1) Find the followingFdistribution values fromtheFdistribution table. (Round your answers to two decimal places.)

(a) F_0.05

with degrees of freedom4and10

(b) F_0.025

with degrees of freedom30and25

(c) F_0.01

with degrees of freedom9and13

(d) F_0.10

with degrees of freedom10and20

2)You may need to use the appropriatetechnologyto answer this question.

Consider the following hypothesis test.

H₀:₁²=₂²

H_a:₁²₂²

(a)

What is your conclusion ifn₁= 21,

s₁²=2.2,

n₂= 26,

ands₂²=1.0?

Use= 0.05

and thep-valueapproach.

Find the value of the test statistic.

Find thep-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

RejectH₀. We cannot conclude that₁²₂².

Do not rejectH₀. We cannot conclude that₁²₂².

RejectH₀. We can conclude that₁²₂².

Do not rejectH₀. We can conclude that₁²₂².

(b)

Repeat the test using the critical value approach.

Find the value of the test statistic.

State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.)

test statistictest statistic

State your conclusion.

RejectH₀. We cannot conclude that₁²₂².

Do not rejectH₀. We cannot conclude that₁²₂².

RejectH₀. We can conclude that₁²₂².

Do not rejectH₀. We can conclude t

3)You may need to use the appropriatetechnologyto answer this question.

Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had121 peopleon the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from Company A wass₁= $584million.

The standard deviation of the amount managed by advisers from Company B wass₂= $482million.

Conduct a hypothesis test at= 0.10

to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms?

State the null and alternative hypotheses.

H₀:₁²₂²

H_a:₁²=₂²

H₀:₁²>₂²

H_a:₁²₂²

H₀:₁²₂²

H_a:₁²>₂²

H₀:₁²=₂²

H_a:₁²₂²

Find the value of the test statistic. (Round your answer to two decimal places.)

Find thep-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Do not rejectH₀. We cannot conclude there is a statistically significant difference between the variances for the two companies.

RejectH₀. We cannot conclude there is a statistically significant difference between the variances for the two companies.

Do not rejectH₀. We can conclude there is a statistically significant difference between the variances for the two companies.

RejectH₀. We can conclude there is a statistically significant difference between the variances for the two companies.

5) You may need to use the appropriateappendix tableortechnologyto answer this question.

A sample of23items provides a sample standard deviation of5.

(a) Compute the 90% confidence interval estimate of the population variance. (Round your answers to two decimal places.)

to

(b) Compute the 95% confidence interval estimate of the population variance. (Round your answers to two decimal places.)

to

(c) Compute the 95% confidence interval estimate of the population standard deviation. (Round your answers to one decimal place.)

to

1. DETAILS E Find the following Fdistribution values from the F distribution table. (Round your answers to two decimal places.) (a) F 005 with degrees of freedom 4 and 10 H (b) F0025 with degrees of freedom 30 and 25 H (C) F0.01 with degrees of freedom 9 and 13 H (d) F 0.10 with degrees of freedom 10 and 20 U 2. DETAILS PREVIOUS ANSWERS MY NOTES ASK YO You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: 1 2 =02 Ha : 01 2+ 02 (a) What is your conclusion if n, = 21, s, 2 = 2.2, n2 = 26, and S2 = 1.0? Use a = 0.05 and the p-value approach. Find the value of the test statistic. 2.2 Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We cannot conclude that o, 2 # 62 2. Do not reject Ho. We cannot conclude that of 2 * o, O Reject Ho. We can conclude that of 2 # 622. O Do not reject Ho. We can conclude that of # 02 (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused test statistic s test statistic 2 State your conclusion. O Reject H . We cannot conclude that of 2+ 02PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 3. DETAILS You may need to use the appropriate technology to answer this question. Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from Company A was s, = $584 million. The standard deviation of the amount managed by advisers from Company B was s, = $482 million. Conduct a hypothesis test at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms? State the null and alternative hypotheses. H: 0 1 2# 02 Ha: 1 2= 02 Ho: 01, 12702, -2 4 H2: 1 2 Ho: 1 2502 H: 1 27 02 2 O Ho: 01 2 = 02. H: 1 2# 02 Find the value of the test statistic. (Round your answer to two decimal places.) 1.21 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.1137 X State your conclusion. O Do not reject Ho. We cannot conclude there is a statistically significant difference between the variances for the two companies. O Reject Ho. We cannot conclude there is a statistically significant difference between the variances for the two companies. O Do not reject Ho. We can conclude there is a statistically significant difference between the variances for the two companies. O Reject Ho. We can conclude there is a statistically significant difference between the variances for the two companies.5. DETAILS | MY NOTE You may need to use the appropriate appendix table or technology to answer this question. A sample of 23 items provides a sample standard deviation of 5. (a) Compute the 90% confidence interval estimate of the population variance. (Round your answers to two decimal places.) to: (b) Compute the 95% confidence interval estimate of the population variance. (Round your answers to two decimal places.) to: (c) Compute the 95% confidence interval estimate of the population standard deviation. (Round your answers to one decimal place.) to: H H H Need Help? _@