The director of research and development is testing a new medicine. The director claims that the mean time in which the medicine relieves pain is less than 318 seconds. For a random sample of 20 patients, the mean time in which the medicine relieved pain was 308 seconds with a standard deviation of 24 seconds. Using a level of significance of 0.01, is there sufficient evidence to support the director’s claim? Assume the population distribution is approximately normal.   Step 5 of 5:  Draw a conclusion and interpret the decision.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The director of research and development is testing a new medicine. The director claims that the mean time in which the medicine relieves pain is less than 318 seconds. For a random sample of 20 patients, the mean time in which the medicine relieved pain was 308 seconds with a standard deviation of 24 seconds. Using a level of significance of 0.01, is there sufficient evidence to support the director’s claim? Assume the population distribution is approximately normal.
 
Step 5 of 5: 
Draw a conclusion and interpret the decision.
 
 
 
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