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We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store is more than 546 dollars.

We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store is more than

546

dollars. So, we record the daily profit for a random sample of days. The sample has a mean of

550

dollars and a standard deviation of

79

dollars.

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

(a)

The sample has size

80

,and it is from a non-normally distributed population with a known standard deviation of

78

.

=z
=t
It is unclear which test statistic to use.
(b)

The sample has size

18

,and it is from a population with a distribution about which we know very little.

=z
=t
It is unclear which test statistic to use.

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