On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.1 and the variance in annual salaries for managers in public accounting firms is approximately 11.1. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses. Hoi o,? + Hg: 0,? = 0,? Hoi o,? > o,? Ho: 0,? = 0,? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We can conclude that the population variances are not equal for seniors and managers. Reject Ho. We cannot conclude that the population variances are not equal for seniors and managers. Do not reject Ho. We cannot conclude that the population variances are not equal for seniors and managers.
On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.1 and the variance in annual salaries for managers in public accounting firms is approximately 11.1. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses. Hoi o,? + Hg: 0,? = 0,? Hoi o,? > o,? Ho: 0,? = 0,? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. We can conclude that the population variances are not equal for seniors and managers. Reject Ho. We cannot conclude that the population variances are not equal for seniors and managers. Do not reject Ho. We cannot conclude that the population variances are not equal for seniors and managers.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.1 and the variance in annual salaries for managers in public
accounting firms is approximately 11.1. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine
whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion?
State the null and alternative hypotheses.
2
02
2
02
%D
Ho: 01
2
> 02
Hai 01
H3:
2
02
2
2
Hoi o,?soz?
2
Ha: 01
2
2
Ho: 01
Ha: 01
02
2
+ 02
2
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho. We can conclude that the population variances are not equal for seniors and managers.
Reject Ho. We cannot conclude that the population variances are not equal for seniors and managers.
Do not reject Ho. We cannot conclude that the population variances are not equal for seniors and managers.
Do not reject Ho. We can conclude that the population variances are not equal for seniors and managers.
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