The average total dollar purchase at a convenience store is less
than that at a supermarket. Despite smaller-ticket purchases,
convenience stores can still be profitable because of the size of
operation, volume of business, and the markup. A researcher is
interested in estimating the average purchase amount for
convenience stores in suburban Long Island. To do so, she randomly
sampled 24 purchases from several convenience stores in suburban
Long Island and tabulated the amounts to the nearest dollar. Use
the following data to construct a 90% confidence interval for the
population average amount of purchases. Assume that the population
standard deviation is 3.23 and the population is normally
distributed.
$2 | $11 | $8 | $7 | $9 | $3 |
5 | 4 | 2 | 1 | 10 | 8 |
14 | 7 | 6 | 3 | 7 | 2 |
4 | 1 | 3 | 6 | 8 | 4 |
(Round the answers to 3 decimal places.)
(blank) ≤ μ ≤ (blank)
Since population standard deviation is known, Use z-distribution.
2 | 11 | 8 | 7 | 9 | 3 |
5 | 4 | 2 | 1 | 10 | 8 |
14 | 7 | 6 | 3 | 7 | 2 |
4 | 1 | 3 | 6 | 8 | 4 |
Refer Standard normal table/Z-table or use excel function "=NORM.S.INV((1-0.05))" to find the Z-value. |
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