The XYZ Corporation is interested in possible differences in days worked by salaried employees in three departments in the financial area. A survey of 23 randomly chosen employees reveals the data shown below. Because of the casual sampling methodology in this survey, the sample sizes are unequal.Research question: Are the mean annual attendance rates the same for employees in these three departments?
| Days Worked Last Year by 23 Employees |
Department
|
Days Worked
|
| Budgets (5 workers) | 255 | 258 | 265 | 242 | 258 | | | | | |
| Payables (10 workers) | 207 | 271 | 219 | 242 | 255 | 213 | 267 | 240 | 241 | 226 |
| Pricing (8 workers) | 242 | 255 | 233 | 257 | 235 | 241 | 245 | 248 | | |
|
Click here for the Excel Data File
Fill in the missing data.(Round yourp-value to 4 decimal places, mean values to 1 decimal place, and other answers to 4 decimal places.)
| Group | Mean |
n
| Std. Dev | Variances |
| Budgets | | | | |
| Payables | | | | |
| Pricing | | | | |
| Total | | | | |
|
| One-Factor ANOVA |
| Source |
SS
|
df
|
MS
|
F
|
p-value |
| Treatment | | | | | |
| Error | | | | | |
| Total | | | | | |
|
Based on the given hypotheses, choose the correct option
H0:μ
1 =μ2 =μ
3
H
1: Not all the means are equal
α = .05
multiple choice 1
Reject the null hypothesis ifp-value <>
Reject the null hypothesis ifp-value > 0.05
On the basis of the above findings, we cannot reject the null hypothesis.
multiple choice 2
Based on the given hypotheses, choose the correct option.
H
0:σ2
1 =σ
2
2 =σ
2
3
H
1: Not all the variances are equal
α = .05
multiple choice 3
Reject the null hypothesis ifH > 8.38
Reject the null hypothesis ifH <>
Calculate the value ofH
calc.(Round your answer to 2 decimal places.)
H
calc
On the basis of the above-determinedH
calc, we fail to reject the null hypotheses.
multiple choice 4