SOLUTION: A sample of 80 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 5. Conduct the following test of hypothesis using

Algebra.Com
Question 1072022: A sample of 80 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.02 significance level:

H0: μ ≤ 13
H1: μ > 13

e. What is the p-value? (Round the final answer to 4 decimal places.)

The p-value is ?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
alpha=0.02 P{reject Ho|Ho true}
test stat is t (df=79,0.99)
Critical value |t|>2.088
t=(x-mean)/s/sqrt(n)
t=2/5/(sqrt(80))=2*sqrt(80)/5
=3.58
Reject Ho
p-value is 0.0003

RELATED QUESTIONS

A sample of 10 observations is selected from a normal population for which the population (answered by stanbon)
A sample of 36 observations is selected from a normal population. The sample mean is 12,... (answered by reviewermath)
A sample of 81 observations is taken from a normal population with a standard deviation... (answered by ewatrrr)
A random sample of 10 observations from one population revealed a sample mean of 23 and a (answered by stanbon)
A sample of 230 observations is selected from a normal population for which the... (answered by hussamuddin,Boreal)
given the mean of 100 and the standard deviation of 30 for a normally distributed... (answered by stanbon)
A sample of 36 observations is selected from a normal population. The sample mean is 12,... (answered by Theo)
A random sample of 8 observations was drawn from a normal population. The sample mean and (answered by math_tutor2020)
Consider a normal population with a mean of 50 and standard deviation of 2. A random... (answered by Boreal)