. Let X1, X2,.., X9 and Y1, Y2, .., Y12 be two independent random samples from the respective normal distributions N( H1 , o ) and N( H2 , ož ). It is given that of = 30ž, where o is unknown. (a) What is the distribution of X - Y ? (b) What is the distribution of + ? 303 (c) Based on results of (a) and (b) determine a 100(1-a) % level confidence interval for

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5. Let X1, X2,..., X9 and Y1, Y2, ., Y12 be two independent random samples from the
respective normal distributions N( H, , oỉ ) and N( H2 , ož ). It is given that of =
303, where ož is unknown.
(a) What is the distribution of X - Y ?
8 s 11 sở ,
(b) What is the distribution of
+
30
(c) Based on results of (a) and (b) determine a 100(1-a) % level confidence interval for
H1- H2
Transcribed Image Text:5. Let X1, X2,..., X9 and Y1, Y2, ., Y12 be two independent random samples from the respective normal distributions N( H, , oỉ ) and N( H2 , ož ). It is given that of = 303, where ož is unknown. (a) What is the distribution of X - Y ? 8 s 11 sở , (b) What is the distribution of + 30 (c) Based on results of (a) and (b) determine a 100(1-a) % level confidence interval for H1- H2
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