A statistician wishing to test a hypothesis that students score at least 75% on the final in an introductory statistics course decides to randomly select 20 students in the class and have them take the test early. The average score of the 20 students on the exam was 78% and the standard deviation in the population is known to be σ = 15%. The P-value for the hypothesis H0: μ = 75 vs. Ha: μ > 75 is:
Added by Christopher W.
Step 1
The test statistic for a hypothesis test about a population mean, when the population standard deviation is known, is a Z-score. The Z-score is calculated as (sample mean - population mean) / (population standard deviation / sqrt(sample size)). In this case, the Show more…
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