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Independent random samples from approximately normal
Chapter 8, Problem 10E(choose chapter or problem)
Problem 10E
Independent random samples from approximately normal populations produced the results shown below.
a. Do the data provide sufficient evidence to conclude that (µ2 - µ1) > 10? Test using α = .01.
b. Construct a 98% confidence interval for (µ2 - µ1). Interpret your result.
Questions & Answers
QUESTION:
Problem 10E
Independent random samples from approximately normal populations produced the results shown below.
a. Do the data provide sufficient evidence to conclude that (µ2 - µ1) > 10? Test using α = .01.
b. Construct a 98% confidence interval for (µ2 - µ1). Interpret your result.
ANSWER:
Solution:
Step 1 of 3:
The results of independent random sample from approximately normal populations produced are given.
Sample 1 |
Sample 2 |
||||||
52 |
33 |
42 |
44 |
52 |
43 |
47 |
56 |
41 |
50 |
44 |
51 |
62 |
53 |
61 |
50 |
45 |
38 |
37 |
40 |
56 |
52 |
53 |
60 |
44 |
50 |
43 |
50 |
48 |
60 |
55 |
- We have to test the alternative hypothesis that ()>10, by using =0.01.
(b) We have to construct a 98% confidence interval for ().