
Sampling Distributions
as walpole doesn't gives even number answers, pls advise if my solution is correct below.
walpole
8.22 b)
P (Z<0.94)  P(Z<1.49)
=0.7583
no. of sample mean that falls betw 172.5 and 175.8 inclusive = 200 x 0.7583151.66, approx 152.
c) p(X bar < 172.0 ) = P(Z< 1.81)
=0.351
no of sample mean that falls below 172 = 200 x 0.0351 = 7.02 = 7 (round off).
8.28
P ((3.45.0) / 1.118) < Z < ((5.95.0)/1.118)
= P (Z< 0.805)  P (Z<1.43)
8.51
T= (2420 )/(4.1/3)
=2.93
so what % of confidence interval to use ?
if i use 95%, t at 0.025, with degrees of freedom =8 > 2.306.
so since 2.306 falls out the range of 2.93 and 2.93, it is unlikely to obtain a sample size of size 9 form this population with mean of 24 and std dev of 4.1.
Am i right ?
thks.