A sample of 32 observations is selected from a normal population. The sample mea
ID: 3227094 • Letter: A
Question
A sample of 32 observations is selected from a normal population. The sample mean is 66, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.10 significance level.
H1: 68
1) Is this a 1 Tailed Test or Two Tailed Test?
A) Reject H0 if z < -1.645 or z > 1.645
B) Reject H0 if -1.645 < z < 1.645
3) What is the Value of the Test Statistic? Negative amount should be indicated with a negative sign (Round to two decimal Places)
4) What is your decision regarding H0? A or B?
A)Fail to Reject Ho?
B)Reject Ho?
5) What is the P-Value? (round to two decimal places)
A sample of 32 observations is selected from a normal population. The sample mean is 66, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.10 significance level.
Explanation / Answer
1) two tailed test
2) Reject H0 if z < -1.645 or z > 1.645
3) mean =68 , x = 66 , s = 5 , n =32
z = (x -mean) / ( s /sqrt(n))
= ( 66 - 68) / ( 6 / sqrt(32))
= -1.885
4) Reject H0
5) p value is calculated using z = -1.885
p value = 0.05943.