Hypothesis test for one population mean


An advertisement for the particular tax preparation software package claims you can complete your taxes in less than 56 minutes. A random selection of the 49 individual's tax preparation times (using software) was gathered, and their mean was computed to be 55 minutes. It is known that the standard deviation is four minutes. Test the hypotheses for questions 10, 11, and 12:

H0: μ ≥ 56

Ha: μ < 56(Claim)

1. Compute test statistic:

2. Find out the p-value of test-statistic:

3. Is there enough evidence to sustain the claim at significance level alpha = .05? Why?

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Basic Statistics: Hypothesis test for one population mean
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