We have two normal populations with unknown means μ₁ and μ₂ and a common variance σ²....

We have two normal populations with unknown means μ₁ and μ₂ and a common variance σ². Two independent samples are randomly drawn from the populations with the following data:

n₁ = 26 xത₁ = 8.35 s₁ = 1.7

n₂ = 34 xത₂ = 7.46 s₂ = 2.2

(a)[5] At the level of significance α = 0.01, test H₀: μ₁ = μ₂ versus H₁: μ₁ ≠ μ₂. Sketch the test.

(b)[2] Sketch and find the p‐value of the test in part (a). Would you reject H₀ if α = 0.10?

(c)[3] Construct the 99% CI for the sample mean difference (xത₁ ‐ xത₂). Based on the CI, can the two means be the same? Do you see the conclusion similarity between part (a) and part (c)? Hint: Use 5 decimal places. Use some Excel lookups for values and probabilities.

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Expert Solution

NOW , P VALUE CAN BE CALCULATED THROUGH V LOOK UP IN EXCEL BY THE FUNCTION, tdist(t,degree_of_freedom,tails) .

I HOPE I WAS HELPFUL AND HAVE CLEARED YOUR DOUBTS.

THANKYOU

orchestra answered 1 year ago

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