22 The average age for licensed drivers in the country is u = 42.6 years with a standard deviation of o = 12. The distribution is approximately normal. a. A researcher obtained a sample of n = 25 drivers who received parking tickets. The average age for these drivers was M = 40.5. Is this a reasonable outcome of a sample of n= 25, or is the sample mean very different from what would normally be expected? (Hint: Compute the z-score for the sample mean.) b. The same researcher also obtained a sample of n = 12 drivers who received speeding tickets. The average age for this sample was M = 34.4. Is this a reasonable outcome for a sample of n = 16, or is the sample mean very different from what would usually be expected? (Again, compute the z-score for the sample mean.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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22 The average age for licensed drivers in the country is u = 42.6 years with a standard deviation of
o = 12. The distribution is approximately normal.
a. A researcher obtained a sample of n = 25 drivers who received parking tickets. The average age
for these drivers was M = 40.5. Is this a reasonable outcome of a sample of n = 25, or is the sample
mean very different from what would normally be expected? (Hint: Compute the z-score for the
sample mean.)
b. The same researcher also obtained a sample of n = 12 drivers who received speeding tickets. The
average age for this sample was M = 34.4. Is this a reasonable outcome for a sample of n = 16, or is
the sample mean very different from what would usually be expected? (Again, compute the z-score
for the sample mean.)
Transcribed Image Text:22 The average age for licensed drivers in the country is u = 42.6 years with a standard deviation of o = 12. The distribution is approximately normal. a. A researcher obtained a sample of n = 25 drivers who received parking tickets. The average age for these drivers was M = 40.5. Is this a reasonable outcome of a sample of n = 25, or is the sample mean very different from what would normally be expected? (Hint: Compute the z-score for the sample mean.) b. The same researcher also obtained a sample of n = 12 drivers who received speeding tickets. The average age for this sample was M = 34.4. Is this a reasonable outcome for a sample of n = 16, or is the sample mean very different from what would usually be expected? (Again, compute the z-score for the sample mean.)
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