Question: 6.) 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,

6.) 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 237.0 sec and a standard deviation of 55.08 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?

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

What are the hypotheses? O A. Ho: p210 sec 0 c. Ho: p=210 sec H1: p>210 sec Identify the test statistic. t= D (Round to two decimal places as needed.) Identify the Pvalue. . H0: p=210 sec H1:p.S210 sec . H0: p>210 sec H1:p.S21OSec The P-value is . (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. Fail to 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. O B. Reject Ho. 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. O C. 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. O D. Fail to reject Ho. 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.What do the results suggest about the advice given in the manual? 0 A. The results are inconclusive because the average length of a hit song is constantly changing. O B. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice. 0 c. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice. 0 D. The results suggest that 237.0 seconds is the best song length

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