The estimate of is the sample average
while the unbiased estimate of is the sample variance
Any of you guys who feeling comfortable with anything of these?
Im really lost
You observe the following sample (rounded) drawn from a normal random variable
X~N(µ,ó²):
22, 19, 14, 15, 20, 20, 21, 14, 19, 18, 15, 14, 15.
a) Use the sample to estimate µ
and ó².
b) Estimate the variance of the sample average ó²ӿ
c) Find a 99% confidence interval for µ
d) Test the null hypothesis H0: µ15 against H0: µ ≠15 with α= 5%
e) Test the null hypothesis H0: µ=µ0 against H0: µ ≠µ with α= 5% for an arbitrary µ0.
f) Find the confidence interval for µ.
g) How are the results in e) and f) related? Why?
Im glad for all kind of answers!