a) What size sample is needed if we desire a power of 0.95?

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Please only solve this question below. I have been able to solve the questions on the screenshot myself.

 

a) What size sample is needed if we desire a power of 0.95?

 

Kindly use the formular attached and explain the procedure for finding z-alpa and z-beta. Thank you very much.

In a large set of measurements on nonpregnant women, the average fasting
blood glucose level was about 80 milligrams/100 milliliters of blood. Research-
ers determined fasting blood sugar levels for 52 women during their third
trimester of pregnancy (contributed by C. M. Mahan to a collection of prob-
lems in Andrews and Herzberg, 1985, pages 211-214; from O'Sullivan and
Mahan, 1966). The results (in mg/100 ml) are shown here (sample size = 52,
mean = 70.12, sample standard deviation = 9.68).
60
66
56 80 55
68
78
74
74
48
66
65
52
83
74 76
90
60
73 72
62
103
67
74
74 64
66
78
64
60 63
77
75 707 66
68 75 78 7
73
67
77
69
91
64
70
60 66 71 73
70 75 6 78
63
a. Plot these measurements.
b. How do these blood sugar levels for pregnant women compare with the
average level of 80 mg/100 ml for nonpregnant women? State and test ap-
propriate hypotheses.
c. Calculate an interval estimate for the mean fasting blood sugar level of
women in their third trimester of pregnancy.
Transcribed Image Text:In a large set of measurements on nonpregnant women, the average fasting blood glucose level was about 80 milligrams/100 milliliters of blood. Research- ers determined fasting blood sugar levels for 52 women during their third trimester of pregnancy (contributed by C. M. Mahan to a collection of prob- lems in Andrews and Herzberg, 1985, pages 211-214; from O'Sullivan and Mahan, 1966). The results (in mg/100 ml) are shown here (sample size = 52, mean = 70.12, sample standard deviation = 9.68). 60 66 56 80 55 68 78 74 74 48 66 65 52 83 74 76 90 60 73 72 62 103 67 74 74 64 66 78 64 60 63 77 75 707 66 68 75 78 7 73 67 77 69 91 64 70 60 66 71 73 70 75 6 78 63 a. Plot these measurements. b. How do these blood sugar levels for pregnant women compare with the average level of 80 mg/100 ml for nonpregnant women? State and test ap- propriate hypotheses. c. Calculate an interval estimate for the mean fasting blood sugar level of women in their third trimester of pregnancy.
Then n
n =
s² (Za+Zp)
8²
Transcribed Image Text:Then n n = s² (Za+Zp) 8²
Expert Solution
Step 1

Given the data of fasting blood sugar levels for 52 women during their third trimester of pregnancy.

mean=70.12 and sample standard deviation=9.68

 

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