1)Test the claim about the differences between two population variances ?21 and ?22
at the given level of significance ? using the given sample statistics. Assume that the
sample statistics are from independent samples that are randomly selected and each
population has a normal distribution.
Claim: ?21=?22, ?=0.05
Sample statistics: s21=9.2, n1=5, s22=6.7, n2=33
H0: ?21= ?22
Ha: ?21=(not equal to) ?22
1.Find the critical value:
2. F0=
3.Find the rejection region
4. find the test statistic(round two decimal places)
5.Reject or fail to reject?
Test the claim about the differences between two population variances ?21 and ?22
at the given level of significance ? using the given sample statistics. Assume that the
sample statistics are from independent samples that are randomly selected and each
population has a normal distribution.
Claim: ?21=?22, ?=0.01
Sample statistics: s21=857, n1=4, s22=271, n2=3
2) H0: ?21<(or equal to) ?22
Ha: ?21> ?22
1.Find the critical value:
2. F0=
3.Find the rejection region
4. find the test statistic(round two decimal places)
5.Reject or fail to reject?
3) Find the critical F-value for a right-tailed test using the indicated level of significance ? and degrees of
freedom d.f.n and d.f. D
?=0.01, d.f.N=15, d.f.D=18
A. The critical F-Value is? ____(round two decimal places)
4) Find the critical F-value for a right-tailed test using the indicated level of significance ? and degrees of
freedom d.f.n and d.f. D
?=0.05, d.f.N=3, d.f.D=21
A. The critical F-Value is? ____(round two decimal places)
5.) A survey was conducted two years ago asking college students their top motivations for using a credit
card. To determine whether this distribution has changed, you randomly select 425 college students and
ask each one what the top motivation is for using a credit card. Can you conclude that there has been a
change in the claimed or expected distribution? Use .?=0.10. Response
Rewards
Low rates
Cash back
Discounts
Other Old Survey %
28%
23%
21%
7%
21% New Survey Frequency, f
110
97
109
46
63 Complete parts (a) through (e).
a) What is the null hypothesis, H0?
b) What is the alternate hypothesis, Ha?
c) Which hypothesis is the claim?
2 d) Determine the critical value, ? 0, and the rejection region.
e) Calculate the test statistic. (round 3 decimal places as needed) Reject/fail to reject H0. At the 10% level there is/is not enough evidence to conclude that the
distribution of motivations differs from/ same as the claimed or expected distribution.
6) The national distribution of fatal work injuries in a country is shown in the table to the right under
National %. You believe that the distribution of fatal work injuries is different in the western part of the
country and randomly select 6231 fatal work injuries occurring in that region. At ?=0.10
can you conclude that the distribution of fatal work injuries in the west is different from the national
distribution? Complete parts a through d below. Cause
Transportation
Equipment
Assaults
Falls
Harmful fumes
Fires National %
42%
17%
15%
14%
9%
3% Western Frequency
2885
1157
804
755
533
97 Complete parts (a) through (e).
a) What is the null hypothesis, H0?
b) What is the alternate hypothesis, Ha?
c) Which hypothesis is the claim?
2 d) Determine the critical value, ? 0, and the rejection region.
e) Calculate the test statistic. (round 3 decimal places as needed) Reject/fail to reject H0. At the 10% level there is/is not enough evidence to conclude that the
distribution of motivations differs from/ same as the claimed or expected distribution.
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