Would it be unusual if the sample mean were greater than $2690? Round the answer to at least four decimal places.

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Would it be unusual if the sample mean were greater than $2690? Round the answer to at least four decimal places.
High-rent district: The mean monthly rent for a one-bedroom apartment
without a doorman in Manhattan is $2663. Assume the standard deviation is
$506. A real estate firm samples 106 apartments. Use Excel.
Part 1 of 5
(a) What is the probability that the sample mean rent is greater than
$2733? Round the answer to at least four decimal places.
The probability that the sample mean rent is greater than $2733 is 0772
Alternate Answer:
The probability that the sample mean rent is greater than $2733 is
0.0772.
Part 2 of 5
(b) What is the probability that the sample mean rent is between $2500
and $2575? Round the answer to at least four decimal places.
The probability that the sample mean rent is between $2500 and $2575 is .0367
Part 3 of 5
(c) Find the 90th percentile of the sample mean. Round the answer to at
least two decimal places.
The 90th percentile of the sample mean rent is $ 2726.01
Part: 3/5
Part 4 of 5
(d) Would it be unusual if the sample mean were greater than $2690?
Round the answer to at least four decimal places.
(Choose one) 7, because the probability that the sample mean is greater
than $2690 is
Español
Transcribed Image Text:High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2663. Assume the standard deviation is $506. A real estate firm samples 106 apartments. Use Excel. Part 1 of 5 (a) What is the probability that the sample mean rent is greater than $2733? Round the answer to at least four decimal places. The probability that the sample mean rent is greater than $2733 is 0772 Alternate Answer: The probability that the sample mean rent is greater than $2733 is 0.0772. Part 2 of 5 (b) What is the probability that the sample mean rent is between $2500 and $2575? Round the answer to at least four decimal places. The probability that the sample mean rent is between $2500 and $2575 is .0367 Part 3 of 5 (c) Find the 90th percentile of the sample mean. Round the answer to at least two decimal places. The 90th percentile of the sample mean rent is $ 2726.01 Part: 3/5 Part 4 of 5 (d) Would it be unusual if the sample mean were greater than $2690? Round the answer to at least four decimal places. (Choose one) 7, because the probability that the sample mean is greater than $2690 is Español
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