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In: Statistics and Probability

Perform hypothesis tests on the following five problems. Assume that a simple random sample has been...

Perform hypothesis tests on the following five problems.

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion.

  1. 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 230 sec and a standard deviation of 53.49 sec. Use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 210 sec.

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