Question

Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. A manual states that in order to be a hit, a song must be no longer than three minutes and thirty seconds (or 210 seconds). A simple random sample of 50 current hit songs results in a mean length of 252.5 sec. Assume the population standard deviation of song lengths is 53.5 sec. Use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these result suggest about the advice given in the manual? What are the null and alternative hypotheses? O A. Ho u<210 sec Hu> 210 sec OB. Hou > 210 sec H: = 210 sec OD. Ho= 210 sec H:> 210 sec OC. Ho: > 210 sec Hu<210 sec

Answer 1

1)

This hypothesis test is a right tailed test .

The null and alternative hypothesis is

H₀ : $\mu$ = 210

H_a : $\mu$ > 210

2)

This hypothesis test is a right tailed test .

The null and alternative hypothesis is

H₀ : p =0.5

H_a : p > 0.5

3)

This hypothesis test is a right tailed test .

The null and alternative hypothesis is

H₀ : p = 0.15

H_a : p > 0.15