Jenny wants to compare the amount of weight that people lose using two popular weight-loss programs, Shred It and Burn It. She begins by randomly sampling 50 of the approximately 1000 people who used Shred It and finds that their average weight loss was 10 kg with a standard deviation of 3.5 kg. She then takes a separate random sample of 50 of the approximately 1000 people who used Burn It and finds that their average weight loss was 7 kg with a standard deviation of 5.7 kg. The distributions of weight losses in both samples were skewed to the right. Jenny plans to use this information to construct a t interval to estimate the difference in the average amount of weight that people lose using the two weight-loss programs. Which conditions for constructing this type of interval did Jenny's samples meet? I. Both samples were randomly selected from their populations. II. Both samples satisfy the normal condition. III. Individual observations in each sample can be considered independent, and the samples themselves are independent.

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Jenny wants to compare the amount of weight
that people lose using two popular weight-loss
programs, Shred It and Burn It. She begins by
randomly sampling 50 of the
approximately 1000 people who used Shred It
and finds that their average weight loss was 10
kg with a standard deviation of 3.5 kg. She
then takes a separate random sample of 50 of
the approximately 1000 people who used Burn
It and finds that their average weight loss
was 7 kg with a standard deviation of 5.7 kg.
The distributions of weight losses in both
samples were skewed to the right.
Jenny plans to use this information to
construct a t interval to estimate the difference
in the average amount of weight that people
lose using the two weight-loss programs.
Which conditions for constructing this type
of interval did Jenny's samples meet?
I. Both samples were randomly selected from
their populations.
II. Both samples satisfy the normal condition.
III. Individual observations in each sample can
be considered independent, and the samples
themselves are independent.
Transcribed Image Text:Jenny wants to compare the amount of weight that people lose using two popular weight-loss programs, Shred It and Burn It. She begins by randomly sampling 50 of the approximately 1000 people who used Shred It and finds that their average weight loss was 10 kg with a standard deviation of 3.5 kg. She then takes a separate random sample of 50 of the approximately 1000 people who used Burn It and finds that their average weight loss was 7 kg with a standard deviation of 5.7 kg. The distributions of weight losses in both samples were skewed to the right. Jenny plans to use this information to construct a t interval to estimate the difference in the average amount of weight that people lose using the two weight-loss programs. Which conditions for constructing this type of interval did Jenny's samples meet? I. Both samples were randomly selected from their populations. II. Both samples satisfy the normal condition. III. Individual observations in each sample can be considered independent, and the samples themselves are independent.
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