Question

For a population, the value of the standard deviation is 2.77. A random sample of 35...

For a population, the value of the standard deviation is 2.77. A random sample of 35 observations taken from this population produced the following data.

42

52

42

31

28

36

50

29

46

37

32

27

33

41

47

40

28

46

34

39

48

25

35

37

38

46

48

39

29

31

44

41

37

38

46

Round your answers to 2 decimal places.

a. What is the point estimate of μ?

_____

b. Make a 98% confidence interval for μ.

_____to____

c. What is the margin of error of estimate for part b?

______

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Answer #1

The statistical software output for this problem is :

One sample Z confidence interval: u: Mean of variable Standard deviation = 2.77 98% confidence interval results: Variable n S


(a)

Point estimate = 38.34

(b)

The 98% CI is : 37.25 to 39.43

(c)

Margin of error = 1.09

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