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, critical...

Extracted text: 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, critical value(s), 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 227.3 sec and a standard deviation of 54.07 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? Identify the test statistic. (Note: You will need to decide if you must use z-scores or t-scores) z or t= (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) The P-value is Identify the critical value(s) of z or t. The critical value(s) is(are). (Round to three decimal places as needed. Use a comma to separate answers as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. O A. 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. 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. OC. 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 D. 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. 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 227.3 seconds the best song length. OC. The results are inconclusive because the average length of a hit song is constantly changing. O D. The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.