Question 241546: 1)The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute.
Hank Joseph Susan
8 8 10
10 9 9
9 9 10
11 8 11
10 10 9
Assuming the normality of populations under consideration, at the 5% significance level,
do the data provide sufficient evidence to conclude that a difference exists between the times required by three workers to perform an assembly-line task?
2)240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified by the subject specialism of students.
Cola C Cola B Cola A
44 23 13 Mathematics
10 24 36 Economics
8 8 24 Statistics
11 28 11 Management
Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute.
Hank Joseph Susan
8 8 10
10 9 9
9 9 10
11 8 11
10 10 9
Assuming the normality of populations under consideration, at the 5% significance level,
---
Ho: The means are all equal
H1: At least one of the means is different
I ran an ANOVA test on the data and got the following results:
---
test statistic: F= 1.2653...
p-value = 0.3172
---
Conclusion: Since the p-value is greater than 5%, do not reject Ho.
At the 5% significance level the means are equal.
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Do the data provide sufficient evidence to conclude that a difference exists between the times required by three workers to perform an assembly-line task?
2)240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified by the subject specialism of students.
Cola C Cola B Cola A
44 23 13 Mathematics
10 24 36 Economics
8 8 24 Statistics
11 28 11 Management
Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.
---
Ho: The row and column factors are independent
H1: They are not independent
---
I ran a Chi-Sq test on the data and got the following:
test stat: Chi-Sq = 32.39..
p-value = 0.00000159...
---
Conclusion: Since the p-value is less than 1% reject Ho at the 1% significance
level. The row and column factors are not independent.
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Cheers,
Stan H.
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