A local retail business wishes to determine if there is a difference in preferred indoor temperature between men and women. A random sample of data is collected, with the following results (note: there are slight differences between Excel and MegaStat output in this test): What is the decision at the 5% level of significance?
A) Since the calculated t-value is less than the critical t-value, fail to reject the null hypothesis and conclude that there is no significant difference in the preferred room temperatures between the sexes.
B) Since the calculated t-value is less than the critical t-value, we reject the null hypothesis and conclude that there is a significant difference in the preferred room temperatures between the sexes.
C) Since the calculated t-value is more than the critical t-value, we reject the null hypothesis and conclude that there is a significant difference in the preferred room temperatures between the sexes.
D) Since the calculated t-value is more than the critical t-value, we fail to reject the null hypothesis and conclude that there is a significant difference in the preferred room temperatures between the sexes.
E) There is insufficient information to make a decision.

Question

A local retail business wishes to determine if there is a difference in preferred indoor temperature between men and women. A random sample of data is collected, with the following results (note: there are slight differences between Excel and MegaStat output in this test):  What is the decision at the 5% level of significance?
A) Since the calculated t-value is less than the critical t-value, fail to reject the null hypothesis and conclude that there is no significant difference in the preferred room temperatures between the sexes. 
B) Since the calculated t-value is less than the critical t-value, we reject the null hypothesis and conclude that there is a significant difference in the preferred room temperatures between the sexes. 
C) Since the calculated t-value is more than the critical t-value, we reject the null hypothesis and conclude that there is a significant difference in the preferred room temperatures between the sexes. 
D) Since the calculated t-value is more than the critical t-value, we fail to reject the null hypothesis and conclude that there is a significant difference in the preferred room temperatures between the sexes. 
E) There is insufficient information to make a decision.

Quizplus · Accepted Answer

The calculated t-value is -1.734 and the critical t-value is -2.306. Since the calculated t-value is not less than the critical t-value at the 5% level of significance, we fail to reject the null hypothesis and conclude that there is no significant difference in the preferred room temperatures between the sexes. Therefore, the correct answer is A.

A Local Retail Business Wishes to Determine If There Is