Determine the critical​ value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as​ needed.)   A. The critical value is zα=____________   B. The critical values are ±zα/2=±____________   C. The critical value is −zα=___________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Cadmium, a heavy​ metal, is toxic to animals.​ Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. A government set a safety limit for cadmium in dry vegetables at 0.5 parts per million​ (ppm). The cadmium levels in a random sample of one species of edible mushroom are in the accompanying data set. At the 1​% significance​ level, do the data provide sufficient evidence to conclude that the mean cadmium level in this species of mushroom is greater than the​ government's recommended limit of 0.5 ​ppm? Assume that the population standard deviation of cadmium levels in this species of mushroom is 0.39 ppm. Preliminary data analyses indicate that applying the​ z-test is reasonable.​ (Note: The sum of the data is 6.76 ppm.)

State the hypotheses for the​ one-mean z-test.
 
H0​: μ = 0.5 ppm
Ha​: μ > 0.5 ppm
 
Compute the value of the test statistic.
 
z=0.56
​(Round to two decimal places as​ needed.)
 
Determine the critical​ value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as​ needed.)
 
A. The critical value is zα=____________
 
B. The critical values are ±zα/2=±____________
 
C. The critical value is −zα=___________
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