Use the one-standard-deviation x^{2}-test and the one-standard-deviation x^{2}-interval procedure to conduct the required hypothesis test and obtain t

Khadija Wells

Khadija Wells

Answered question

2021-06-19

Use the one-standard-deviation x2-test and the one-standard-deviation x2-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. s=7 and n=26
a. H0:σ=5,Hmathrm{a}:σ>5,α=0.01.
b. 98% confidence interval.

Answer & Explanation

likvau

likvau

Skilled2021-06-20Added 75 answers

a. Compute the value of the test statistic:
x2=n1σ02s2=26152{˙72=49
Determine the critical value(s) using table VII with df=n-1=26-1=25
x0.012=44.314
If the test statistic is in the rejection region, then reject the null hypothesis:
44.314<49RejectH0
b. Determine the critical values using table VII with df=n1=261=25:
x10.012=x0.902=11.524
The boudaries of the confidence interval are then:
n1xα22{˙s=26111.524{˙710.31
n1x1α22˙s=26144.314˙75.258

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