Question

Problem: Whole Foods is an all-natural grocery store chain. A random sample of 10 stores was taken and the average, x̄, sales per square foot is $846.20 and the sample standard deviation, s is $32.866.

a. Should a z-based or t-based confidence interval be used?

b. Find a 95 percent confidence interval for the population mean sales dollars per square foot for all Whole Foods supermarkets.

c. Historically, Whole Foods sells on average $800 per square foot. Are we 95 percent confident that this mean is greater than the $800 historical average?

Answer #1

3. Whole Foods is an all-natural grocery chain that has
50,000-square-foot stores, up from the industry average of 34,000
sq ft. Sales per square foot of supermarkets average just under
$400 per square foot, as reported by USA Today. Suppose that sales
per square foot in the most recent fiscal year are recorded for a
random sample of 10 Whole Foods supermarkets. The data are as
follows:
854 858 801 892 849 807 894 863 829 815
a. Find the...

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statistics. The confidence interval may be interpreted as
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A.
95% of the stores have sold between 5.62 and 6.38 lawnmowers on
average.
B.
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To compare prices of two grocery stores in Toronto, a random
sample of items that are sold in both stores were selected and
their price noted in the first weekend of July 2018: (12
Points)
Item
Store A
Store B
Difference (Store A - Store B)
1
1.65
1.98
-0.33
2
8.70
8.49
0.21
3
0.75
0.89
-0.14
4
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0.06
5
11.30
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6
7.70
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7
6.55
6.99
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8
3.70
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a. p < .05 b. p =
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