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I need help with this problem. Assume that a simple random sample has been selected from a normally distributed population and test the given claim.

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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 243.7 sec and a standard deviation of 54.14 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? One-Sample T Test of mu = 210 vs > 210 95% Lower N Mean StDev SE Mean Bound 243.70 54.14 8.56 229.28 3.94 0.000 What are the hypotheses? O A. Ho: p = 210 sec O B. Ho: H = 210 sec Hy : us210 sec Hy : H > 210 sec O C. Ho: H = 210 sec O D. Ho: H = 210 sec Hy: H > 210 sec Hy: H = 210 sec Identify the test statistic. t= (Round to two decimal places as needed.) The P-value is 0.000. (Verify this using Table A-3!) 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? O 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. O B. The results suggest that 243.7 seconds is the best song length. O C. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice. O D. The results are inconclusive because the average length of a hit song is constantly changing

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