Question

Suppose that we are to conduct the following hypothesis test:

H0:μ =1030

H1:μ>1030

Suppose that you also know that σ=170, n=90, x¯=1058.9, and take α=0.01. Draw the sampling distribution, and use it to determine each of the following:

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

Answer 1

A. The value of the standardized test statistic: = 1.613

B. The rejection region for the standardized test statistic:= (2.33,∞)

C. The p-value is = 0.0534