Question

This Test: 18 pts possible O Here are summary statistics for randomly selected weights of newbom gir 175, 33.29.5-7h Construct a concentrate of the mean. Usa condence level. Are these results very different from the conce Interval 319 g<x<34.9 g with only 18 sample vs. 33.4 houds36h? What is the confidence interval for the population mean nown Round to one decimal place as needed)

Answer 1

bolun. Given - n = 175 X= 33.2 kg s = 7.9 hg 90% confidence level = 2 = 0.10 df = n-1=174 ; ta, ni= to 10,174 = 1.645 (two sided) 0:10 ,174 confidence interval to estimate mean is XIE ; where E= morgin of eyyoy - t* S .. E= t *g - 1.645 * 7.9 = 0.9824 5175 . Lower Limit ..E=0.9824 X-E = 33.2-0.9824 = 32.2176 ² 32.2 = Upper Limit : Lower Limit = 32.2 X + E = 33.2 +0.9824 = 34.1824 ² 34.2 - upper Limit = 34.2 confidence interval for the population mean at 32.2 hg < u < 34.2 kg For only 18 samples values X= 33.4 hg and s= 3.6kg confidence interval 31.ghg < u <34.9 hg This confidence interval is also good representalive for the CI of population mean u. With smaller sample values this CI gives desirable result.