Question

Consider a parent population with a mean of 50, a variance of 100, from which a random sample of n=64 is drawn.  

What would be the upper bound of a 95% confidence interval for the sample mean?

T/F Again, with the same parameters, a value of the sample mean less than 49 would be unlikely.

T/F If a contention is made that the true mean is 50 or greater, but a sample mean of 49 is observed, that hypothesis could be immediately rejected.

T/F Again, with the same parameters, a value of the sample mean of 51 would mean that there is no need to even conduct a test.

Answer 1

Second Part:

from the confidence interval we can say the mean will be lie in in interval (47.55,52.45), so sample mean can be 49

Ans: False

Third part:

If a contention is made that the true mean is 50 or greater, but a sample mean of 49 is observed, that hypothesis could be immediately rejected.

Ans: True

fourth Part:

Again, with the same parameters, a value of the sample mean of 51 would mean that there is no need to even conduct a test.

Ans: sample mean > 50

Ans: True.