Assume that a simple random sample has been selected from a normally distributed

Question

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 236.0 sec and a standard deviation of 53.4 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? What are the hypotheses? A. H_0: mu > 210 sec H_1: mu lessthanorequalto 210 sec B. H_0: mu = 210 H_1: mu lessthanorequalto 210 sec C. H_0: mu = 210 sec H_1 mu > 210 sec D. H_0: mu 210 sec Identify the test statistic t = Identify the P - value. The P-value is. State the final conclusion that addresses the original claim Choose the correct answer below

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of population
H0 : = 210
HA : > 210

Hypothesis test results:

Hence,

Hypotheses: Option C

t = 3.08

P - value = 0.002

Mean Sample Mean Std. Err. DF T-Stat P-value 236 8.4432814 39 3.0793715 0.0019

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