In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 : μ ≠ 90 , a random sample of 16 elements selected from the population produced a mean of 85.8 and a standard deviation of 5.7. The test is to be made at the 10% significance level. Assume the population is normally distributed.
What are the critical values of t?
-1.341 and 1.341
-1.746 and 1.746
-1.753 and 1.753
-1.645 and 1.645
What is the value of the test statistic, t, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?
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