Question

Unit-4-Exam-Part-2: Problem 2 Prev Up Next (2 pts) Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that a typical weekend. The data is below Females (Population 1):1,2, 4, 3, 4,3, 0, 4, 3,0 Males (Population 2): 7, 7,7,7,5, 6, 7,7,4, 4 Give a 93.6% confidence interval for the difference between mean female and male drink consumption. variances are equal.) on Confidence Interval

Answer 1

Formula to calculate C.I is

= (x1-x2) +/- t_$\alpha$/2 * sqrt( (s1²/n1) + (s2²/n2) )

Now find those values

x1 = 2.4

n1 = 10

Ti- T i=1

From the above formula we can find s1²

s1² = 2.489

Similarly

x2 = 6.1

n1 = 10

s2² = 1.656

Given

$\alpha$ = 1-0.936 = 0.064

t_$\alpha$/2 = 1.973

93.6 % C.I is

= (x1-x2) +/- t_$\alpha$/2 * sqrt( (s1²/n1) + (s2²/n2) )

= (2.4-6.1) +/- 1.973 * sqrt( (2.489/10) + (1.656/10) )

= -3.7 +/- 1.27025

= -4.91 , -2.43