Question

To test H0:µ =80 versus H1:µ < 80, a simple random sample of size n = 22 is obtained from the population that is known to be normally distributed.
(a) If = 76.9 and s = 8.5, compute the test statistic.
(b) If the researcher decides to test the hypothesis at the α = 0.02 level of significance, determine the critical value.
α = 0.02 level of significance → Z 0.02 = the Z-score that corresponds to a right area of 0.02
= invNorm(1-area, µ, σ)
(c) Draw a t-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis? Why?

Answer 1

To test H0:µ =80 versus H1:µ < 80, a simple random sample of size n = 22 is obtained from the population that is known to be normally distributed.
(a) If = 76.9 and s = 8.5, compute the test statistic.
(b) If the researcher decides to test the hypothesis at the α = 0.02 level of significance, determine the critical value.
α = 0.02 level of significance → Z 0.02 = the Z-score that corresponds to a right area of 0.02
= invNorm(1-area, µ, σ)
(c) Draw a t-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis? Why?

Answer 2

If-x= 76.9 and s = 8.5, compute the test statistic.