Question

Assume that a simple random sample has been selected from a normally distributed population and test...

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

210210

seconds. A simple random sample of

4040

current hit songs results in a mean length of

219.0219.0

sec and a standard deviation of

56.3956.39

sec. Use a

0.050.05

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

210210

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

State the final conclusion that addresses the original claim. Choose the correct answer below.

A.

RejectReject

Upper H 0H0.

There is

sufficientsufficient

evidence to support the claim that the sample is from a population of songs with a mean length greater than

210210

sec.

B.

Fail to rejectFail to reject

Upper H 0H0.

There is

sufficientsufficient

evidence to support the claim that the sample is from a population of songs with a mean length greater than

210210

sec.

C.

Fail to rejectFail to reject

Upper H 0H0.

There is

insufficientinsufficient

evidence to support the claim that the sample is from a population of songs with a mean length greater than

210210

sec.

D.

RejectReject

Upper H 0H0.

There is

insufficientinsufficient

evidence to support the claim that the sample is from a population of songs with a mean length greater than

210210

sec.

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

A.

The results are inconclusive because the average length of a hit song is constantly changing.

B.The results

suggestsuggest

that the advice of writing a song that must be no longer than

210210

seconds is not sound advice.

C.The results

do not suggestdo not suggest

that the advice of writing a song that must be no longer than

210210

seconds is not sound advice.

D.The results suggest that

219.0219.0

seconds is the best song length.

0 0
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Answer #1

The statistical software output for this problem is:

Since p - value is greater than 0.05, we do not reject Ho. Hence,

Final conclusion: Option C is correct.

What do the results suggest about the advice given in the​ manual? Option C is correct.

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