Question 1
pts
You may find the following files helpful throughout the exam:
Statistics_Equation_Sheet
(Links to an external site.)
Standard Normal Table
(Links to an external site.)
Answer the following questions:
a) Define the null and alternative hypothesis for the following.
Also, explain what it would mean to make a Type I error and
explain what it would mean to make a Type II error.
The newspaper in a certain city had a circulation of 18,000 per
day in 2010. You believe that the newspaper’s circulation is
different than 18,000 today.
b) Define the null and alternative hypothesis for the following.
Also, explain what it would mean to make a Type I error and
explain what it would mean to make a Type II error.
A certain website had 5000 hits per month a year ago. You
believe that the number of hits per month is more than that today.
Your Answer:
Null Hypothesis is: H0:
μ
= 18,000 is the circulation for the newspaper per day in 2010
Alternative Hypothesis is: H1
≠
μ
= 18,000 is the circulation for the newspaper per day in 2010
Type I error: reject the null hypothesis that the mean of the
circulation of the newspaper is 18,000 per day in 2010 when the
mean number of newspaper is 18,000 per day in 2010.
, Type II error: Do not reject the null hypothesis that the mean of
the circulation of the newspaper is 18,000 per day in 2010 when
the mean is different from the 18,000 per day in 2010.
b)
Null Hypothesis is: H0:
μ
= 5000
Alternative Hypothesis is: H1 >
μ
= 5000
Type I error: Reject the null hypothesis that the mean had
5000 hits per month a year ago when the mean hits per month
a year ago was not greater than 5000.
Type II error: Do not reject the null hypothesis that the mean hit
per month a year ago was 5000 when the mean house price is
greater than 5000.
a) H0: μ=18,000.
H1:μ≠18,000.
Type I error: Reject the null hypothesis that the circulation
today is 18,000 when the circulation today actually is 18,000.
Type II error: Do not reject the null hypothesis when the
circulation is different than 18,000.
b) H0: μ=5000.
H1:μ>5000.
Type I error: Reject the null hypothesis that the website gets
5000 hits per month when the website gets no more than
5000 hits per month.
pts
You may find the following files helpful throughout the exam:
Statistics_Equation_Sheet
(Links to an external site.)
Standard Normal Table
(Links to an external site.)
Answer the following questions:
a) Define the null and alternative hypothesis for the following.
Also, explain what it would mean to make a Type I error and
explain what it would mean to make a Type II error.
The newspaper in a certain city had a circulation of 18,000 per
day in 2010. You believe that the newspaper’s circulation is
different than 18,000 today.
b) Define the null and alternative hypothesis for the following.
Also, explain what it would mean to make a Type I error and
explain what it would mean to make a Type II error.
A certain website had 5000 hits per month a year ago. You
believe that the number of hits per month is more than that today.
Your Answer:
Null Hypothesis is: H0:
μ
= 18,000 is the circulation for the newspaper per day in 2010
Alternative Hypothesis is: H1
≠
μ
= 18,000 is the circulation for the newspaper per day in 2010
Type I error: reject the null hypothesis that the mean of the
circulation of the newspaper is 18,000 per day in 2010 when the
mean number of newspaper is 18,000 per day in 2010.
, Type II error: Do not reject the null hypothesis that the mean of
the circulation of the newspaper is 18,000 per day in 2010 when
the mean is different from the 18,000 per day in 2010.
b)
Null Hypothesis is: H0:
μ
= 5000
Alternative Hypothesis is: H1 >
μ
= 5000
Type I error: Reject the null hypothesis that the mean had
5000 hits per month a year ago when the mean hits per month
a year ago was not greater than 5000.
Type II error: Do not reject the null hypothesis that the mean hit
per month a year ago was 5000 when the mean house price is
greater than 5000.
a) H0: μ=18,000.
H1:μ≠18,000.
Type I error: Reject the null hypothesis that the circulation
today is 18,000 when the circulation today actually is 18,000.
Type II error: Do not reject the null hypothesis when the
circulation is different than 18,000.
b) H0: μ=5000.
H1:μ>5000.
Type I error: Reject the null hypothesis that the website gets
5000 hits per month when the website gets no more than
5000 hits per month.
