The memorizing ability of elder person in high income group and low income group is to be measured. Two independent samples of sizes n1 = 5 and n2 = 8 considered. each person is given a test and scores are recorded as follows. Assume populations are normally distributed. 1st sample - 78, 65, 89, 95, 72 2nd sample - 68, 52, 81, 79, 23, 91, 73, 59 Assuming that the population variances are equal, find a, b such that, P(a< b) = 0.9 1 Hint: You may use that Fn1,n2,0.95 Fn2,n1,0.05

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The memorizing ability of elder person in high income group and low income group is to
be measured. Two independent samples of sizes n1 = 5 and n2 = 8 considered. each
person is given a test and scores are recorded as follows. Assume populations are normally
distributed.
1st sample - 78, 65, 89, 95, 72
2nd sample - 68, 52, 81, 79, 23, 91, 73, 59
Assuming that the population variances are equal, find a, b such that,
P(a<
<b) = 0.9
1
Hint: You may use that Fn1,n2,0.95
Fn2,n1,0.05
Transcribed Image Text:The memorizing ability of elder person in high income group and low income group is to be measured. Two independent samples of sizes n1 = 5 and n2 = 8 considered. each person is given a test and scores are recorded as follows. Assume populations are normally distributed. 1st sample - 78, 65, 89, 95, 72 2nd sample - 68, 52, 81, 79, 23, 91, 73, 59 Assuming that the population variances are equal, find a, b such that, P(a< <b) = 0.9 1 Hint: You may use that Fn1,n2,0.95 Fn2,n1,0.05
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