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Problem 1 Consider two random samples X₁, XX-N(,,) and Y., -N(,, 80) which are independent of each other. It is known that n, -5, n, -9,X-7, F=4. Test null hypothesis H,: ,= H, against one-sided alternative H,: , >, at 5% significance level if (a) Standard deviation is known σ=3. (b) Standard deviation is not known, 2 =216. M (c) Standard deviation is not known, 7=216 and X- = 261.

Problem 1 Consider two random samples X₁, XX-N(,,) and Y., -N(,, 80) which are independent of each other. It is known that n, -5, n, -9,X-7, F=4. Test null hypothesis H,: ,= H, against one-sided alternative H,: , >, at 5% significance level if (a) Standard deviation is known σ=3. (b) Standard deviation is not known, 2 =216. M (c) Standard deviation is not known, 7=216 and X- = 261.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Problem 1 Consider two random samples X₁, X.X-N(,, o) and Y.....,Y, -N(,, 80) which are independent of each other. It is known that n, -5, n, -9,X-7, Y-4. Test null hypothesis H, ,, against one-sided alternative H,: , >, at 5% significance level if (a) Standard deviation is known a 3. (b) Standard deviation (c) Standard deviation is not known, is not known, ;=216. M =216 and X=261. M
Transcribed Image Text:Problem 1 Consider two random samples X₁, X.X-N(,, o) and Y.....,Y, -N(,, 80) which are independent of each other. It is known that n, -5, n, -9,X-7, Y-4. Test null hypothesis H, ,, against one-sided alternative H,: , >, at 5% significance level if (a) Standard deviation is known a 3. (b) Standard deviation (c) Standard deviation is not known, is not known, ;=216. M =216 and X=261. M
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