Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. A govemment 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 0.35 ppm. Preliminary data analyses indicate that applying the z-tes is reasonable. (Note: The sum of the data is 5.54 ppm.) Click here to view the cadmium concentration data. State the hypotheses for the one-mean z-test. Ho: = 0.5 ppm Cadmium concentration (ppm) H 05 ppm (Type integers or decimals. Do not round.) 1.16 O 0.26 0.71 0.19 0.16 0.83 0.35 0.83 0.17 0.37 0.23 0 28 Compute the value of the test statistic. (Round to two decimal places as needed.) Determine the P-value. Print Done (Round to three decimal places as needed.) V the null hypothesis. At the 1% significance level, the data sufficient evidence to conclude that the mean cadmium level is V the government's recommended limit.
Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. A govemment 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 0.35 ppm. Preliminary data analyses indicate that applying the z-tes is reasonable. (Note: The sum of the data is 5.54 ppm.) Click here to view the cadmium concentration data. State the hypotheses for the one-mean z-test. Ho: = 0.5 ppm Cadmium concentration (ppm) H 05 ppm (Type integers or decimals. Do not round.) 1.16 O 0.26 0.71 0.19 0.16 0.83 0.35 0.83 0.17 0.37 0.23 0 28 Compute the value of the test statistic. (Round to two decimal places as needed.) Determine the P-value. Print Done (Round to three decimal places as needed.) V the null hypothesis. At the 1% significance level, the data sufficient evidence to conclude that the mean cadmium level is V the government's recommended limit.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 specles 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 0.35 ppm. Preliminary data analyses indicate that applying the z-test
is reasonable. (Note: The sum of the data is 5.54 ppm.)
Click here to view the cadmium concentration data,
.....
State the hypotheses for the one-mean z-test.
Cadmium concentration (ppm)
Ho H
0.5 ppm
%3D
Ha: #0.5 ppm
(Type integers or decimals. Do not round.)
0.16
0.83
0.35
0.83
0.17
1.16
0.37
0.23
0.28
0.26
0.71
0.19
Compute the value of the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
Print
Done
P =
(Round to three decimal places as needed.)
the null hypothesis. At the 1% significance level, the data
sufficient evidence to conclude that the mean cadmium level is
the government's recommended limit.
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