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 241.4 sec. and a standard deviation of 57.59 sec. Use a 0.05 significance level and the accompanying mini-tab display to test the claim that the sample is from a population of songs with a mean great that n 210 sec. What do these results suggest about the advice given in the manual.

The mini tab displays the following:

One-sample T

Test of mu = 210 vs.>210

Identify the test statistic:
T = Identify the P-Value
P-value = Stat the final conclusion that addresses the original claim. Choose from below:
A. Reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.
B. Fail to reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length great that n 210 sec.
C. Reject H0. There is sufficient evidence to sport the claim that the sample is from a population of songs with a mean length greater than 210 sec.
D. Fail to reject H0. There is sufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.
E. What do the results suggest about the advice given in the manual?
a. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
b. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice
c. The results suggest that 241.4 seconds is the best song length.
d. The results are inconclusive because the average length of a hit song is constantly changing.

Transcribed Image Text:

SE Mean 9.11 95% lower bound 226.06 St. Dev 57.59 Mean 241.40 3.45 0.001 40 A HO u>210 sec. H1u< 210sec B HO u=210 sec. H1 u< 210sec C HO u<210 sec. H1 u> 210sec D HO u=210 sec. H1 u> 210sec