2 Even or odd? (Let X~Hypergeometric (4, 3, 4). The random experiment defining X can be described as follows:from a bag with 4 blue marbles and 3 red marbles, we draw 4 marbles without replacement, andcount the number of blue marbles drawn.Give the PMF of X. Some possibly-useful numbers: (3) = 35, (?) = 35, (?) = 70.DPx (0)Px(1)Px (2)Px (3)012301019 | 2010 | 2009 |Give the conditional PMFs of (X | X is even) and (X | X is odd).n (0) PxX is even (2) Px|x is even (4)Px|x is evenPx(4)Compute E[X | X is even] and E[X | X is odd].Pxx is odd (1) Px|X is o¹¹(3)

From the given information, X follows hypergeometric distribution. Here, 4 marbles are to be drawn…

Answered: Let X ~ Hypergeometric (4, 3, 4). The…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

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Suppose X ~N(40,2.8). What is the z score of x =35.8
An alloy manufacturer is investigating if they can improve the strength of one of their alloysby producing it at a lower temperature. To investigate that, they produce the alloy at twodifferent temperatures (high and low) and then measure the breaking strength of randomsamples of specimens from each. The following table represents the strength of the randomsamples at the higher and lower temperature, in units of 0.001-inch deflection. Temp. Strength (0.001 inch)High 87 64 66 85 76 49 97 73 75 77 69 68 89 27 58 84Low 88 82 81 85 79 80 88 78 77 85 79 76 Do the results support the hypothesis that lowering the production temperature can improve thestrength of the alloy, with 95% confidence? (Hint: Don’t forget investigating variances. Use 98% confidence for that.)
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2. (20) Are Men and Women Equal Talkers? A headline in USA Today proclaimed that “Men, women are equal talker.” The headline referred to a study of the numbers of words that samples of men and women spoke in a day. Data given below are the results from the study. Assume that thedata are from two independent normal populations. Number of Words Spoken in a DayMen Womenn1 = 121 n2 = 101x1 = 18000 x2 = 17000s1 = 2000 s2 = 2500 Use a 10% level of significance, do a hypothesis test to determine whether or not the population variances are the same. (Hint: This is a two detailed F test. You need the conclusion here to make a choice between a pooled or a non-pooled t test for part (b).) (10) Based on your conclusion in part (a), use a 1% level of significance to test the claim that men and women speak the same mean number of words in a day by using critical value approach, which means you need to do a two detailed t test to test whether or not men and women…
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