Question: To test H0: = 20 versus H1: < 6 20, a simple random sample of size n = 18 is obtained from a population

To test H0: µ = 20 versus H1: < 6 20, a simple random sample of size n = 18 is obtained from a population that is known to be normally distributed.

(a) If x̄ = 18.3 and s = 4.3, compute the test statistic.

(b) Draw a t-distribution with the area that represents the P-value shaded.

(c) Approximate and interpret the P-value.

(d) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, will the researcher reject the null hypothesis? Why?

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