Question

Fasting concentrations (mmol/L) of glucose in blood were measured in a sample of diabetic patients implanted...

Fasting concentrations (mmol/L) of glucose in blood were measured in a sample of diabetic patients implanted with a new insulin delivery platform.

P#1

P#2

P#3

P#4

P#5

P#6

P#7

P#8

P#9

P#10

5.5

4.8

3.8

4.0

5.2

5.1

4.8

4.4

4.2

6.1

Computer simulations of the platform predicted a fasting glucose level of 4.5 mmol/L.

Use a statistical test to fundament your opinion on whether the data is consistent with the model prediction.

  1. Identify suitable null and alternative hypotheses.
  2. Is a t-test is suitable for this problem. Why?
  3. Calculate critical values for a significance level of 0.01. Is the data is consistent with the computer model? Justify
  4. Calculate p-value. Is the data is consistent with the computer model? Justify.
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