In a manual on how to have a number one song, it is stated that a song must be n

Question

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 240.5 sec. and a standard deviation of 57.58 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. The mini tab displays the following: One-sample T Test of mu=210 vs.>210 N-40 Mean-240.5 St. Dev-57.58 SE Mean-9.10 95% lower bound-225.16 T-3.35 P-0.001 (Q1) What are the hypotheses? A H0 u>210 sec. H1 u < 210sec B H0 u=210 sec. H1 u < 210sec C H0 u<210 sec. H1 u> 210sec D H0 u=210 sec. H1 u> 210 (Q2) Identify the test statistic: T = (Q3) Identify the Critical Value(s) (Q4) State 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 thatn 210 sec. C. 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. D. Fail to reject H0. There is sufficient evidence to support the claim tha tthe sample is from a population of songs with a mean lenght greater than 210 sec. 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 lenght. D. The results are inconclusive because the average length of a hit song is constantly changing. Please show all your work! Thank you

Explanation / Answer

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 240.5 sec. and a standard deviation of 57.58 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. The mini tab displays the following:

One-sample T Test of mu=210 vs.>210

N-40 Mean-240.5 St. Dev-57.58 SE Mean-9.10 95% lower bound-225.16 T-3.35 P-0.001

(Q1) What are the hypotheses?

A H0 u>210 sec. H1 u < 210sec

B H0 u=210 sec. H1 u < 210sec

C H0 u<210 sec. H1 u> 210sec

D H0 u=210 sec. H1 u> 210 sec

(Q2) Identify the test statistic: T = 3.35

(Q3) Identify the Critical Value(s) 1.685

(Q4) State 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 thatn 210 sec.

C. 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.

D. Fail to reject H0. There is sufficient evidence to support the claim tha tthe sample is from a population of songs with a mean lenght greater than 210 sec.

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

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 lengh.

D. The results are inconclusive because the average length of a hit song is constantly changing. Please show all your work! Thank you

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.