Question

Using the data presented by Hand and colleaguest and discussed in previous chapters, we would like to estimate the average difference between the heights of adult British men and adult British women. The 200 men in the sample had a mean height of 68.2 inches, with a standard deviation of 2.7 inches. The 200 women had a mean height of 63.1 inches, with a standard deviation of 2.5 inches. Assuming these were independent samples, compute an approximate 95% confidence interval for the mean difference in heights (in inches) between British males and females. (Round your answers to two decimal places.) to Interpret the resulting interval in words that a statistically naive reader would understand. We can be 95% certain that the average height for British men is between inches taller than the average height for British women in and Need Help? Read It Talk to a Tutor

Answer 1

Given Data ni =200 Z 68.2 3.0 0,- 2.7 nz-200 M = 6311 S.D 52 = 2.5 95%CI 0.95 X=(-0.95 = 0.05 2112= IC - Zo.com 1.96 from I table) 95%CI (T-I ) + 2 + o dole = (68.2-63.1) € 1.96x [217² 4 2.5? 200 200 5.1 t 1.9680.26019 511 t 0.51 = 4.59 75.61 4.59 to 5.61 inch. Can between 4.59 We be 95% certain that the average height for british men and taller than the average height for women 5.6.1 inches british