Preliminary information:A random variable X is said to have a beta distribution if its PDF is given by:1fx (x) = b-aX~Beta(a. B.a, b)A random variable Y is said to have a standard beta distribution if its PDF is given by:The mode of Y is given by:α-1B-1² ( ² = 2 ) *¹ (ta) ³-¹r(x+B)(x-aΓ(α)Γ(β)fy(y) =r(a)r (B)Y~Beta(a, B)One may transform from X~Beta(a, ß, a, b) to Y~Beta(a, ß) by letting y = (x-a)/(b-a) which means that x =a +(ba) -y. The expected values and variances for the beta distribution and standard beta distribution are:Για + β) (y)-1(1-y)B-1 0

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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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The World Bank Group suggests that a minimum of 6 GB of internet data per month per user is needed for online activities to ensure better life quality (accessing news, health and educational information, social media, and other online activities). Considering the costs and poor internet connectivity, a researcher wanted to estimate the mean monthly data consumption of students in rural areas. She calculated a mean of 3.4 GB of monthly data from a random sample of 25 students. • Sub ● daia (GB) are normally disipe eviation of Complete the statement: If we consider all possible samples of the same size and a 95% confidence interval is obtained from each sample, ther ✓ [Select] Neither A nor B A. 95% of these intervals would contain 3.4 GB. Both A and B B. 5% of these intervals would not contain the true mean monthly data of students
The World Bank Group suggests that a minimum of 6 GB of internet data per month per user is needed for online activities to ensure better life quality (accessing news, health and educational information, social media, and other online activities). Considering the costs and poor internet connectivity, a researcher wanted to estimate the mean monthly data consumption of students in rural areas. She calculated a mean of 3.4 GB of monthly data from a random sample of 25 students. • Sub ● daia (GB) are normally disipe eviation of Complete the statement: If we consider all possible samples of the same size and a 95% confidence interval is obtained from each sample, ther ✓ [Select] Neither A nor B A. 95% of these intervals would contain 3.4 GB. Both A and B B. 5% of these intervals would not contain the true mean monthly data of students
2.1 The Australian Bureau of Statistics (ABS) has recently released a report on the relationship between international students’ ethnicity and enrolments in higher education. Identify the dependent variable(s) and the independent variable (s) in the above scenario.
Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 b) compute the correlation coefficient and coeffcient of determination. Interpret the coefficients.
3. A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows: x = 1.82, s = 0.22 Previous psychological studies show that the true mean reaction time for non-sleep- deprived male subjects is 1.70 seconds. a. Does the sample evidence indicate that the mean reaction time for sleep- deprived male subjects is longer than that of non-sleep-deprived male subjects ? a = 0.05 (iv) The conclusion for the above problem is Do not reject the null hypothesis and mean reaction time for sleep-deprived male subjects is not longer than that of non-sleep-deprived male subjects Reject the null hypothesis and mean reaction time for sleep-deprived male subjects is longer than that of non-sleep-deprived male subjects Do not reject the null hypothesis and…
Example 3: Last year, the population mean of electric energy consumption in city A was 150kwh/month. After a public energy savings awareness campaign, obserse on electric energy 867 Carry consumption of some households. 100- 120- 140- 160- (KWH/month) Households 120 140 160 180 11 9. 3 Assuming that X is normally distributed, does the data suggest that the population mean of electric energy consumption decrease? Carry out a test using a significance level of .05. Ans: t=-3,37 5E
In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSx = 1303.9 SSsy= 1503.0 SSy = 2660.2 Ey = 915 n= 16 %3D Ex = 150 .1 1sx<34 36.7 s y < 90.5 Predict the mean annual compensation in industries in which 30 percent of the workforce are in a Stem field. You answer should be entered in thousands of dollars. Example: If you calculate y-hat as 40.6 then the answer you enter should be 40,600
#26). Both photos are the same problem.
Suppose the average height of all humans is normally distributed with a mean of 72 inches and a variance of 18 inches. Use this information to answer the following three questions. 1. Determine P(75<x<84). 2. Determine P(x>80). 3. Determine P(x < 65).
A classification tree is built on the data below to predict whether or not a student will pass a course. The predictor variables include the categorisation of 2nd year marks (categorised as high (H) / medium (M) / or low (L)) and whether or not the majority of lectures were attended (yes (Y) or no (N)). The response is coded as a pass (P) or fail (F). 2nd yr marks Attended Passed N F Y P M F M Y P H H Y P The Shannon-entropy value for passing given the lecture attendance variable is

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