Pilates is a popular set of exercises for the treatment of individuals with lower back pain. An experiment involving 86 subjects with nonspecific low back pain divided the subjects randomly into two groups of equal size. The first group received merely educational material about pilates exercises whereas the second group participated in 6 weeks of pilates classes. The sample mean level of low back pain, measured from 0 to 10, for the group with educational material was 5.2 whereas the sample mean level of low back pain for the group with class instruction was 3.1. Both sample standard deviations were 2.3. Does it appear that true average pain level of low back pain for the first group exceeds that of the second group's? Carry out a hypothesis test using a significance level of a = 0.01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Pilates is a popular set of exercises for the treatment of individuals with lower back pain. An experiment
involving 86 subjects with nonspecific low back pain divided the subjects randomly into two groups of equal
size. The first group received merely educational material about pilates exercises whereas the second group
participated in 6 weeks of pilates classes. The sample mean level of low back pain, measured from 0 to 10,
for the group with educational material was 5.2 whereas the sample mean level of low back pain for the group
with class instruction was 3.1. Both sample standard deviations were 2.3.
Does it appear that true average pain level of low back pain for the first group exceeds that of the second
group's? Carry out a hypothesis test using a significance level of a = 0.01.
Transcribed Image Text:Pilates is a popular set of exercises for the treatment of individuals with lower back pain. An experiment involving 86 subjects with nonspecific low back pain divided the subjects randomly into two groups of equal size. The first group received merely educational material about pilates exercises whereas the second group participated in 6 weeks of pilates classes. The sample mean level of low back pain, measured from 0 to 10, for the group with educational material was 5.2 whereas the sample mean level of low back pain for the group with class instruction was 3.1. Both sample standard deviations were 2.3. Does it appear that true average pain level of low back pain for the first group exceeds that of the second group's? Carry out a hypothesis test using a significance level of a = 0.01.
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