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3. The owner of a local Karaoke Bar has recently surveyed a random sample of n =

ID: 3326113 • Letter: 3

Question

3. The owner of a local Karaoke Bar has recently surveyed a random sample of n = 300 customers of the bar. She would now like to determine whether the mean age of her customers is over 35. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to be 99% confident in her decision, what rejection region she use if the population standard deviation is known and what rejection region she use if the population standard deviation is unknown

Explanation / Answer

if the population standard deviation is known then a 'z' test will be used.

It will be a one tailed test.

Rejection region: at 99% z > 2.33

if the population standard deviation is unknown

t > 2.339

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