Question

Suppose that we are to conduct the following hypothesis test:

H0:H1:μμ=>970970H0:μ=970H1:μ>970

Suppose that you also know that σ=220σ=220, n=85n=85, x¯=1016.2x¯=1016.2, and take α=0.005α=0.005. 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

D. Your decision for the hypothesis test:

A. Do Not Reject H0H0.
B. Do Not Reject H1H1.
C. Reject H0H0.
D. Reject H1H1

Answer 1

Answer 2

H0:μ1=μ2H1:μ1>μ2n1=10n2=10xˉ1=75xˉ2=65s1=20s2=10ν=n1−11(n1s12)2+n2−11(n2s22)2(n1s12+n2s22)2=91(10202)2+91(10102)2(10202+10102)2=13.2353≈13T=n1s12+n2s22xˉ1−xˉ2=10202+1010275−65=1.41421P−value:P(T>1.41421)=Ft,13(1.41421)=0.0904

Since the P-value is greater than the significance level, the new time slot is not effective.

PLACE