You are interested in determining if the average amount of time (in hours)that students spend on the Internet per day is greater than 2 hours.The data below are from a random sample of 11 students. Would the null hypothesis be rejected at the .05 significance level after removing the second observation (value = 100)?
A)Yes,because the P-value is greater than .05.
B)Yes,because the P-value is less than .05.
C)No,because the P-value is greater than .05.
D)No,because the P-value is less than .05.

Question

You are interested in determining if the average amount of time (in hours)that students spend on the Internet per day is greater than 2 hours.The data below are from a random sample of 11 students.  Would the null hypothesis be rejected at the .05 significance level after removing the second observation (value = 100)?
A)Yes,because the P-value is greater than .05. 
B)Yes,because the P-value is less than .05. 
C)No,because the P-value is greater than .05. 
D)No,because the P-value is less than .05.

Quizplus · Accepted Answer

Removing the second observation (value = 100) changes the data significantly as it is an outlier. Based on the remaining data points, the t-test statistic is -0.33 and the corresponding P-value is 0.376, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average amount of time students spend on the Internet per day is greater than 2 hours.

You Are Interested in Determining If the Average Amount of Time