Question

A nutritionist claims that a particular exercise program will help participants lose weight after one month. Table shows the weights of 4 adults before participating in the exercise program.

n	Before​ (x)	After​ (y)	​d= x-y
1	154	149
2	210	215
3	167	148
4	205	210

​(a) Compute

d Subscript i Baseline equals x Subscript i Baseline minus y Subscript idi=xi−yi

and report you values.

​(b) Compute

d overbard

and Upper S Subscript dSd

​(c) Conduct hypothesis test for

mu Subscript d Baseline less than 0μd<0

for

alpha equals 0.05α=0.05.

​(d) Construct a​ 90% confidence interval.

Answer 1

PAGE NO. DATE: 1 Yob)40) 1 - 1 Before Adtes '(Y:) 1154 2210 4 167 4205 149 215 148 10 1005 1995 4019 - 3995 1,01 0,025 3,980,025 2,6,1 52,361 15,9 60,025 Total Edi = 11,014 Edit = 37, 108,436 n std. deviation, Do Edi . 1,019 - seems setia - (4 dose? (23, 102, 436 – (11 014)? LEDEN 2 258462:33 Sos SP | 2258462.33 TIGO 2 258462:33 2258462:33 - 1502-82 c) Md=0 Ho : - of There is no effect exercise program on weight lossi (left tailed test) Ogham - H, Mdco

undes to test stentistic - sin 2753-5 1502.82/ 114 - 3.66 uu a 3-66 critical to value - t o 4-1) = tem (3) for left tailed = 2.53 t-cal. (= 2 -66) > t - critical = (2.53) . So, we reject Hoo and concluded that dideo ds got (I for alled is given by - 27 53.5 = Ito Tolo I 1357 A 1502.82 8 JY - 2953.5 € 2.53 (1502.82 (852.433, 4654.567 1852.43] = ld I 14654.57 2