Question

A sample of 124124 motels is selected from a large urban area and the price for a night of lodging for a single room was determined for each motel. The mean rate is computed to be $89$⁢89 and the standard deviation is $15$⁢15. One motel charged $57$⁢57 per night which is the 15^th percentile. Another motel charged $121$⁢121 per night which is the 75^th percentile.

Step 2 of 5:

How many motels charged $121$⁢121 or less per night? Round your answer to the nearest integer.

A sample of 124124 motels is selected from a large urban area and the price for a night of lodging for a single room was determined for each motel. The mean rate is computed to be $89$⁢89 and the standard deviation is $15$⁢15. One motel charged $57$⁢57 per night which is the 15^th percentile. Another motel charged $121$⁢121 per night which is the 75^th percentile.

Step 3 of 5:

How many motels charged at least $57$⁢57 per night? Round your answer to the nearest integer.

A sample of 124124 motels is selected from a large urban area and the price for a night of lodging for a single room was determined for each motel. The mean rate is computed to be $89$⁢89 and the standard deviation is $15$⁢15. One motel charged $57$⁢57 per night which is the 15^th percentile. Another motel charged $121$⁢121 per night which is the 75^th percentile.

Step 4 of 5:

If the z-score for a motel is 0.50.5, what is the price of a single room at the motel (in dollars)?

A sample of 124124 motels is selected from a large urban area and the price for a night of lodging for a single room was determined for each motel. The mean rate is computed to be $89$⁢89 and the standard deviation is $15$⁢15. One motel charged $57$⁢57 per night which is the 15^th percentile. Another motel charged $121$⁢121 per night which is the 75^th percentile.

Step 5 of 5:

Based on the given information, determine if the following statement is true or false.

The median rate is at most $57$⁢57.

Answer 1