Question

An advertisement for a popular supermarket chain claims that it has had consistently lower prices than four other full-service supermarkets. As part of a survey conducted by an "independent market basket price-checking company," the average weekly total, based on the prices (in $) of approximately 95 items, is given for two different supermarket chains recorded during 4 consecutive weeks in a particular month. Week Advertiser ($) Competitor ($) 1 254.30 255.94 2 240.71 255.70 3 231.80 255.18 4 234.20 261.24 (a) Is there a significant difference in the average prices for these two different supermarket chains? (Use ? = 0.05. Round your answers to three decimal places.) 1-2. Null and alternative hypotheses. Multiple Choice, choose one of the following: H0: μd = 0 versus Ha: μd < 0 H0: μd = 0 versus Ha: μd > 0 H0: μd ≠ 0 versus Ha: μd = 0 H0: μd < 0 versus Ha: μd > 0 H0: μd = 0 versus Ha: μd ≠ 0 3. Test statistic: t = 4. Rejection region: If the test is one-tailed, enter NONE for the unused region. t > ___ t < _ 5. Conclusion. Multiple Choice, choose one of the following: H0 is rejected. There is sufficient evidence to indicate that the means are different. H0 is rejected. There is insufficient evidence to indicate that the means are different. H0 is not rejected. There is sufficient evidence to indicate that the means are different. H0 is not rejected. There is insufficient evidence to indicate that the means are different. (b) What is the approximate p-value for the test conducted in part (a)? Multiple Choice, choose one of the following: p-value < 0.010 0.010 < p-value < 0.020 0.020 < p-value < 0.050 0.050 < p-value < 0.100 0.100 < p-value < 0.200 p-value > 0.200 (c) Construct a 99% confidence interval for the difference in the average prices for the two supermarket chains. (Round your answers to two decimal places.) $_ to $___ Interpret this interval. Multiple Choice, choose one of the following: Since 0 does not fall in the confidence interval, there is sufficient evidence to indicate that the means are different. Since 0 falls in the confidence interval, there is sufficient evidence to indicate that the means are different. Since 0 does not fall in the confidence interval, there is insufficient evidence to indicate that the means are different. Since 0 falls in the confidence interval, there is insufficient evidence to indicate that the means are different.

          An advertisement for a popular supermarket chain claims that it
has had consistently lower prices than four other full-service
supermarkets. As part of a survey conducted by an "independent
market basket price-checking company," the average weekly total,
based on the prices (in $) of approximately 95 items, is
given for two different supermarket chains recorded during 4
consecutive weeks in a particular month.
Week
Advertiser ($)
Competitor ($)
1
254.30
255.94
2
240.71
255.70
3
231.80
255.18
4
234.20
261.24
(a) Is there a significant difference in the average prices for
these two different supermarket chains? (Use ? =
0.05. Round your answers to three decimal places.)
1-2. Null and alternative hypotheses. Multiple Choice, choose one
of the following:
H0: μd =
0
versus Ha: μd <
0
H0: μd =
0
versus Ha: μd >
0    
H0: μd ≠ 0
versus Ha: μd =
0
H0: μd <
0
versus Ha: μd >
0
H0: μd =
0
versus Ha: μd ≠ 0
3. Test statistic:  t = 
4. Rejection region: If the test is one-tailed, enter NONE for the
unused region.
t > _____
t < _____
5. Conclusion. Multiple Choice, choose one of the
following:
H0 is rejected. There is sufficient
evidence to indicate that the means are different.
H0 is rejected. There is insufficient
evidence to indicate that the means are
different.    
H0 is not rejected. There is sufficient
evidence to indicate that the means are different.
H0 is not rejected. There is
insufficient evidence to indicate that the means are different.
(b) What is the approximate p-value for the test
conducted in part (a)? Multiple Choice, choose one of the
following:
p-value < 0.010
0.010 < p-value <
0.020    
0.020 < p-value < 0.050
0.050 < p-value < 0.100
0.100 < p-value < 0.200
p-value > 0.200
(c) Construct a 99% confidence interval for the difference in the
average prices for the two supermarket chains. (Round your answers
to two decimal places.)
$_______  to $_______ 
Interpret this interval. Multiple Choice, choose one of the
following:
Since 0 does not fall in the confidence interval, there is
sufficient evidence to indicate that the means are different.
Since 0 falls in the confidence interval, there is sufficient
evidence to indicate that the means are
different.    
Since 0 does not fall in the confidence interval, there is
insufficient evidence to indicate that the means are different.
Since 0 falls in the confidence interval, there is insufficient
evidence to indicate that the means are different.

Added by Ramon G.

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