1.Past studies showed that maternal diabetes results in obesity, blood pressure, and glucose tolerance complications in offspring. The file A4_BloodPressure_Diabete_Q6.xlsx contains the arterial blood pressures, in millimetres of mercury (mm Hg), for a random sample of 16 children of diabetic mothers, the same data that was presented in Question 6. of Part A. The sample mean is = 85.99 mm Hg and the sample standard deviation is s = 8.08 mm Hg.

(a) Use the proper graphical tools in R and R commander to assess whether it is reasonable to apply the one-sample t-interval and one-sample t-test procedures. Give the relevant R output. Make sure to write down the assumptions of the procedure and address whether the assumptions are satisfied. (5 marks)

Assumptions:

1.Simple random sample- true, info is given

2.The sample size n = 16

3. is unknown- s= 8.08 mm Hg

The normal probability plot indicates that the arterial blood pressures are normal since the points fall roughly on a straight line.

(b) Question 6 (a) in Part A asks you to test at the 1% significance level whether the mean arterial blood pressure of all children of diabetic mothers is above 85 mm Hg. Obtain and give the appropriate R output that verifies your answer in Part A. (2 marks)

(c) Test at the 2% significance level whether the mean arterial blood pressure of all children of diabetic mothers is different from 85 mm Hg. Include all the six components of a hypothesis test in your solution. Include the relevant R output. (6 marks)

(d) Obtain a 98% two-sided confidence interval for the mean arterial blood pressure of all children of diabetic mothers. Give the relevant R output. (2 marks)

(e) Does the interval in part (d) support the result in part (c)? That is, does the interval in part (d) also give evidence that the mean blood pressure of all children with diabetic mothers is different from 85 mm Hg? Explain your answer. (3 marks)

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