Some bronchial cancer patients had the following survival times (in days) after receiving a certain treatment: 20, 37, 63, 64, 72, 81, 138, 151, 155, 166, 166, 223, 245, 246, 450, 459.  (The second instance of “166” is not a mistake.) Do these numbers suggest that the average survival time, for all bronchial cancer patients who receive that treatment, is significantly different from 200 days?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Data originally from DASL http://lib.stat.cmu.edu/DASL/Datafiles/CancerSurvival.html (Links to an external site.).

Some bronchial cancer patients had the following survival times (in days) after receiving a certain treatment: 20, 37, 63, 64, 72, 81, 138, 151, 155, 166, 166, 223, 245, 246, 450, 459.  (The second instance of “166” is not a mistake.)

Do these numbers suggest that the average survival time, for all bronchial cancer patients who receive that treatment, is significantly different from 200 days?

CANCER SURVIVAL

Report an appropriate one-sample hypothesis test and use a 10% significance level.

For Step 6 of the six-step process that was taught in this class, what would be the final conclusion?

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The P-value is low so we cannot conclude that the average survival time is significantly different from 200 days.
The P-value is not very low so we cannot conclude that the average survival time is significantly different from 200 days.
The P-value is not very low so our conclusion is that the average survival time is significantly different from 200 days.
The P-value is low so our conclusion is that the average survival time is significantly different from 200 days.
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