# Q8 - ¯ x = 4 17 Determine the 90 conﬁdence interval for...

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EXERCISES IN STATISTICS Series A, No. 8 1. The value of the mean of a random sample of size 20 from a normal pop- ulation is ¯ x = 81 . 2 Find the 95% confidence interval for the mean of the population on the assumption that the variance is V ( x ) = 80. 2. Let ¯ x be the mean of a random sample of size n from an N ( μ, σ 2 ) popu- lation. What is the probability that the interval (¯ x 2 σ / n, ¯ x + 2 σ / n ) includes the point μ ? 3. The mean of a random sample of size 17 from a normal population is
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Unformatted text preview: ¯ x = 4 . 17. Determine the 90 % conﬁdence interval for the population mean when the estimate variance of the population is 5.76. 4. Let ¯ x be the mean of a random sample of size n from a distribution which is N ( μ, σ 2 ) where σ 2 = 90. Find n such that P (¯ x − 1 ≤ μ ≤ ¯ x + 1) = 0 . 9 approximately....
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