A new operator was recently assigned to a crew of workers who perform a certain
ID: 3154374 • Letter: A
Question
A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of work done by the three workers?
(a) Find the test statistic. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer bounds exactly.)
< p <
Explanation / Answer
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
New
5
45
9
1.0000
A
5
57
11.4
1.3000
B
5
56
11.2
1.7000
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
17.7333
2
8.8667
6.6500
0.0114
3.8853
Within Groups
16.0000
12
1.3333
Total
33.7333
14
Level of significance
0.05
(a) Find the test statistic. (Give your answer correct to two decimal places.)
F test statistic = 6.65
(ii) Find the p-value.
p-value = 0.0114
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
New
5
45
9
1.0000
A
5
57
11.4
1.3000
B
5
56
11.2
1.7000
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
17.7333
2
8.8667
6.6500
0.0114
3.8853
Within Groups
16.0000
12
1.3333
Total
33.7333
14
Level of significance
0.05
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