1. Determine the upper- and lower-tail critical values of t in each of the following two-tests assuming that the variances of the two populations are equal.a) a = .10, n1 = 16, n2 = 21b) a = .05, n1 = 20, n2 = 25c) a = .02, n1 = 10, n2 = 12%3Dd) a = .05, n1 = 8,n2 = 9%De) a = .01, n1 = 12, n2 =12%3D

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. Determine the upper- and lower-tail critical values of t in each of the following two- tests assuming that the variances of the two populations are equal. d) a = .05, n1 = 8, n2 = 9e) a = .01, n1 = 12, n2 = 12
A juice factory buys apple concentrate from two different suppliers. The mean concentration is the same for both suppliers, but it is suspected that the variability of the concentration could be different for the two suppliers. The standard deviation of the concentration in a random sample of n1 = 12 lots produced by Supplier 1 is s1 = 6.4 g / L, and for Supplier 2, n2 = s2 = 4.8 g / L in a random sample of 12 lots. Is there sufficient evidence to conclude that the variance of the two populations is different by calculating the appropriate test statistic? (α = 0.05)
Consider the following two independently chosen samples whose population variances are not equal to each other. Sample 1 12.1 13.4 11.7 10.7 14.0 Sample 2 10.5 9.5 8.2 7.8 11.1 a) Using a significance level of 0.025, test the null hypothesis that µ1 - µ2 ≤ 0. b) Calculate the p-value.
Consider the following set of samples obtained from two normally distributed populations whose variances are equal: Sample 1: 11.2 11.2 7.4 8.7 13.5 Sample 2: 11.7 9.5 15.6 16.5 11.3 Suppose that the samples were independent. Perform a test of hypothesis to determine if there is a difference in the two population means. Use a significance level of 0.05. Also Estimate the p-value approximately.
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.34. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.22. At α=0.05, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below.
2. Determine the upper-tail critical values of t in each of the following tests assuming that the variances of the two populations are equal d) a = .05, n1 = 8, n2 = 9 = 1.7530e) a = .01, n1 = 12, n2 = 12 = 2.5080
If X1=2,X2=3,X3=1,X4=4,X5=1,X6=8 be a random sample taken from a population having variance sigma^2 ,then the point of estimate of sigma^2 is equals to?
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.141.14. A dietician is asked to test this claim and finds that a random sample of 2424 servings has a variance of 0.950.95. At alpha equals 0.10α=0.10, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed.

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