Instructions • State the Ho and H1 • Find the p-value • Conclusion: (a) Reject H
ID: 3242046 • Letter: I
Question
Instructions
• State the Ho and H1
• Find the p-value
• Conclusion: (a) Reject Ho and accept H1 or (b) cannot reject Ho at the desired level of significance.
• Submit software output to support your answers.
• Assume equal variances for two sample
The manager of a computer software company wishes to study the number of hours senior executives by type of industry spend at their desktop computers. The manager selected a sample of five executives from each of three industries. At the .05 significance level, can she conclude there is a difference in the mean number of hours spent per week by industry?
Banking Retail Insurance
12 8 10
10 8 8
10 6 6
12 8 8
10 10 10
Explanation / Answer
The statistical software output for this problem is:
Analysis of Variance results:
Data stored in separate columns.
Column statistics
ANOVA table
Hence,
Null and alternative hypotheses:
Ho: There is no difference in the mean number of hours spent per week by industry.
H1: There is a difference in the mean number of hours spent per week by industry.
Test statistic = 5.73
P - Value = 0.0179
Given level of significance = 0.05
Since P - Value < 0.05, we reject Ho. Therefore,
We have sufficient evidence to conclude that there is a difference in the mean number of hours spent per week by industry.
Column n Mean Std. Dev. Std. Error Banking 5 10.8 1.0954451 0.48989795 Retail 5 8 1.4142136 0.63245553 Insurance 5 8.4 1.6733201 0.74833148