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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 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.07 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, State the hypotheses for the one-mean z-test. Ho: H ppm ppm (Type integers or decimals. Do not round.) Cadmium Concentration (ppm) Compute the value of the test statistic. 0.76 0.88 0.86 0.52 0.26 1.26 D 0.15 0.37 0.76 0.48 0.35 0.42 (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.) Print Done O A. The critical values are tz/2 = + O B. The critical value is - Z,=. O C. The critical value is z, = V the null hypothesis. At the 1% significance level, the data V 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 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 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.07 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, State the hypotheses for the one-mean z-test. Ho: H ppm ppm (Type integers or decimals. Do not round.) Cadmium Concentration (ppm) Compute the value of the test statistic. 0.76 0.88 0.86 0.52 0.26 1.26 D 0.15 0.37 0.76 0.48 0.35 0.42 (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.) Print Done O A. The critical values are tz/2 = + O B. The critical value is - Z,=. O C. The critical value is z, = V the null hypothesis. At the 1% significance level, the data V sufficient evidence to conclude that the mean cadmium level is V the government's recommended limit.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.07 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. State the hypotheses for the one-mean z-test. Ho: H ppm Ha: H (Type integers or decimals. Do not round.) ppm Cadmium Concentration (ppm) Compute the value of the test statistic. 0.76 0.88 0.86 0.52 0.26 1.26 0.15 0.37 0.76 0.48 0.35 0.42 (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.) Print Done A. The critical values are £Z«/2= ± B. The critical value is -: - Za =. C. The critical value is za = 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.
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 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 0.34 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.07 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. State the hypotheses for the one-mean z-test. Ho: H ppm Ha: H (Type integers or decimals. Do not round.) ppm Cadmium Concentration (ppm) Compute the value of the test statistic. 0.76 0.88 0.86 0.52 0.26 1.26 0.15 0.37 0.76 0.48 0.35 0.42 (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.) Print Done A. The critical values are £Z«/2= ± B. The critical value is -: - Za =. C. The critical value is za = 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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