We are interested in comparing the average supermarket prices of two leading colas in the Tampa area. Our sample was taken by randomly going to each of eight supermarkets and recording the price of a six-pack of cola of each brand. The data are shown in the following table. Find a 98% confidence interval for the difference in mean price of brand 1 and brand 2. Assume that the paired data came from a population that is normally distributed.

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We are interested in comparing the average supermarket prices of two leading colas in the Tampa
area. Our sample was taken by randomly going to each of eight supermarkets and recording the
price of a sx-pack of cola of each brand. The data are shown in the following table. Find a 98%
confidence interval for the difference in mean price of brand 1 and brand 2. Assume that the paired
data came from a population that is normally distributed.
Price
Supermarket
Brand 1
Brand 2
Difference
$-0.05
$2.25
2,
3.
2.47
2.45
0.02
2.38
2.44
-0.06
-0.02
-0.10
4.
2.27
2.15
2.29
2.25
2.25
2.25
0.00
7.
8.
2.36
2.42
-0.06
-0.03
2.37
2.40
x1=2.3125
x2 2.3500
d=-0.0375
51=0.1007
52 0.0859
Sd30.0381
O (-0.0846, 0.0096)
O (0.1768, 0.1018)
O (0.0722, -0.0028)
O (0.0779, 0.0029)
Transcribed Image Text:We are interested in comparing the average supermarket prices of two leading colas in the Tampa area. Our sample was taken by randomly going to each of eight supermarkets and recording the price of a sx-pack of cola of each brand. The data are shown in the following table. Find a 98% confidence interval for the difference in mean price of brand 1 and brand 2. Assume that the paired data came from a population that is normally distributed. Price Supermarket Brand 1 Brand 2 Difference $-0.05 $2.25 2, 3. 2.47 2.45 0.02 2.38 2.44 -0.06 -0.02 -0.10 4. 2.27 2.15 2.29 2.25 2.25 2.25 0.00 7. 8. 2.36 2.42 -0.06 -0.03 2.37 2.40 x1=2.3125 x2 2.3500 d=-0.0375 51=0.1007 52 0.0859 Sd30.0381 O (-0.0846, 0.0096) O (0.1768, 0.1018) O (0.0722, -0.0028) O (0.0779, 0.0029)
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