Find the variance, skewness and kurtosis of the following distribution by the method of moments:Class Interval0-1010-2020-3030-40Frequency1432

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Answered: Find the variance, skewness and…

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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Soup A machine is supposed to fill cans with 16 ozof soup. Of course there, will be some variation in theamount actually dispensed, and measurement errors areoften approximately normally distributed. The managerwould like to understand the variability of the variances ofthe samples, so he collects information from the last 250batches of size 10 and plots a histogram of the variances:a) Would a Normal model be a useful model for thissampling distribution? Explain.b) The mean of this distribution is 0.009 and the SD is0.004. Would you expect about 95% of the samplesto have their variances within 0.008 of 0.009? Why orwhy not?
Use the following returns for X and Y. Year Returns X Y 1 21.9% 26.7% 2 −16.9 −3.9 3 9.9 28.7 4 19.8 −14.8 5 4.9 32.7 Calculate the average returns for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. Calculate the variances for X and Y. Note: Do not round intermediate calculations and round your answers to 6 decimal places, e.g., .161616. Calculate the standard deviations for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.
Q1.2 Mean of X A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. X = # of drinks per day Probability Save Answer Q1.3 Variance of X X = # of drinks per day Probability 0 0.38 Find the mean for this random variable, that is find ux. Show your work in the space below. Save Answer A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. 0 0.38 Q1.4 Standard Deviation of X X = # of drinks per day Probability 1 0.32 0 0.38 1 0.32 2 0.25 Find the variance for this random variable, that is find (ox)². Only show the first and last term of the work required. 1 2 0.25 A medical practice collects data on its patients with respect to several personal habits. The following table…
A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than .001 cm². The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values. Assume bearing diameters are normally distributed. Use the data and a = 0.01 to test to determine whether the population of these bearings is to be rejected because of too high a variance. 1.68 1.62 1.63 1.70 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65 Appendix A Statistical Tables (Round your answer to 2 decimal places, e.g. 15.25.) The value of the test statistic is and we reject the null hypothesis ⇒
Using the unemployment data provided, investigate the association between the male unemployment rate in 2007 and 2010 for a sample of 52 countries. Complete parts (a) through (4). m Click the icon to view the data table. OC The plot of the residuals against x tends to cluster as x increases, which is a possible violation of the Linearity Conditon. The Normal probability plot indicates that the Normal Population Assumption is satisfied. OD. The plot of the residuals againat x shows no patten, which satisfes the conditions for linear regression. The Normal probability plot indicates that the Nomal Probability Assumption is violated. c) Test an appropriate hypothesis using a- 0,05 to determine it the association is signiftcant. Choose the corect nul and altemative hypotheses. OA Ha: 0 OB. Ho: lo " 0 HA P0 or l 0 O C. Ho Po-0 OD. Ho: la =P HA Po
The table below shows the number of hours per day 11 patients suffered from headaches before and after 7 weeks of soft tissue therapy. At x = 0.01, is there enough evidence to conclude that soft tissue therapy helps to reduce the length of time patients suffer from headaches? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (f). Patient 8 9 10 11 Q 1 Daily headache hours (before) 2.3 3.4 3.3 2.6 1.8 Daily headache hours (after) 1.8 2.7 1.8 1.6 1.9 1.9 1.2 2.5 2.2 2.0 1.1 2 3 4 5 6 7 4.1 3.2 3.5 2.4 3.7 2.6 C (a) Identify the claim and state Ho and Ha The claim is "The therapy the length of time patients suffer from headaches." Let μd be the hypothesized mean of the patients' daily headache hours before therapy minus their daily headache hours after it. State Ho and H₂. Choose the correct answer below. OA. Ho: Hd=d O C. Ho: Hd ≤0 OB. Ho. Họ sở Ha: Hd >d Ha: Hdd Ha: Hd>0 OD. Ho: Hd #d Ha:Hd=d O E. Ho: Hd zd Ha: Hd 3.169…
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At x = 0.01, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop Fry World X₁ = $11.22 X₂ = $10.59 $₁ = $0.79 $2 = $0.64 n₂ = 10 n₁ = 12 (a) Identify the claim and state Ho and H₂. Which is the correct claim below? O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." OB. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World." O c. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D.…

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Find the variance, skewness and kurtosis of the following distribution by the method of moments: Class Interval 0-10 10-20 20-30 30-40 Frequency 1 4 3 2