t assuming cqual variances, test the difference of the population means of the two countrie = l2 V.s. H1 : P1 + p2. Use the significance level oa = the power of the test in (i) if µ1 – 12 = -0.2. e equality of the population variances H, : of = až v.s. H : of + až. Describe how he p-value. 0.05. ut the test in (i) assuming cqual variances. Describe how to obtain the p-value.

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...
Question

4

4.
Sample weights (i pounds) of newborn babics born in two countrics in Europe yiclded
the following data summary (sample mean, sample variance and sample size respectively): X = 6.8, s =
5.2, n1 = 60 and Y = 7.2, s = 5.0, n2 = 50
%3D
(i) Without assuming equal variances, test the difference of the population mcans of the two countries:
Ho : 41 = 12 V.s. H1 : 1 + p2. Use the significance level a =
(ii) What is the power of the test in (i) if 41 – 12 = -0.2.
0.05.
(ii) Test the equality of the population variances Ho of = a v.s. H : of + a3. Describe how to
obtain the p-valuc.
(iv) Carry out the test in (i) assuming cqual variances. Describe how to obtain the p-valuc.
Transcribed Image Text:4. Sample weights (i pounds) of newborn babics born in two countrics in Europe yiclded the following data summary (sample mean, sample variance and sample size respectively): X = 6.8, s = 5.2, n1 = 60 and Y = 7.2, s = 5.0, n2 = 50 %3D (i) Without assuming equal variances, test the difference of the population mcans of the two countries: Ho : 41 = 12 V.s. H1 : 1 + p2. Use the significance level a = (ii) What is the power of the test in (i) if 41 – 12 = -0.2. 0.05. (ii) Test the equality of the population variances Ho of = a v.s. H : of + a3. Describe how to obtain the p-valuc. (iv) Carry out the test in (i) assuming cqual variances. Describe how to obtain the p-valuc.
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