P-value, and state the final conclusion that addressos the original dlaim. In a

ID: 3055409 • Letter: P

Question

P-value, and state the final conclusion that addressos the original dlaim. 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 population of songs with a mean greater than 210 sec. What do these resu'ts suggest about the advice given in the manual Click the icon to view the Minitab display. What are the hypotheses? OA. Ho: ?. 210 sec sample of 40 current hit songs results in a mean of 55.4 sec. Use a 0.05 significance level and the accompanying Minitab display to test the claim that the sample is from a OB, Ho: ?#210 sec Hy: >210 sec OD. Ho: ? > 210 sec H1 : ? s 210 sec O c. Ho: ?210 sec t(Round to two decimal places as needed.) The P-value is?(Round to three decimal places as needed.) OA. Reject Ho. There is insufficient evidence to support the claim that the sample is from a popuiation of songs with a mean length greater than 210 sec. a population of songs with a mean length greater than 210 sec. O D. Reject Ho: There is sufficient evidence to support the claim that the sample is from a population of songs with a mean the sample is from a population of songs with a mean length greater than 210 sec What do the results suggest about the advice given in the manual?

Explanation / Answer

Result:

B.Ho: µ=210 sec H1: µ>210 sec

Test statistic t=2.72

P value = 0.005

D. Reject Ho. 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. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not a sound advice.

One-Sample T

Descriptive Statistics

Mean

StDev

SE Mean

95% Lower Bound
for ?

233.80

55.40

8.76

219.04

?: mean of Sample

Test

Null hypothesis

H?: ? = 210

Alternative hypothesis

H?: ? > 210

T-Value

P-Value

2.72

0.005