For the given data, we have:

Sample mean, X' = 161.25

Sample size, n = 8

Population SD, S = 15

Calculating t-statistic:

t = (X'-140)/(S/n0.5) = (161.25-140)/(15/80.5) = 4.007

Degrees of freedom, df = n-1 = 7

Using t-table to calculate the p-value for a two tailed test for df = 7, we get:

p = 0.0051

Since p<0.1, so we reject the hypothesis that avg running time is 140 minutes.

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