A radio station claims that the amount of advertising each hour ...

[ARLKQ]

A radio station claims that the amount of advertising each hour has an a mean of 15 minutes and a standard deviation of 2.9 minutes. You listen to the radio station for 1 hour and observe that the amount of advertising time is 11.23 minutes. Based on your observation, what would you infer about the radio station's claim?
 
  What will be an ideal response?

Question 2

Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean of 3. Some people believe that the presence of a full moon increases the number of births that take place. Suppose during the presence of a full moon, the hospital experienced eight consecutive hours with more than four births each hour. Based on this fact, comment on the belief that the full moon increases the number of births.
 
  A) The belief is not supported as the probability of observing this many births is 0.00000137.
  B) The belief is supported as the probability of observing this many births would be 0.185.
  C) The belief is not supported as the probability of observing this many births is 0.185.
  D) The belief is supported as the probability of observing this many births would be 0.00000137.

[AaaA]

Answer to Question 1

The z-score for the value 11.23 is -1.3
Since the z-score would not indicate that 11.23 minutes represents an outlier, there is no evidence that the station's claim is incorrect.

Answer to Question 2

D

[ARLKQ]

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