Exam Page 1
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 19,000 per day in 2010. You
believe that the newspaper’s circulation is different than 19,000 today.
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Ho: u =
19000 H1: u
≠ 19000
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Type I Error: Reject the null hypothesis saying the mean newspaper circulation in a
certain city is 19000 per day when the mean IS 19000 per day.
Type II Error: Accept the null hypothesis saying the mean newspaper circulation in a
certain city is 19000 per day when the mean it IS DIFFERENT than 19000 per day.
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 6000 hits per month a year ago. You believe that the number of
hits per month is less than that today.
Ho: u =
6000 H1: u
< 6000
Type I Error: Reject the null hypothesis saying a certain website had mean number of
6000 hits per month a year ago when the mean number of hit DID have 6000 hits per
month.
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 19,000 per day in 2010. You
believe that the newspaper’s circulation is different than 19,000 today.
a) H0:
μ=19,000.
H1:μ≠19,000.
Type I error: Reject the null hypothesis that the circulation today is 19,000 when the
circulation today actually is 19,000.
Type II error: Do not reject the null hypothesis when the circulation is different than
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19,000.
b) Define the null and alternative hypothesis for the following. Also, explain what it
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would mean to make a Type I error and explain what it would mean to make a Type
II error.
A certain website had 6000 hits per month a year ago. You believe that the number of
hits per month is less than that today.
b) H0:
μ=6000.
H1:μ<6000.
Exam Page 2
Suppose that we have a problem for which the null and alternative hypothesis are given
by:
H0:
μ=1020.
H1:μ<
1020.
Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a
level of significance of .04.