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For a new study conducted by a fitness magazine, 240 females were randomly selected. For each, the...

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Question

Basic Math

For a new study conducted by a fitness magazine,

240

females were randomly selected. For each, the mean daily calorieconsumption was calculated for a September-February period. Asecond sample of

210

females was chosen independently of the first. For each of them,the mean daily calorie consumption was calculated for aMarch-August period. During the September-February period,participants consumed a mean of

2385.5

calories daily with a standard deviation of

222

. During the March-August period, participants consumed a meanof

2414.5

calories daily with a standard deviation of

252.5

. The population standard deviations of daily calories consumedfor females in the two periods can be estimated using the samplestandard deviations, as the samples that were used to compute themwere quite large. Construct a

90%

confidence interval for

−μ1μ2

, the difference between the mean daily calorie consumption

μ1

of females in September-February and the mean daily calorieconsumption

μ2

of females in March-August. Then complete the table below

What isthe lower limit of the 90% confidence interval?
What isthe upper limit of the 90% confidence interval?

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