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 0.39 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 6.67 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. Họ: H VO Ppm Cadmium concentration (ppm) H V ppm (Type integers or decimals. Do not round.) Compute the value of the test statistic. 0.62 0.16 0.59 0.73 0.18 1.35 D 0.66 0.55 0.56 0.36 0.72 0.19 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box within y (Round to two decimal places as needed.) Print Done O A. The critical value is -z,= O B. The critical values are tZu/2 =+ OC. The critical value is z,= the null hypothesis. At the 1% significance level, the data V sufficient evidence to conclude that the mean cadmium level is the government's recommended limit.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Educational Website Transcription:**

**Cadmium Concentration in Mushrooms**

Cadmium, a heavy metal, poses toxicity risks to animals. Certain mushrooms have the capability to absorb and accumulate cadmium at heightened levels. The government has established a safety limit of 0.5 parts per million (ppm) for cadmium in dry vegetables. 

In the accompanying data set, the cadmium levels in a random sample of an edible mushroom species are under investigation. At a 1% significance level, we seek to determine if the mean cadmium level in these mushrooms surpasses the government's recommended limit of 0.5 ppm. It is assumed that the population standard deviation of cadmium levels in this mushroom species is 0.39 ppm. Preliminary data analysis suggests that using a z-test here is appropriate. (Note: The sum of the data is 6.67 ppm.)

**Links for Reference:**
- [View the cadmium concentration data]
- [View Page 1 of the table of areas under the standard normal curve]
- [View Page 2 of the table of areas under the standard normal curve]

**State the Hypotheses for the One-Mean z-Test:**

- Null hypothesis \( H_0 \): \( \mu = 0.5 \) ppm
- Alternative hypothesis \( H_a \): \( \mu > 0.5 \) ppm

(*Type integers or decimals. Do not round.*)

**Compute the Value of the Test Statistic:**

- z = [____] 
  (*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 selection. 

(*Round to two decimal places as needed.*)

- A. The critical value is \( -z_{\alpha} = \) [____]
- B. The critical values are \( \pm z_{\alpha/2} = \pm \) [____]
- C. The critical value is \( z_{\alpha} = \) [____]

[Dropdown 1] the null hypothesis. At the 1% significance level, the data [Dropdown 2] sufficient evidence to conclude that the mean cadmium level is [Dropdown 3] the government’s recommended limit.

**Cadmium Concentration Data (ppm):**

A dialog box titled "Cadmium concentration (ppm)" is displayed, featuring the following data:

- Row of values: 0
Transcribed Image Text:**Educational Website Transcription:** **Cadmium Concentration in Mushrooms** Cadmium, a heavy metal, poses toxicity risks to animals. Certain mushrooms have the capability to absorb and accumulate cadmium at heightened levels. The government has established a safety limit of 0.5 parts per million (ppm) for cadmium in dry vegetables. In the accompanying data set, the cadmium levels in a random sample of an edible mushroom species are under investigation. At a 1% significance level, we seek to determine if the mean cadmium level in these mushrooms surpasses the government's recommended limit of 0.5 ppm. It is assumed that the population standard deviation of cadmium levels in this mushroom species is 0.39 ppm. Preliminary data analysis suggests that using a z-test here is appropriate. (Note: The sum of the data is 6.67 ppm.) **Links for Reference:** - [View the cadmium concentration data] - [View Page 1 of the table of areas under the standard normal curve] - [View Page 2 of the table of areas under the standard normal curve] **State the Hypotheses for the One-Mean z-Test:** - Null hypothesis \( H_0 \): \( \mu = 0.5 \) ppm - Alternative hypothesis \( H_a \): \( \mu > 0.5 \) ppm (*Type integers or decimals. Do not round.*) **Compute the Value of the Test Statistic:** - z = [____] (*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 selection. (*Round to two decimal places as needed.*) - A. The critical value is \( -z_{\alpha} = \) [____] - B. The critical values are \( \pm z_{\alpha/2} = \pm \) [____] - C. The critical value is \( z_{\alpha} = \) [____] [Dropdown 1] the null hypothesis. At the 1% significance level, the data [Dropdown 2] sufficient evidence to conclude that the mean cadmium level is [Dropdown 3] the government’s recommended limit. **Cadmium Concentration Data (ppm):** A dialog box titled "Cadmium concentration (ppm)" is displayed, featuring the following data: - Row of values: 0
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