(a) Consider two independent random samples X1,..., X, from an N(41,0) distri- bution and Y1,..., Yn from an N (2, 0) distribution. Test Ho : oi = o versus H1 : o = o for the following basic statistics: n1 = 25, xı = 410, s = 95, and 16, x2 = 390, s = 300 n2 =

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Question 3
(a) Consider two independent random samples X1,..., X, from an N(u1, o) distri-
bution and Y1,..., Y, from an N(u2, 03) distribution. Test Ho o =
Hị : o = o for the following basic statistics: ni = 25, x1 = 410, si = 95, and
= 16, x2 = 390, s = 300
n2
(b) A new diet and exercise program has been advertised as remarkable way to reduce
fats levels in obese patients. Ten randomly selected obes patients are put on the
program, and the results after 4 month are given by the following table:
Before 268 225 252 192 307 228 246 298 231 185
106 186 223 110 203 101 211 176 194 203
After
Do the data provide sufficient evidence to support the claim that the new program
reduces fat level in obessy patients? Use a = 5%.
Transcribed Image Text:Question 3 (a) Consider two independent random samples X1,..., X, from an N(u1, o) distri- bution and Y1,..., Y, from an N(u2, 03) distribution. Test Ho o = Hị : o = o for the following basic statistics: ni = 25, x1 = 410, si = 95, and = 16, x2 = 390, s = 300 n2 (b) A new diet and exercise program has been advertised as remarkable way to reduce fats levels in obese patients. Ten randomly selected obes patients are put on the program, and the results after 4 month are given by the following table: Before 268 225 252 192 307 228 246 298 231 185 106 186 223 110 203 101 211 176 194 203 After Do the data provide sufficient evidence to support the claim that the new program reduces fat level in obessy patients? Use a = 5%.
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