Question

A food researcher claims that there is a difference in the number of calories contained in sandwiches purchased from Deli A and Deli B. The researcher purchased 10 sandwiches from Deli A, and 10 from Deli B, and recorded the number of calories for each sandwich as follows:

Deli A	420	630	790	590	610	480	570	740	620	420
Deli B	680	750	430	760	650	710	430	400	860	690

a) What is the test statistic? A. -1.058 B. 1.058 C. Either A or B

b) Is the hypothesis test used to compare the calories in sandwiches from Deli A to that from Deli B

   A. left-tailed B. right-tailed C. two-tailed

c) The probability value for the event in which the test statistic is as high as (or as low as) the value calculated in part a is:

   A. 0.029 B. 0.145 C. 0.290

d) Comparing the probability value (calculated in part a) with a level of significance of 0.05, it can be stated that:

   A. There is enough evidence to reject the researcher's claim

   B. There is not enough evidence to reject the researcher's claim

   C. There is enough evidence to support the researcher's claim

Answer 1

Let denote the mean number of calories contained in sandwiches purchased from Deli A and Deli B.

c) 0.4523

d) B. There is not enough evidence to reject the researcher's claim