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 10% 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 0.41 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 6.71 ppm.) data below 0.66, 0.21, 0.26, 0.86, 0.94, 1.17, 0.38, 0.31, 0.85,0.37,0.46,0.24 State the hypotheses for the one-mean z-test. H0:μ less than< greater than> not equals≠ equals= Ha:μ equals= greater than> less than< not equals≠ (Type integers or decimals. Do not round.) Part 2 Compute the value of the test statistic. z=enter your response here (Round to two decimal places as needed.) Part 3 Determine the P-value. P=enter your response here (Round to three decimal places as needed.) Part 4 Reject Do not reject the null hypothesis. At the 10% significance level, the data provide do not provide sufficient evidence to conclude that the mean cadmium level is not the same as less than equal to more than 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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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 10% 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 0.41 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 6.71 ppm.) data below

0.66, 0.21, 0.26, 0.86, 0.94, 1.17, 0.38, 0.31, 0.85,0.37,0.46,0.24

State the hypotheses for the one-mean z-test.

H0:μ

less than<

greater than>

not equals≠

equals=

Ha:μ

equals=

greater than>

less than<

not equals≠