A machine set up to fill a single dose of medication used in eye surgery is prog

Question

A machine set up to fill a single dose of medication used in eye surgery is programmed to put an average of µo ml. (shown on right) in each dose. In order to validate that the machine has been programmed correctly, a random sample of n (shown on right) doses was taken at the start of a production run resulting in a sample mean, (shown on right), and sample standard deviation, s (shown on right). If the Null Hypothesis for a two tailed test is Ho: µx = µo what would the p-value be for this two tailed hypothesis test if the sample value for the standardized test statistic is Z (shown on right)? n = 81 s = 5 = 4.5 Ho: µx = µo = 4 = 0.05 Z = 0.9 a. 0.816 b. 0.050 c. 0.368 d. 0.184 e. none A machine set up to fill a single dose of medication used in eye surgery is programmed to put an average of µo ml. (shown on right) in each dose. In order to validate that the machine has been programmed correctly, a random sample of n (shown on right) doses was taken at the start of a production run resulting in a sample mean, (shown on right), and sample standard deviation, s (shown on right). If the Null Hypothesis for a two tailed test is Ho: µx = µo what would the p-value be for this two tailed hypothesis test if the sample value for the standardized test statistic is Z (shown on right)? n = 81 s = 5 = 4.5 Ho: µx = µo = 4 = 0.05 Z = 0.9 a. 0.816 b. 0.050 c. 0.368 d. 0.184 e. none

Explanation / Answer

To find P value:

Z = 0.9

Table of Area Under Standard Normal Curve gives area corresponding to Z = 0.9 as area = 0.3159

Two tailed test

So,

P value = (0.5 - 0.3159) X 2 = 0.368

So,

Correct option:

c.   0.368

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