Question

Need help with the value of the test statistic, the critical value and the p value.

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 0.37 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 7.55 ppm.) Click her Click her iew admiu ntration data o view Page 1 o view Page table of areas under t table of areas under standard normal curve standard normal curve State the hypotheses for the one-m ean z-test. Ho: 0.5 ppm a: ? > 0.5 ppm (Type integers or decimals. Do not round.) Compute the value of the test statistic. (Round to two decimal places as needed.)

Answer 1

Let n shows the sample size.

The sample mean is

The test statistics is

The p-value is

p-value = P(Z >z)

The p-value will be calculated using excel function "=1-NORMSDIST(z)".

Critical value:

Critical value of z for 10% significance level is 1.28.

Rejection region:

If z > 1.28, reject H0

Note:

Sample size is missing so I am not able to do full calculations. Please provide the sample size.