question archive University of Maryland, University CollegeMGMT 650 To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA (table below) on the time (minutes) needed to mix the materials
University of Maryland, University CollegeMGMT 650 To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA (table below) on the time (minutes) needed to mix the materials
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University of Maryland, University CollegeMGMT 650
To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA (table below) on the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at α=0.01.
A B C D
25 23 25 27
23 21 25 26
21 23 25 27
23 24 21 26
A) The pvalue 0.0001 is extreme evidence that the machines are not all the same. The
B) The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal.
C) None of the answers are correct.
D) The data provide strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal.
E) The data provide extreme evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal.
F) The data provide weak evidence against H0: Equal means at pvalue 0.072. Equality of means remains plausible.
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Answer:
C) None of the answers are correct.
Step-by-step explanation
1. First, I encoded the data in excel. It will look something like this:
2. Now, go to the Data tab and click Data Analysis. Then, it will show something like this:
3. Select Anova: Single Factor and click OK.
4. For the Input Range, we will have $A$1:$D$4. For the Grouped By, we will select Columns. Then, we will check Labels in First Row. Our Alpha is equal to 0.01. Hence, we have something like this:
5. Now, click OK. Then, we will have:
Hypotheses:
H0: Means are all equal
Ha: At least one mean is different.
Note:
- If the p-value is less than or equal the significance level, reject the null hypothesis.
- If the p-value is greater than the significance level, do not reject the null hypothesis.
From the data analysis, the p-value is 0.013, which is greater than the significance level 0.01. Hence, we do not reject the null hypothesis. Since we do not reject the null hypothesis, the data provide insignificant evidence against H0: Equal means at p-value 0.013. The machines are considered equal.
C) None of the answers are correct.
PFA
