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 5% 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 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.75 ppm.) Click here to view the cadmium concentration data. Click here to view Page 1 of the table of areas under the standard normal curve, Click here to view Page 2 of the table of areas under the standard normal curve. Cadmium concentration (ppm) State the hypotheses for the one-mean z-test. 0.81 0.33 0.56 0.51 0.64 1.15 D Ho: H ppm 0.74 0.63 0.62 0.38 0.89 0.49 ppm (Type integers or decimals. Do not round.) Compute the value of the test statistic. Print Done (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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 5% significance level, do the data provide sufficient evidence to conclude that the
mean cadmium level in this species of mushroom
0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.75 ppm.)
Click here to view the cadmium concentration data.
Click here to view Page 1 of the table of areas under the standard normal curve.
Click here to view Page 2 of the table of areas under the standard normal curve.
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
Cadmium concentration (ppm)
.....
(Round to two decimal places as needed.)
0.81
0.33
0.56
0.51
0.64
1.15
0.74
0.63
0.62
0.38
0.89
0.49
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.)
O A. The critical value is z, =
O B. The critical values are ±Z«/2
Print
Done
= +
O C. The critical value is - Zq =
the null hypothesis. At the 5% significance level, the data
sufficient evidence to conclude that the mean cadmium level is
the government's recommended limit.
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 species of edible mushroom are in the accompanying data set. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean cadmium level in this species of mushroom 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.75 ppm.) Click here to view the cadmium concentration data. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. 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 Cadmium concentration (ppm) ..... (Round to two decimal places as needed.) 0.81 0.33 0.56 0.51 0.64 1.15 0.74 0.63 0.62 0.38 0.89 0.49 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.) O A. The critical value is z, = O B. The critical values are ±Z«/2 Print Done = + O C. The critical value is - Zq = the null hypothesis. At the 5% significance level, the data sufficient evidence to conclude that the mean cadmium level is 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 5% 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
0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7Z75 ppm.)
Click here to view the cadmium concentration data.
Click here to view Page 1 of the table of areas under the standard normal curve.
Click here to view Page 2 of the table of areas under the standard normal curve.
Cadmium concentration (ppm)
State the hypotheses for the one-mean z-test.
0.81
0.33
0.56
0.51
0.64
1.15
Но
ppm
0.74
0.63
0.62
0.38
0.89
0.49
Ha: H
(Type integers or decimals. Do not round.)
ppm
Compute the value of the test statistic.
Print
Done
Z=
(Round to two decimal places as needed.)
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 species of edible mushroom are in the accompanying data set. At the 5% 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 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7Z75 ppm.) Click here to view the cadmium concentration data. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. Cadmium concentration (ppm) State the hypotheses for the one-mean z-test. 0.81 0.33 0.56 0.51 0.64 1.15 Но ppm 0.74 0.63 0.62 0.38 0.89 0.49 Ha: H (Type integers or decimals. Do not round.) ppm Compute the value of the test statistic. Print Done Z= (Round to two decimal places as needed.)
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