Suppose that we are testing H 0 : = 0 versus H 1 : < 0 . Calculate the P -value

Question

Suppose that we are testing H0: = 0 versus H1: < 0. Calculate the P-value for the following observed values of the test statistic:
(a)z0 = -2.15
(b)z0 = -1.91
(c)z0 = -2.71
(d)z0 = -1.57
(e)z0 = 0.52

Round your answers to five decimal places.

An inspector of flow metering devices used to administer fluid intravenously will perform a hypothesis test to determine whether the mean flow rate is different from the flow rate setting of 200 milliliters per hour. Based on prior information the standard deviation of the flow rate is assumed to be known and equal to 12 milliliters per hour. For the sample size n = 20, and = 0.05, find the probability of a type II error if the true mean is 205 milliliters per hour. Round the final answer to four decimal places (e.g. 98.7654).

Explanation / Answer

The P values for the following observed values of the test statistic are obtained from the table:

(a)z0 = -2.15, P value is: 0.0158

(b) z0 = -1.91, P value is: 0.0281

(c) z0 = -2.71, P value is: 0.0034

(d) z0 = -1.57, P value is: 0.0582

(e) z0 = 0.52, P value is: 0.3015

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.