The data to the right compared the price of some kitchen staples at four differe
ID: 3205165 • Letter: T
Question
The data to the right compared the price of some kitchen staples at four different supermarkets located in the same city. Complete parts (a) through (d).
Find the test statistic. FSTAT= (Round to two decimal places as needed.)
Calculate the pvalue.
pvalue =
(Round to three decimal places as needed.)
Is there evidence of a difference in the mean prices for these kitchen staples at the four supermarkets?
A. Yes. Reject H and conclude that there is evidence of a difference. 0
B. No. Reject H and conclude that there is not evidence of a difference. 0
C. No. Do not reject H and conclude that there is not evidence of a difference. 0
D. Yes. Do not reject H and conclude that there is evidence of a difference.
b. What assumptions are necessary to perform this test? Select all that apply.
A. Populations are uniformly distributed.
B. Populations have equal variances.
C. There is no interaction effect between treatments and blocks.
D. Samples are randomly and independently drawn.
E. Populations are normally distributed.
c. If appropriate, use the Tukey procedure to determine which supermarkets differ. (Use = 0.05.) Select all that apply.
A. Store A and store B differ.
B. There is no evidence of a difference between the means.
C. Store A and store D differ.
D. Store A and store C differ.
E. Store B and store C differ.
F. Store B and store D differ.
G. Store C and store D differ.
d. Do you think that there was a significant block effect in this experiment? Use a 0.05 level of significance.
Determine the null and alternative hypotheses where 1 , 2 , 3 , 4 , 5 , and 6 are the mean grocery prices for each item across all stores.
Find the test statistic.
F STAT=
(Round to two decimal places as needed.)
Find the pvalue.
pvalue = (Round to three decimal places as needed.)
Is there evidence of a significant block effect in this experiment?
A. Yes. Do not reject H and conclude that there was a significant block effect. 0
B. No. Reject H and conclude that there was not a significant block effect. 0
C. No. Do not reject H and conclude that there was not a significant block effect. 0
D. Yes. Reject H and conclude that there was a significant block effect.
STORE
Item A B C D
Halfgallon milk 1.88 2.18 1.59 1.32
Dozen eggs 2.36 2.47 1.69 1.62
Head of lettuce 1.32 2.08 1.51 1.34
Ground beef 1lb 3.51 5.09 3.92 3.51
Apples 1 lb 1.01 1.69 1.98 1.46
Whole chicken 1.54 2.24 1.19 1.54
Explanation / Answer
Sol:
Solution:
the null and alternative hypotheses are:
Null hypothesis:Ho: All means of stores are equal
Alternative Hypotehsis:
Ha: Atleast one of the means is different
Test statistic
=F=MS between groups/MSwithin groups
=0.813611/1.004918
=0.81
F=0.81
P value=0.503
4. Decide between the null and alternative hypotheses.
If p, alpha reject the null hypothesis. If p> alpha fail to reject the null hypothes
p>alpha
0.503>0.05
Fail to Reject null hypothesis
There is difference in means on all stores.
. No. Do not reject H and conclude that there is not evidence of a difference. 0
Solutiob:
To apply or perform a oneway ANOVA, certain assumptions (or conditions) need to exist. If any of the conditions are not satisfied, the results from the use of ANOVA techniques may be unreliable. The assumptions are:
From Choices:
D
B
E
SolutionC:
OptionB
Tukey HSD results
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Store A 6 11.62 1.936667 0.810827 Store B 6 15.75 2.625 1.52355 Store C 6 11.88 1.98 0.96896 StoreD 6 10.79 1.798333 0.716337 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 2.440833333 3 0.813611 0.809629 0.503398 3.098391 Within Groups 20.09836667 20 1.004918 Total 22.5392 23Related Questions
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