Written Math Compute for kurt, and describe the type of kurtosis for each set of samples. 11. Scores of 15 students in a 10-item Math Quiz: 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 8 12. Scores of 15 students in a 10-item Science Quiz: 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9
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- Determine the type of kurtosis of the given sets of score in 10 quizzes of two students.Graph the results. A.Student A: 11,4,6,2,8,5,3,9,10,7 B.Student B: 2,12,5,7,6,6,6,6,5,6Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4 blue, and 5 white balls. If we let X and Y denote, respectively, the number of red and white balls chosen. a) Solve for P(x=0, y=0) b)Solve for P(x=1, y=2) c)Solve for P(x=2, y=1)A dietitian wants to test if on the average a person’s cholesterol level will be lowered if their diet is supplemented with a certain mineral. Six subjects have their cholesterol level tested before taking this mineral and again after taking this mineral for a 3 months. The measured cholesterol levels are listed in the table below: Level Before Mineral 210 235 208 190 172 244 Level After Mineral 190 170 210 188 173 228 When doing a Hypothesis Test to test this dietitian's claim the Degree of Freedom used and the computed P-value are A.) Degree of Freedom = 10 and P-value = 0.1349 B.) Degree of Freedom = 9.6562 and P-value = 0.1354 C.) Degree of Freedom = 5 and P-Value = 0.1688 D.) Degree of Freedom = 5 and P-value = 0.0844
- a) Verify that the 95% CI for the difference in the proportions of female Hispanic drivers in the two citieswho wear seat belts pNY − pBT is (0.149, 0.353). Show your computation. b) Determine if the following statements are true or false, and explain your reasoning if you identify thestatement as false.i. There was strong evidence that pNY > pBT.ii. 95% of random samples of 220 female Hispanic drivers in New York City and 117 female Hispanicdrivers in Boston will yield differences in sample proportions between 14.9% and 35.3%.iii. A 90% confidence interval for pNY − pBT would be wider.iv. A 95% confidence interval for pBT − pNY is (−0.353, −0.149).Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?An automobile manufacturer ships one model of its economy car in just four colours. the manufacturer’s contract with its dealers states that the colours white, red, blue, and yellows are in the proportions 9:3:3:1. A sample of 400 contains 231 white, 70 red, 79 blue, and 20 yellow cars. (a) Estimate the proportion of each colour in the manufacturer’s shipments. (b) Test the hypothesis that the proportions are in the ratio 9:3:3:1. Let α =0.05
- Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?A company that manufactures medical devices is conducting tests in R&D on a new product. The product is in production on a pilot run (product will not be sold from the pilot run). The product is manufactured in batches and the quality of the batch must be determined, by testing a sample of 9 devices selected at random from a batch. One aspect that is monitored is the width of the bond in the device, ideally this should be equal to 3 mm on average. A sample from the latest batch gave the following bond widths measured in mm: 3.2, 2.8, 2.7, 3.0, 2.9, 2.9, 2.9, 3.2, 2.8 these gave an average of 2.93 mm and the widths varied by a standard deviation of s = 0.17 mm. Test, at significance level α = 0.01, whether there is evidence that the average bond width of the batch of devices is different to the required specification, by testing the following hypotheses: H 0: μ = 3 mm H a: μ ≠ 3 mm. Complete the test by filling in the blanks in the following:An estimate of the population mean is…In a random sample of n pairs of values of X and Y,(xi, yj) occurs fij times for i = 1, 2, ... ,r and j = 1, 2, ... , c.Letting fi· denote the number of pairs where X takes onthe value xi and f·j the number of pairs where Y takeson the value yj, write a formula for the coefficient ofcorrelation.
- The iHub features an array of 3D printers for student use. 3D printers use plastic filament spools to print out plastic parts. The iHub purchases 85% of their filament spools from Amazon, and the rest of their filament spools from Flash Forge. It has been determined that 9% of the filament spools from Amazon are defective, while only 3% of the filament spools from Flash Forge are defective. i) The iHub randomly selects one filament spool from its inventory. What is the probability of it being a defective filament spool? (three decimals) ii) If a filament spool at the iHub is randomly selected and determined to be defective, what is the probability that the filament spool was purchased from Amazon? (three decimals)A chi square test for homogeneity applies to: Select one: a. data from a single random sample where the sample is classified by values of three or more categorical variables. b. data from samples from two or more populations where each sample is classified by values of two categorical variables. c. data from samples from two or more populations where each sample is classified by values of a single categorical variable. d. data from a single random sample where the sample is classified by values of two categorical variables.At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B a) Consider a random sample of n=9 people who donated blood over the past three months. The expected number of people with blood type O+ is and the expected number of people with blood type A- is Calculate the following probabilities: P(X=5)= __________ Round your answer to 4 decimal places. P(X>2)= __________ Round your answer to 4 decimal places. b) Consider a random sample of n=40 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood. ________…