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Find the Confidence Interval the difference between two population means

Most adolescents experience a growth spurt when they are between 12 and 15 years old. This period of dramatic growth generally occurs around age 12 for girls and around age 14 for boys. A researcher studying physical development selected a random sample of n = 9 girls and a second sample of n = 16 boys and recorded the gain in height (in millimeters) between the 14th birthday and 15th birthday for each participant. The girls showed an average gain of M = 40 millimeters with SS = 1152, and the boys gained an average of M = 95 millimeters with SS = 2160.

a. approximate the population means growth in 1 year for 14-year-old boys. Create a point estimate and an 80 percent confidence interval estimate.
b. approximate the population means growth in 1 year for 14-year-old girls. Create a point estimate and an 80 Create confidence interval estimate.
c. approximate the mean difference in growth for boys versus girls during this 1-year-period. Again, make a point estimate and an 80 percent confidence interval estimate.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921872

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