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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
Related questions
Question
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
significance level, the data
provide
do not provide
not the same as
less than
equal to
more than the government's recommended limit.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill