Independent random samples from approximately normal

Chapter 8, Problem 10E

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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.

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

  1. We have to test the alternative hypothesis that ()>10, by using =0.01.

      (b) We have to construct a 98% confidence interval for ().

 


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