with a poisson of 3 choose 12 specimens of cast iron what should be the distribution of the average number of inclusions you should expect in it
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with a poisson of 3 choose 12 specimens of cast iron what should be the distribution of the average number of inclusions you should expect in it
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- 4. In the ordered data: 20, a, 25, 30, 40, b, 49. If the first quartile=23.5 and IQR=19, then the values of a and b are: a=21.5, b=45.5 a=21, b=48 a=22, b=45 a=22.5 , b=45.5 5. Let X-Bin (12, 0.2), then * P (X 2 1) = O 1- 0.212 O 0.812 O1- 0.812 O 0.212I need help for figuring out how to explain parts a and b.1. Given the data set: {3, 5, 6, 9, 4,7,4,2,3,9, 1, 3, 8} provide the following rounded to two decimal places if needed) The mean а) b) The median The mode c) The range _The midrange d) e The five number summary f) g) A box and whisker plot: draw below using the provided number line for scale. 3 6 10 1 2 4 7 89 h) Is this data set skewed_yes - positive/right, yes - negative/left or no - symmetric (circle one) _The standard deviation (O i) j) Most of the data in the set above are between - 6 and u6. Calculate these values and verify this statement based on the set above. k) According Chebyshev's Theorem, what fraction of the set lie within 2 standard deviations of the mean? Verify this based on the set above
- 1. "The weights of 1,000 children, in average, is 45kg with standard deviation of 18kg. Suppose the weights are normally distributed, how many children weigh between 53kg and 58kg?"a. 670b. 236c. 94d. 764The length of fish were measured at 3 different lakes. Is there evidence to suggest that the average length is not the same at all 3 locations? Lake 1: 3.5, 4.2, 2.1, 3.2, 1.7 Lake 2: 5.1, 6.2, 5.3,4.1 Lake 3: 5.6, 7.1, 6.4, 7.1, 6.4 What is your conclusion? There is not evidence that the mean length at one of the lakes is different then the others. There is evidence hat the mean length at a least one lake is different then the others.In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the X-bar chart? O a. 157.21, 177.05 O b. 146.01, 157.87 Oc. 159.25, 175.02 O d. None is correct O e. 142.92, 160.66 Of. 143.55, 165.47
- Suppose a random sample of n measurements is selected with probability of success p = . 35. Given n = 200, describe the shape, and find the mean and the standard deviation of the sampling distribution of the sample proportion.For this project you have to do the following: 1) list five different things that are normally distributed. Examples that you can't use since I came up with them: Shoe size, middle finger length, oxygen level, electricity bill, wait times on line to pay at target. You must give the website where you found that they are normal for each one of them. 2) measure yourself and use the normal distribution to find out what percent of the population is less than use. What this means is that for one of the five things in 1) you need to make sure that you can find the mean and standard deviation. So an example would be: I found the oxygen level mean and standard deviation to be 98.3 and 1.1. My oxygen level is 98.9. Using the normal distribution calculator I found that 69.3% of the population has a lower measure of that.In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. 145.40, 190.72 O b. 143.55, 165.47 144.77, 159.11 O d. 156.55, 170.47 O e. 142.92, 160.96 Of. None is correct US PAGE NEXT PAGE
- 4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? UTM UTMThe first experiment I created 200 samples with 10 students in each and took each sample's mean. The mean of this distribution was about 10.7 miles with a standard deviation of 3.7 miles. (See video) Next I did 200 samples with 20 students each, then I did 200 samples with 50 students each and finally I did 200 samples with 100 students each. Watch the following video and answer the following questions about the sampling distributions being created. 1) For the samples with 100 students each, when the sampling is complete, what will the mean be close to or equal to? 2) For the samples with 100 students each, when the sampling is complete, will the standard deviation be smaller than the standard deviation for the samples with 50 students each? 3) What is the mean of the population of students that I am randomly sampling from? 4) What is the name of the important theorem that I am demonstrating right now.?what is the population of focus? a reasearch is being done to determine canopy spread of a type of MATURE tree in a given location. the location has 40,000 of these and the mature trees are estimated at 10feet tall. the research collected spread from 1000 random mature trees.