Determine the critical value(s) for a one-mean z-test. Draw a graph that illustr

Question

Determine the critical value(s) for a one-mean z-test. Draw a graph that illustrates your answer.

A left-tailed test with

alphaequals=0.010.01.

The critical value(s) is (are)

nothing.

(Round to

twotwo

decimal places as needed. Use a comma to separate answers as needed.)

The graph to the right portrays the decision criterion for a hypothesis test for a population mean

mu.

Upper H 0H0:

muequals=mu 00.

0.0250.025

0.0250.025

Do notDo not

reject nbspreject

RejectReject

Upper H 0H0

RejectReject

Upper H 0H0

Upper H 0H0

a. Determine the rejection region.

A.

z greater than 1.645z>1.645

B.

z less than or equals minus 1.645 or z greater than or equals 1.645z1.645 or z1.645

C.

z less than or equals minus 1.645z1.645

D.

negative 1.645 less than or equals z less than or equals 1.6451.645z1.645

The graph to the right portrays the decision criterion for a hypothesis test for a population mean

mu.

The null hypothesis for the test is

Upper H 0H0:

muequals=mu 00.

The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Complete parts (a) through (f) below. 1.645-1.6450z

0.0250.025

0.0250.025

Do notDo not

reject nbspreject

RejectReject

Upper H 0H0

RejectReject

Upper H 0H0

Upper H 0H0

A normal curve is over a horizontal z-axis from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segments extend from the horizontal axis to the curve at z = negative 1.645 and z = 1.645. The area under the curve to the left of the left vertical line segment and the area under the curve to the right of the right vertical line segment are shaded, and labeled 0.025 and Reject H 0. The area under the curve in between the vertical line segments is labeled Do not reject H 0.

Explanation / Answer

Here, alpha==0.1 & test is left tailed.

Critical value=Z=Z0.01= -2.326348

Here , rejection region is Z less than -2.326348

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