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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. Estimate the population means growth in 1 year for 14-year-old boys. Make a point estimate and an 80% confidence interval estimate.

b. Estimate the population means growth in 1 year for 14-year-old girls. Make a point estimate and an 80% confidence interval estimate.

c. Estimate the mean difference in growth for boys versus girls during this 1-year-period. Again, make a point estimate and an 80% confidence interval estimate.

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