1. A severe storm has an average peak wave height of 16.4 feet for waves hitting
ID: 3340665 • Letter: 1
Question
1. A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose
that a storm is in progress with a severe storm class rating. Let us say that we want to set up a
statistical test to see if the wave action (i.e., height) is dying down or getting worse. If you
wanted to test the hypothesis that the waves are dying down, what would you use for the alternate
hypothesis? Is the P-value area on the left, right, or on both sides of the mean?
A) H1 : is less than 16.4 feet; the P-value area is on the right of the mean
B) H1 : is not equal to 16.4 feet; the P-value area is on the right of the mean
C) H1 : is not equal to 16.4 feet; the P-value area is on the left of the mean
D) H1 : is greater than 16.4 feet; the P-value area is on the right of the mean
E) H1 : is less than 16.4 feet; the P-value area is on the left of the mean
2. Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 8.8 seconds.
Suppose that you want to set up a statistical test to challenge the claim of 8.8 seconds. What would
you use for the null hypothesis?
A) H0 : > 8.8 seconds
B) H0 : = 8.8 seconds
C) H0 : < 8.8 seconds
D) H0 : Å 8.8 seconds
E) H0 : £ 8.8 seconds
3. Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.8 seconds.
Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per
hour is longer than 7.8 seconds. What would you use for the alternative hypothesis?
A) H1 : < 7.8 seconds
B) H1 : > 7.8 seconds
C) H1 : = 7.8 seconds
D) H1 : Ñ 7.8 seconds
E) H1 : £ 7.8 seconds
4. Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 8.1 seconds.
Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per
hour is less than 8.1 seconds. What would you use for the alternative hypothesis?
A) H1 : < 8.1 seconds
B) H1 : > 8.1 seconds
C) H1 : £ 8.1 seconds
D) H1 : Ñ 8.1 seconds
E) H1 : = 8.1 seconds
Explanation / Answer
In defining hypothesis equal to sign (like = , <= or >=) always goes into null hypothesis.
1)
D) H1 : is greater than 16.4 feet; the P-value area is on the right of the mean
2)
B) H0 : = 8.8 seconds
3)
B) H1 : > 7.8 seconds
4)
A) H1 : < 8.1 seconds
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