Question

A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50°F to boiling (at sea level). Two competing models are under consideration. Forty stoves of each model were tested, and the following results were obtained. Model 1: mean time 1 x = 11.2 min; standard deviation s1 = 2.4 min. Model 2: mean time 2 x = 10.1 min; standard deviation s2 = 3.2 minutes. Is there any difference between the performances of these two models? Use a 5% level of significance. Answer these questions:  

a) State H0 and H1
b) What sampling distribution will you use? Standard normal or student t’s and why?
c) What is the sample test statistic?
d) What is the p-value?
e) Sketch the sampling distribution and show the p-value.
f) Do you reject or fail to reject the null hypothesis? State the conclusion in the context of the application.

Answer 1