Question

Conduct the stated hypothesis test for  μ 1− μ 2. μ 1− μ 2. Assume that the samples are independent and randomly selected from normal populations.

H0 :  μ 1− μ 2=0H0 :  μ 1− μ 2=0	H1 :  μ 1− μ 2 ≠ 0H1 :  μ 1− μ 2 ≠ 0	α =0.02 α =0.02
n1=37n1=37	x̄ 1=2,263 x̄ 1=2,263	σ 1=150 σ 1=150
n2=33n2=33	x̄ 2=2,309 x̄ 2=2,309	σ 2=177.3 σ 2=177.3

Standard Normal Distribution Table

a. Calculate the test statistic.

z=z=

Round to two decimal places if necessary

b. Determine the critical value(s) for the hypothesis test.

• +

Round to two decimal places if necessary

c. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

h(i,x)=

{10if  program i halts on input x,otherwise.{1if  program i halts on input x,0otherwise.

Answer 1

(b)

(c) By decision rule,

Fail to Reject H0.