Instructions • State the Ho and H1 • Find the p-value • Conclusion: (a) Reject H
ID: 3256764 • 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
Chapin Manufacturing Company operates 24 hours a day, 5 days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the .05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?
Units Produced
Employee Day Afternoon Night
Skaff 31 25 35
Lum 33 26 33
Clark 28 24 30
Treece 30 29 28
Morgan 28 26 27
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 number of units produced when the employees work on various shifts.
H1: There is a difference in the number of units produced when the employees work on various shifts.
Test statistic = 4.86
P - Value = 0.0284
Given significance level = 0.05
Since P - value < 0.05, we reject Ho. Hence,
There is sufficient evidence to conclude that there is a difference in the number of units produced when the employees work on various shifts.
Column n Mean Std. Dev. Std. Error Day 5 30 2.1213203 0.9486833 Afternoon 5 26 1.8708287 0.83666003 Night 5 30.6 3.3615473 1.5033296