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Fasting Blood Glucose Levels. A 1955-1960 study of 218 women examined blood gluc

ID: 3234778 • Letter: F

Question

Fasting Blood Glucose Levels.

A 1955-1960 study of 218 women examined blood glucose levels and glucose tolerance during pregnancy or while not pregnant. The study found that in the non-pregnant state, women had a mean fasting blood glucose level of 80 mg/100 ml with a population standard deviation of 8 mg/100 ml. The attached workbook has the results of fasting blood glucose measurements in a group of nonpregnant women.Reference: American J. Clin. Nutr. Vol. 19, p 345-351

1. In the Excel workbook calculate a test-statistic and P-value using the appropriate hypothesis test for this data.

2. What test did you use? Why?

3. What was your null hypothesis?

4. What was your alternative hypothesis?

5. Is there evidence to suggest that there is a difference between the large study and the sample? Justify your answer.

Fasting Blood Glucose Levels in One Female Patient

The results of fasting blood glucose measurements in a single patient are given in the workbook for this assignment. Remember that the population mean is 80 mg/ 100 ml, but we do not know the amount of variation in blood sugar measurements for this patient.

1. In the Excel workbook calculate a test-statistic and P-value using the appropriate hypothesis test for this data.

2. What test did you use? Why?

3. What was your null hypothesis?

4. What was your alternative hypothesis?

5. Is there evidence to suggest that there is a difference between this woman's fasting blood sugar levels and the population mean of 80 mg/100 ml? Justify your answer.

Petal Lengths in Irises

The results of a study of the length of petals in two different species of iris (Iris virginica and Iris setosa) are presented in the workbook for this assignment.

1. In the Excel workbook calculate a test-statistic and P-value using the appropriate hypothesis test for this data.

2. What test did you use? Why?

3. What was your null hypothesis?

4. What was your alternative hypothesis?

5. Is there evidence to suggest that there is a difference between the petal lengths in these two species of irises? Justify your answer.

Pneumonia and Influenza in Missouri Counties 1915-1917 Baseline Compared to 1918

Your instructor will assign a sample data set to you. These are comparisons in numbers of annual pneumonia and influenza deaths in the periods 1915-1917 and 1918.

1. In the Excel workbook calculate a test-statistic and P-value using the appropriate hypothesis test for this data.

2. What test did you use? Why?

3. What was your null hypothesis?

4. What was your alternative hypothesis?

5. Is there evidence to suggest that there is a significant difference in pneumonia and influenza deaths in 1918 compared to 1915-1917? Justify your answers.

FASTING GLUCOSE (mg/100 ml) 45 66 83 71 76 64 59 59 76 82 80 81 85 77 82 90 87 72 79 69 83 71 87 69 81 76 96 83 67 94 101 94 89 94 73 99 93 85 83 80 78 80 85 83 84 74 81 70 65 89 70 80 84 77 65 46 80 70 75 45 101 71 109 73 73 80 72 81 63 74

Explanation / Answer

(1) Ho: = 80 versus Ha: 80

(2) Since the population standard deviation is known, we use a z- test

(3) SE = s/n = 8/70 = 0.956182887

z = (x-bar - )/SE = (78 - 80)/0.956182887467515 = -2.091650066

p- value = 0.03646983

(4) Decision (in terms of the hypotheses):   

Since 2.091650066 > 1.959963985 we reject Ho and accept Ha

Conclusion (in terms of the problem):

There is sufficient evidence that 80