The manager of computer operations of a large company wishes to study computer usage of two departments within the company: The Accounting Department, and the Research Department. A random sample of 5 jobs from the Accounting Department and 6 jobs from the Research Department in the last month were selected, and the processing time (in seconds) for each job was recorded. Is there evidence of a difference in the mean processing time between the Accounting Department and the Research Department? t-Test: Two-Sample Assuming Equal Variances Accounting Research Mean 7.8 8.5 Variance 10.7 9.9 Observations 5 6 Pooled Variance 10.25556 Hypothesized Mean Difference 0 df 9 t Stat -0.36098 P(T<=t) one-tail 0.363221 t Critical one-tail 1.833113 P(T<=t) two-tail 0.726443 t Critical two-tail 2.262157 a. Define Null and alternative hypotheses b. Using a 95% confidence level test the hypothesis, and describe your findings within the context of this problem

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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The manager of computer operations of a large company wishes to study computer usage of two departments within the company: The Accounting Department, and the Research Department. A random sample of 5 jobs from the Accounting Department and 6 jobs from the Research Department in the last month were selected, and the processing time (in seconds) for each job was recorded. Is there evidence of a difference in the mean processing time between the Accounting Department and the Research Department?

t-Test: Two-Sample Assuming Equal Variances Accounting Research Mean 7.8 8.5 Variance 10.7 9.9 Observations 5 6 Pooled Variance 10.25556 Hypothesized Mean Difference 0 df 9 t Stat -0.36098 P(T<=t) one-tail 0.363221 t Critical one-tail 1.833113 P(T<=t) two-tail 0.726443 t Critical two-tail 2.262157

a. Define Null and alternative hypotheses

b. Using a 95% confidence level test the hypothesis, and describe your findings within the context of this problem 

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