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A large gym wants to promote an exercise routine they developed. They split the classes they teach into one of two groups: one group that works out with the exercise routine currently implemented (this is group 1) and one group that works out with the new exercise routine (this is group 2). They then randomly select samples of size 35 and 27 from each group and measure the weight loss from one week and find the mean and standard deviation for each exercise routine. Weight loss is approximately normally distributed. Give a 99% confidence interval, for μ1−μ2μ1-μ2 given the following information. ¯x1=2.97x¯1=2.97, s1=0.5s1=0.5, n1=35n1=35¯x2=3.05x¯2=3.05, s2=0.78s2=0.78, n2=27n2=27   ?   ±±    ?      Rounded to 2 decimal places. Use technology and remember you should NOT pool the standard deviations.

A large gym wants to promote an exercise routine they developed. They split the classes they teach into one of two groups: one group that works out with the exercise routine currently implemented (this is group 1) and one group that works out with the new exercise routine (this is group 2). They then randomly select samples of size 35 and 27 from each group and measure the weight loss from one week and find the mean and standard deviation for each exercise routine. Weight loss is approximately normally distributed. Give a 99% confidence interval, for μ1−μ2μ1-μ2 given the following information. ¯x1=2.97x¯1=2.97, s1=0.5s1=0.5, n1=35n1=35¯x2=3.05x¯2=3.05, s2=0.78s2=0.78, n2=27n2=27   ?   ±±    ?      Rounded to 2 decimal places. Use technology and remember you should NOT pool the standard deviations.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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A large gym wants to promote an exercise routine they developed. They split the classes they teach into one of two groups: one group that works out with the exercise routine currently implemented (this is group 1) and one group that works out with the new exercise routine (this is group 2). They then randomly select samples of size 35 and 27 from each group and measure the weight loss from one week and find the mean and standard deviation for each exercise routine. Weight loss is approximately normally distributed.

Give a 99% confidence interval, for μ1−μ2μ1-μ2 given the following information.

¯x1=2.97x¯1=2.97, s1=0.5s1=0.5, n1=35n1=35
¯x2=3.05x¯2=3.05, s2=0.78s2=0.78, n2=27n2=27

  ?   ±±    ?      Rounded to 2 decimal places.

Use technology and remember you should NOT pool the standard deviations.


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