![kannon46](/avatars/8002.jpg)
kannon46
05.05.2020 •
Mathematics
Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 0.6 parts per million (ppm). A hypothesis test is to be performed to decide whether the mean cadmium level in a certain mushroom is less than the government's recommended limit. Complete parts (a) through (c) below.
a) Perform a hypothesis test at the 5% significance level to determine if the mean
cadmium level in the population of Boletus pinicoloa mushrooms is greater than the
government’s recommended limit of 0.5 ppm. Suppose that the standard deviation of
this population’s cadmium levels is o( = 0.37 ppm. Note that the sum of the data is 6.31 ppm. For this problem, be sure to: State your hypotheses, compute your test statistic, give the critical value.
(b) Find the p-value for the test.
Solved
Show answers
More tips
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- S Sport Playing Bowling: Rules and Advice for Novices...
- C Computers and Internet How to Properly Repartition a Hard Drive?...
- A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics Find all points, if any, where the graph of 4x - y = 4 intersects y - 2 = 2(x - 1)2. (2, 4) There are no points of intersection. (-2, 4) and (2, 4) (-2, 4)...
- M Mathematics What are the solutions to the equation? X=-6 and x=-2/3 X=-6 and x=2/3 X=6 and x=2/3...
- M Mathematics The formula for the area of a triangle is A=1/2bh . What is the height, h, of a triangle with an area, A, of 130 m2 and a base, b, of 26 m? 5 m 10 m 13 m 3380 m...
- M Mathematics Find 3 ordered pairs that are solutions of the equation...
- M Mathematics The scatterplot below shows hybrid car sales, in thousands of dollars, for the first 9 months of a certain year. What is the best estimate of hybrid sales in Month 11?...
- M Mathematics Teresa counted the number of tomatoes in 9 baskets at a vegetable stand. The list shows the data. 11, 12, 8, 12, 8, 8, 11, 11,9...
- M Mathematics An architect is reviewing plans for a house. A living room measures 4 inches by 6.5 inches on the plans. If the scale is 1 inch = 3 feet, what is the actual AREA of the...
- M Mathematics Here are the picture and questions. I m looking for a full explanation, please. I ll also give you brainiest. Thanks...
- M Mathematics If Mr. O Brien cuts five lawns per day at $40 each, and he has a goal of making $3500, how many days will it take to reach that goal?...
- M Mathematics Find the common difference of 4, 6, 10, 16…)...
Ответ:
There is not enough evidence to support the claim that the mean cadmium level in Boletus pinicoloa mushrooms is greater than the government's recommended limit (0.5 ppm).
The P-value for this test is P=0.404.
Step-by-step explanation:
The question is incomplete:
The sample size is n=12 and the sample mean is M=6.31/12=0.526 ppm.
This is a hypothesis test for the population mean.
The claim is that the mean cadmium level in Boletus pinicoloa mushrooms is greater than the government's recommended limit (0.5 ppm).
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=12.
The sample mean is M=0.526.
The standard deviation of the population is known and has a value of σ=0.37.
We can calculate the standard error as:
Then, we can calculate the z-statistic as:
This test is a right-tailed test, so the P-value for this test is calculated as:
As the P-value (0.404) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the mean cadmium level in Boletus pinicoloa mushrooms is greater than the government's recommended limit (0.5 ppm).
Ответ:
Step-by-step explanation: