Question
Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about...
Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. A manual states that in order to be a hit, a song must be no longer than three minutes and thirty seconds (or 210 seconds). A simple random sample of 50 current hit songs results in a mean length of 250.0 sec. Assume the population standard deviation of song lengths is 54.5 sec. Use a 0.01 significance level to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these result suggest about the advice given in the manual? What are the null and alternative hypotheses? A. H0: muequals210 sec H1: mugreater than210 sec B. H0: mugreater than210 sec H1: muequals210 sec C. H0: mugreater than210 sec H1: muless than210 sec D. H0: muless than210 sec H1: mugreater than210 sec What is the value of the test statistic? zequals nothing (Round to two decimal places as needed.) Identify the critical value(s) of z. zequals nothing (Round to two decimal places as needed. Use a comma to separate answers as needed.) ▼ Reject Fail to reject H0. There ▼ is is not sufficient evidence to support the claim that the sample is from a population of songs with a mean greater than 210 sec. This result suggest that the advice given in the manual ▼ is is not sound.
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