Statistics Solutions

[Steps Shown] The average age for licensed drivers in the county is μ = 40.3 years with a standard deviation of σ = 13.2 years. A researcher obtained

Question: The average age for licensed drivers in the county is \(\mu =\) 40.3 years with a standard deviation of \(\sigma =\) 13.2 years.

  1. A researcher obtained a random sample of n =16 parking tickets and computed an average age of M = 38.9 years for the drivers. Compute the z-score for the sample mean and find the probability of obtaining an average age this young or younger for a random sample of licensed drivers. Is it reasonable to conclude that this set of n = 16 people is a
    representative sample of licensed drivers?
  2. The same researcher obtained a random sample of n = 36 speeding tickets and computed an average age of M = 36.2 years for the drivers. Compute the z-score for the sample mean and find the probability of obtaining an average age this young or younger

for a random sample of licensed drivers. Is it reasonable to conclude that this set of n = 36 people is a representative sample of licensed drivers?

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