2. This problem is made up of two independent shorter parts a. To compare the bl

Question

2. This problem is made up of two independent shorter parts a. To compare the blood volumes X and Y of paraplegic and normal men respectively, a sample of n-7 paraplegic men and a sample of m-10 normal men wee taken and their blood volumes measured. The results were x 1612 1352 1456 1222 1560 1456 1924 Y: 1082 1300 1092 1040 910 1248 1092 1040 1092 1288 Choose between the Z and the only t-confidence interval we discussed, explain your choice, and obtain a 98% confidence interval for the mean difference -fly. Present a clear confidence statement and show your computations. The cholesterol level of men ages 25-34 follows the distribution of Y = 80 + X where X has a Gamma distribution with = 2 and = 50 . See Hogg pg 99-101 for the notation, is my 1/. i. What are the mean and variance of the cholesterol level Y? b. ii. Display the density of the cholesterol level Y with its support. 111, Now concentrate on X alone and take as an unknown parameter. Show that W = () X is has a Gamma ( = 2,0,-2) distribution which is a 2 distribution with no unknown parameters! With how many degrees of freedom?

Explanation / Answer

a]
Two-Sample T-Test and CI: x, y

Two-sample T for x vs y

SE
N Mean StDev Mean
x 7 1512 223 84
y 10 1118 124 39

Difference = (x) - (y)
Estimate for difference: 393.3
98% CI for difference: (124.3, 662.3)
T-Test of difference = 0 (vs ): T-Value = 4.23 P-Value = 0.003 DF = 8

b]

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