Help Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin). Claim: The mean age of students in a large calculus class is less than 35. A simple random sample of the students has a mean age of 21.6. Choose the correct answer below. OA. The sample is unusual if the claim is true. The sample is not unusual if the claim is false. Therefore, there is not sufficient evidence to support the claim. B. The sample is not unusual if the claim is true. The sample is unusual if the claim is false. Therefore, there is not sufficient evidence to support the claim. C. The sample is not unusual if the claim is true. The sample is unusual if the claim is false. Therefore, there is sufficient evidence to support the claim. D. The sample is unusual if the claim is true. The sample is not unusual if the claim is false. Therefore, there is sufficient evidence to support the claim.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether
events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips,
conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11
heads in 20 flips by chance with a fair coin).
Claim: The mean age of students in a large calculus class is less than 35. A simple random sample of the students has a
mean age of 21.6.
Choose the correct answer below.
A. The sample is unusual if the claim is true. The sample is not unusual if the ciaim is false. Therefore, there is not
sufficient evidence to support the claim.
B. The sample is not unusual if the claim is true. The sample is unusual if the claim is false. Therefore, there is not
sufficient evidence to support the claim.
C. The sample is not unusual if the claim is true. The sample is unusual if the claim is false. Therefore, there is
sufficient evidence to support the claim.
D. The sample is unusual if the claim is true. The sample is not unusual if the claim is false. Therefore, there is
sufficient evidence to support the claim.
Transcribed Image Text:Help Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin). Claim: The mean age of students in a large calculus class is less than 35. A simple random sample of the students has a mean age of 21.6. Choose the correct answer below. A. The sample is unusual if the claim is true. The sample is not unusual if the ciaim is false. Therefore, there is not sufficient evidence to support the claim. B. The sample is not unusual if the claim is true. The sample is unusual if the claim is false. Therefore, there is not sufficient evidence to support the claim. C. The sample is not unusual if the claim is true. The sample is unusual if the claim is false. Therefore, there is sufficient evidence to support the claim. D. The sample is unusual if the claim is true. The sample is not unusual if the claim is false. Therefore, there is sufficient evidence to support the claim.
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