(b) Let µ = 0, o² = 9 and n = 25. If P (a1 < S? < a2) = 0.9, find and a2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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Can I have a step-by-step, detailed explanation for the part (b) of the following question?

Thank you very much!

For part a and b assume normal distribution.
(a) Let µ = 0, o?
= 4 and n = 36.
(i) If P ({Ү| < а) — 0.5, find a.
(ii) If P (E (2) <6
= 0.9, find b.
i=1
(b) Let u = 0, o²
If P (a1 < S² < a2) = 0.9, find a1 and a2.
9 and n =
= 25.
(c) If T follows t distribution with 9 degrees of freedom, find to such that,
(i) P (|T| < to) = 0.95
(ii) P (|T| > to) = 0.1
Transcribed Image Text:For part a and b assume normal distribution. (a) Let µ = 0, o? = 4 and n = 36. (i) If P ({Ү| < а) — 0.5, find a. (ii) If P (E (2) <6 = 0.9, find b. i=1 (b) Let u = 0, o² If P (a1 < S² < a2) = 0.9, find a1 and a2. 9 and n = = 25. (c) If T follows t distribution with 9 degrees of freedom, find to such that, (i) P (|T| < to) = 0.95 (ii) P (|T| > to) = 0.1
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