Question

Question 15 of 24 Step 1 of 5 01:08:31 A sample of 84 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 $93 and the standard deviation is $14. One motel charged $57 per night which is the 15 percentile, charged $118 per night which is the 75th percentile. Step 1 of 5: What is the z-score for a motel charging $103 per night? Round your answer to two decimal places. Tables AnswerſHow to Enter) 2 Points Keypad

Answer 1

1. Z-score for a motel charging $103 is

$\small \frac{103-93}{14}=0.71$

3. The motel who charged $57 is the 15th percentile. Thus the number of motels who charged less than $57 = 84*0.15 = 12.6 =13

4. Let the price of the model be P then it follows:

$\small \frac{P-93}{14}=0.7\implies P=0.7*14+93 = $102.8$

5. False as it is 15 percentile.