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Plot the rejection region

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Reference no: EM132402421

The level of iodine in Company A's table salt follows a N (μ1,σ1) distribution, while the level in Company B's salt follows a N (μ2 , σ2 ) distribution. A random sample of each companies' product yielded

Company A: n1 =16 x ¯1 =22.4 s1 =1.0 Company B: n2 =9 x ¯2 =27.5 s2 =1.4

Assume that σ1 = σ2.

(a) Test H0 :μ1 =μ2 versus Ha :μ1 <μ2 at the α=0.01 significance level. Find the test statistic and critical value, plot the rejection region, and state your decision and final conclusion.

(b) Based upon your answer in 8.2(a), is the mean iodine level for Company A significantly lower than Company B? Why?

(c) Approximate the p-value for the test in 8.2(a) using the t-table.

(d) Based upon your answer in 8.2(c), is the mean iodine level for Company A significantly lower than Company B? Why?

Reference no: EM132402421

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