A Professor Would Like to Test the Hypothesis That the Average

question 24

Multiple Choice

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes. A random sample of 15 students was selected and the sample standard deviation for the time needed to complete the exam was found to be 4.0 minutes. Using α = 0.05, the conclusion for this hypothesis test would be that because the test statistic is

• A)more than the critical value, we fail to reject the null hypothesis and conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.
• B)less than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.
• C)less than the critical value, we reject the null hypothesis and cannot conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.
• D)more than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the time to complete an exam is less than 5.0 minutes.

---

Definitions:

Villi

Small, finger-like projections that extend into the lumen of the small intestine, increasing its surface area for nutrient absorption.

Small Intestine

A part of the gastrointestinal tract following the stomach and duodenum, where most of the end absorption of nutrients and minerals from food takes place.

Digestive System

The complex system of organs and glands responsible for the breakdown and absorption of food, extracting nutrients and eliminating waste.

Gallbladder

A small organ situated beneath the liver, responsible for storing and concentrating bile.