1) The average height of females in the freshman class of a certain college has historically been 162.5 centimeters with a standard deviation of 6.9 centimeters. Is there reason to believe that there has been a change in the average height if a random sample of 50 females in the present freshman class has an average height of 165.2 centimeters? Use a P-value in your conclusion. Assume the standard deviation remains the same.

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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1)
2)
The average height of females in the freshman class of a certain college
has historically been 162.5 centimeters with a standard deviation of 6.9
centimeters. Is there reason to believe that there has been a change in the
average height if a random sample of 50 females in the present freshman
class has an average height of 165.2 centimeters? Use a P-value in your
conclusion. Assume the standard deviation remains the same.
It is claimed that automobiles are driven on average more than 20,000
kilometers per year. To test this claim, 100 randomly selected automobile
owners are asked to keep a record of the kilometers they travel. Would you
agree with this claim if the random sample showed an average of 23,500
kilometers and a standard deviation of 3900 kilometers? Use a P-value in
your conclusion.
Transcribed Image Text:1) 2) The average height of females in the freshman class of a certain college has historically been 162.5 centimeters with a standard deviation of 6.9 centimeters. Is there reason to believe that there has been a change in the average height if a random sample of 50 females in the present freshman class has an average height of 165.2 centimeters? Use a P-value in your conclusion. Assume the standard deviation remains the same. It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly selected automobile owners are asked to keep a record of the kilometers they travel. Would you agree with this claim if the random sample showed an average of 23,500 kilometers and a standard deviation of 3900 kilometers? Use a P-value in your conclusion.
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