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Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that address the original claim.
A manual states that in order to be a hit, a song must be no longer than three minutes and ten seconds (or 190 seconds). A simple random sample of 45 current hit songs results in a mean length of 255.0 sec. Assume the population standard deviation of song lengths is 53.5 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 190 sec. What do these results suggest about the advice given in the manual?
What are the null and alternative hypotheses?
Let X, Y, and Z refer to the three random variables. It is known that Var(X) = 4, Var(Y) = 9, and Var(Z) = 16. It is further known that E(X) = 1, E(Y) = 2, and E(Z) = 4. Furthermor
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