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The waiting time for Restaurant DD to deliver your food when ordering online is normally distributed....

The waiting time for Restaurant DD to deliver your food when ordering online is normally distributed. A random sample of 6 days in the last month indicated the following waiting times (in minutes) 41 33 42 38 37 35

(a) [1 mark] Determine the sample mean and standard deviation. You may use your calculator, so no justification is needed.

(b) [1 mark] What critical value would you use to construct a 95% confidence interval? Explain your choice.

(c) [2 marks] Construct a 95% confidence interval on the waiting time for the food delivery from Restaurant DD.

(d) [2 marks] Using your answer from (c), is it likely that the true mean waiting time is 33 minutes? Why or why not?

(e) [2 marks] Is it possible that the true mean waiting time is 33 minutes? If the true mean waiting time was 33 minutes, then what would you say about this sample?

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