Question: To test H_0: µ = 4.5 versus H₁:µ > 4.5, a simple random sample of size n = 13 is obtained from a population that is known to be normally distributed.

a. If x? = 4.9 and s = 1.3, 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 a = 0.1 level of significance, will the researcher reject the null hypothesis? Why?