Find the probabilities that a random variable having the standard normal distributionwill take on a value : answer questions 5-7Q.5 less than -0,88:a) 0.8106Q.6 between 1.30 and 1.75:a) 0.0386b) 0.1657c) 0.5231d) Your answerb) 0.0567Q.7 between -0.25 and 0.45:e) 0.3301d) Your answera) 0.0749b) 0.3387e) 0.550d) Your answer2.3 IfA and B are events in S. the probability of occurrence of event A is 0.6 and for no occurrence of B is 0.4, andthe probability for A and B is equal to 0.1. the probability for any of A or B only :-a) 08b) 1.0c) 0.9d) Your answer**** Given the following observations : answer questions from 9-10:408 401 410 415 390 400 395 450 406Q.9 the sample variance is :a) 360Q.10 the standard deviation is:b) 414e) 550d) Your answera) 14.7Q.II the density for X, the lead concentration in gasoline in grams per liter is given by :F(x) = 12.5X - 1.25b) 5.44c) 2.34d) Your answer0.1sx s0.5the mean or expected value of x is equal to :a) U.17***** In a certain country, the proportion of highway sections requiring repairs in any given year is a random variableHaving the beta distribution with a = 3 and B= 2. then answer questions (12-13)Q.12 the mean is equal to :a) 0.785Q.13 the variance is equal to :b) 0.356c) 0.60d) Your answera) 0.2b) 0.56c) 0.04d) Your answerQ.14 for the log- normal distribution if a -2.B=0.1, the probability between values of 6.1 and 8.2 equal to :a) 0. 785b) 0.5771c) 0.3612d) Your answer

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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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Tiffany is a manager who needs to fire the worst performing 3% of employees. At her organization, employee performance is a normally distributed variable. Tiffany should fire employees who have a performance score that correspond with a z-score less than or equal to _____
4. Review the variance function for specific distributions. For Bernoulli, Poisson, Gamma, and Inverse Gaussian, what does the variance function say about our ability to predict the range of possible values? (This may be a little bit challenging; give it your best guess.)
The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 =0.404 F19,16,0.025 = 0.386| F16,10,0.025 =0.335 F16,10,0.05 =0.401| F15,12,0.1 = 0.496 | F19,16,0.05 =0.451 F10,16,0.025 =0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 = 0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, 0.238 ] O c. [ 2.160 , 0.309 ] O d. [2.063 , 0.318]
A yogurt producer claims the variance on their yogurt containers is 4 grams or less . A sample of 30 containers had a sample variance of 9 grams. We want to test if the variance is greater than 4 (a=0.05) The correct alternative hypothesis to test the producer claim is : Select one: O a. HA :02 s4 O b. HA :02 > 16 29 O C. HA :02 > 4 36 O d. Ho :02 > 2 Finis e Next page
One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?
The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 = 0.404 F 19,16,0.025 = 0.386 F16,10,0.025 =0.335| F16,10,0.05 =0.401 F15,12,0.1 =0.496 F19,16,0.05 =0.451 F10,16,0.025 = 0.286 F 12,15,0.05 =0.382 F16,19,0.025 = 0.371| F10,16,0.05 = 0.354 F12,15,0.1 =0.475 F16,19,0.05 = 0.437| Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, O0.238 ] O c. [ 2.160 , 0.309] O d. [2.063 , 0.318]
R. 4- For the following data. 1 2 3 4 27 32 29 36 Yt i- Calculate all the coefficients of the sample autocorrelation function and calculate the variance for these estimates. ii- Calculate the first 3 PACF and calculate the variance of these estimates.
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (x₁) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer ? V Select an answer V Ha: Select an answer ✓ Based on the hypotheses, find the following: Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 p-value = ? V Select an answer V (Hint: difference in means from Ha) The correct decision is to Select an answer…
A plant pathologist wants to compare two strains of bacteria in terms of its reproduction rate. Test of normality showed that the two samples have heterogeneous variances. Which of the following would you advise the plant pathologist to conduct? A. t-test B. Mann Whitney C. Kruskal Wallis test . D Anova F-test
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
LINEAR REGRESSION 1) An important company asks you as a professional to build a report where the products are evidenced defective ( x ) versus the number of times maintenance and supervision was performed on the machine ( y ) and they supply these data. (img 1) A. What are the mean and median of each distribution? B. What is the variance and standard deviation of each distribution? C. Make the scatterplot, calculate the covariance and discuss it D. Calculate Pearson's correlation coefficient. Is it consistent with covariance? comment on it thanks for help
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (1) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: ₁ Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 Ha: ₁ Based on the hypotheses, find the following: p-value = = V Select an answer ✓ Select an answer (Hint: difference in means from H₂) The correct decision is to fail to reject the null hypothesis The correct summary…

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