A sample of 32 observations is selected from a normal population. The sample mea

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.

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