I. Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, can absorb and accumulate cadmium at highconcentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.55 partper million (ppm) with 0.3 standard deviation. Several researchers measured the cadmium levels in a random sampleof the edible mushroom Boletus pinicola and published the results in the paper. The detailed data values are shownbelow.0.540.590.620.560.771.330.920.700.690.680.190.330.250.590.520.991.011.20Using R software, perform a test of hypothesis at the 5% significance level, whether the standard deviation of cadmiumlevel of Boletus pinicola mushrooms is less than 0.3 ppm? Check normality assumption and report five stepprocedure covered in the lecture. Include all of R codes and outputs.

The question is about hypothesis testing.Given :To find :Check the normality assumption and test the…

Answered: I. Cadmium, a heavy metal, is toxic to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 2.5 in. The survey also found that men's heights are hormally distributed with mean 68.3 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at he amusement park? The percentage of men who meet the height requirement is %. Round to two decimal places as needed.)
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…
Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. An article in the ASCE Journal of Energy Engineering ("Overview of Reservoir Release Improvements at 20 TVA Dams," Vol. 125, April 1999. pp. 1-17) presents data on dissolved oxygen concentration from streams below 20 dams in the Tennessee Valley Authority system. The sample mean from the observations is = 3.294 and the sample standard deviation is s = 2.125. Assume population is approximately normally distributed. Round your answers to 2 decimal places. (a) Calculate the 95% two-sided confidence interval on the mean oxygen concentration. | SUSI (b) Calculate the 95% two-sided prediction interval on the dissolved oxygen concentration for the next stream that will be tested. ≤Xn+1 ≤ (c) Find an interval that will contain 95% of the values of the dissolved oxygen concentration with 99% confidence. i
When the nature of population from which samples is drawn is not known to be normally distributed the data can be analysed with the help of a. Parametric statistics b. Descriptive statistics c. Non-parametric statistics d. None of the above
A clinical psychologist posits that drug use leads to conduct problems. To test this, he examines whether his adolescent inpatient drug users were elevated in terms of conduct disorder (CD). A sample of 100 was evaluated using a standard measure of CD; they had a mean score of 53. The population mean (µ) for the CD scale is 50 with a standard deviation (σ) of 10. Show calculations for the appropriate test.a. Report and interpret an effect size. a. Report and interpret an effect size.
Engineers are interested in comparing the mean hydrogen production rates per day for three different heliostat sizes. From the past week’s records, the engineers obtained the amount of hydrogen produced per day for each of the three heliostat sizes. Then they computed and compared the sample means, which showed that the mean production rate per day increased with the heliostat sizes. a. Identify the type of the study describe here. b. Discuss the type of interference that can and cannot be drawn from this study.
It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.
For a normal population, if a sample of size 25, sample mean3 2.3 and SD= 9.8. Then The 95% one- sided CI lower bound for the population mean is: a. -1.5416 O b. -0.9144 O C. -1.7454 O d. -1.0536
Determine the point of estimate of the population mean and margin of error from the given information: Lower Bound: 5 Upper Bound: 23 Question 4 options: x¯= 15 E = 10 x¯= 12 E = 9 x¯= 13.5 E = 9 x¯= 14 E = 9
A manufacturing company glues one part to another part during the assembly of its final product. Either too much or too little glue presents a problem. It is important for the pressure of the glue nozzle (pounds per square inch) to be set correctly because it affects the amount of glue (ounces) that is applied. Ten applications are sampled and the following information collected: SSXX = 129.6 SSYY = 2.345 SSXY = 16.6 X bar = 25.2 Y bar = 2.05 What is the estimated y intercept?
Question 16: Please use the approporate stats table attached. Do not use a software for this problem.a. What was the observed difference between the mean PCV levels for the two groups? b.Assuming that the two groups have similar variances, estimate the standard error of the difference between the sample means c. Conduct an appropriate test to assess the difference between the two means. What do you conclude?
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