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Question 2 The Body Mass Index (BMI) is a value calculated based on the weight and the...

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Statistics

Question 2
The Body Mass Index (BMI) is a value calculated based on theweight and the height of an individual. In a
small European city, a survey was conducted one year ago toreview the BMI of the citizens. In the sample
with 200 citizens, the mean BMI was 23.3 kg/m2 and standarddeviation was 1.5 kg/m2 . It is reasonable to
assume the BMI distribution is a normal distribution.
(a) Find the point estimate of the population mean BMI oneyear ago.
(b) Calculate the sampling error at 90% confidence.
(c) Construct a 90% confidence interval estimate of thepopulation mean BMI one year ago.
This city launched a healthy exercise program to reducecitizen’s BMI after last year’s survey. Suppose the
program effectively reduces the BMI of each citizen by2.5%.
(d) Construct a 98% confidence interval estimate of thepopulation mean BMI after the healthy exercise
program. (Hint: find the updated sample mean and samplestandard deviation of the BMI of the sample
with 200 citizens selected last year)

Answer & Explanation Solved by verified expert
4.0 Ratings (840 Votes)
Answer2aThe point estimate of the population mean would be the samplemean So in this case 233 kgm3 is the point estimate of thepopulation    See Answer
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