Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

In a manual on how to have a number one​ song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 228.9 sec and a standard deviation of 57.4 sec. Use a 0.05 significance level and the accompanying Minitab display to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the​ manual?

a. What are the​ hypotheses?

b. Identify the test statistic.

t = ___

c. Identify the​ P-value.

d. State the final conclusion that addresses the original claim.

e.  What do the results suggest about the advice given in the​ manual?

Answer 1