Suppose \( x \) has a distribution with \( \mu = 12 \) and \( \sigma = 10 \).---**(a)** If a random sample of size \( n = 31 \) is drawn, find \( \mu_{\bar{x}} \), \( \sigma_{\bar{x}} \) and \( P(12 \leq \bar{x} \leq 14) \). (Round \( \sigma_{\bar{x}} \) to two decimal places and the probability to four decimal places.)- \( \mu_{\bar{x}} = \) [Textbox]- \( \sigma_{\bar{x}} = \) [Textbox]- \( P(12 \leq \bar{x} \leq 14) = \) [Textbox]---**(b)** If a random sample of size \( n = 64 \) is drawn, find \( \mu_{\bar{x}} \), \( \sigma_{\bar{x}} \) and \( P(12 \leq \bar{x} \leq 14) \). (Round \( \sigma_{\bar{x}} \) to two decimal places and the probability to four decimal places.)- \( \mu_{\bar{x}} = \) [Textbox]- \( \sigma_{\bar{x}} = \) [Textbox]- \( P(12 \leq \bar{x} \leq 14) = \) [Textbox]

Given data : Mean = 12 Standard deviation = 10

Answered: Suppose x has a distribution with u =…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ndependent random samples are selected from two populations and are used to test the hypothesis Hn: (H, - H2) = 0 against the alternative H,: (4, - H2) #0. An analysis of 232 observations from population 1 and 311 from population 2 yielded p-value of 0.113. Complete parts a and b below. a. Interpret the results of the computer analysis. Use as0.10. A. Since this p-value exceeds the given value of a, there is insufficient evidence to indicate that the population means are different. O B. Since the given a value exceeds this p-value, there is insufficient evidence to indicate that the population means are different. OC. Since the given a value exceeds this p-value, there sufficient evidence to indicate that the population means are different. O D. Since this p-value exceeds the given value of , there is sufficient evidence to indicate that the population means are different. b. If the alternative hypothesis had been Ha: (H1 - H2) <0, how would the p-value change? Interpret the p-value…
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