Question

2. [12 marks] A company wants to determine if the median shelf life for their product is different from the median shelf life of their main competitor’s product. Their main competitor’s product has a median shelf life of 10 days. Since the product is very expensive, the company only wants to devote a small number of units to the associated test. They test 7 units of product and find the following results.

Unit	1	2	3	4	5	6	7
Shelf Life (days)	8	9	8	11	13	12	14

a) What type of hypothesis test should you conduct in this case? [1 mark]

b) Conduct your chosen hypothesis test using the p-value method. Show all 5 steps. When you calculate your test statistic: show the equation you use, how you plug in, and your final answer. When you calculate your p-value: show how you calculate each individual probability, and round each individual probability to 4 decimal places. [11 marks]

Answer 1

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