Question

It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test the hypothesis that students who study one week before score greater than students who study the night before. A hypothesis test for two independent samples is run based on your data and a p-value is calculated to be 0.0053. What is the appropriate conclusion?

Question 15 options:

	1) The average score of students who study one week before a test is significantly greater than the average score of students who wait to study until the night before a test.
	2) The average score of students who study one week before a test is significantly different from the average score of students who wait to study until the night before a test.
	3) The average score of students who study one week before a test is less than or equal to the average score of students who wait to study until the night before a test.
	4) The average score of students who study one week before a test is significantly less than the average score of students who wait to study until the night before a test.
	5) We did not find enough evidence to say the average score of students who study one week before a test is greater than the average score of students who wait to study until the night before a test.

Answer 1

Solution:

Given: We have to test the hypothesis that students who study one week before score greater than students who study the night before.

Thus hypothesis of the study are:

$H_{0}:\mu_{1}=\mu_{2}$

Vs

$H_{1}:\mu_{1}>\mu_{2}$

$\mu_{1} =$ Population  average score of students who study one week before a test

$\mu_{2} =$ Population  average score of students who study the night before.

Corresponding  p-value = 0.0053.

Assume level of significance = 0.05

Since p-value= 0.0053 < 0.05  level of significance,we reject null hypothesis H0.

Thus there is sufficient evidence to conclude that:  The average score of students who study one week before a test is significantly greater than the average score of students who wait to study until the night before a test.

Thus correct option is:

1) The average score of students who study one week before a test is significantly greater than the average score of students who wait to study until the night before a test