Author Question: An educator wanted to look at the study habits of university students. As part of the research, data ... (Read 50 times)

Mr.Thesaxman · **on:** Jun 24, 2018

An educator wanted to look at the study habits of university students. As part of the research, data was collected for three variables - the amount of time (in hours per week) spent studying, the amount of time (in hours per week) spent playing video games and the GPA - for a sample of 20 male university students. As part of the research, a 95 confidence interval for the average GPA of all male university students was calculated to be: (2.95, 3.10). What assumption is necessary for the confidence interval analysis to work properly?

A) The sampling distribution of the sample mean needs to be approximately normally distributed.
B) The population that we are sampling from needs to be approximately normally distributed.
C) The Central Limit theorem guarantees that no assumptions about the population are necessary.
D) The population that we are sampling from needs to be a t-distribution with n-1 degrees of freedom.

Question 2

An educator wanted to look at the study habits of university students. As part of the research, data was collected for three variables - the amount of time (in hours per week) spent studying, the amount of time (in hours per week) spent playing video games and the GPA - for a sample of 20 male university students. As part of the research, a 95 confidence interval for the average GPA of all male university students was calculated to be: (2.95, 3.10). The researcher claimed that the average GPA of all male students exceeded 2.94. Using the confidence interval supplied above, how do you respond to this claim?

A) We are 95 confident that the researcher is incorrect.
B) We are 95 confident that the researcher is correct.
C) We cannot make any statement regarding the average GPA of male university students at the 95 confidence level.
D) We are 100 confident that the researcher is incorrect.