The random variables x, are i.i.d. and uniform in the interval (-0.5, 0.5). Show that 13 E{(x₁+x2 + x3)} =

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A: From the provided information, Mean (µ) = 195 Standard deviation (σ) = 7.8 X~N (195, 7.8)

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A: Given the random variable X with the pdf of a regular case of the exponential class,…

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A: We have to summarise the relationship between p-value and level of significance α.

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A: It is given that Sample size n = 34 Sample mean = 23750 Sample SD s = 2400 Level of significance =…

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Q: a) The final grades of forty students were randomly selected, recorded and inputted into MINITAB.…

A: The test statistic for testing mean is given by, z=(x̄-µ)/σ/ sqrt(n) Where sample mean is x̄= 87…

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A: Given that  Degree of freedom =df =54 And 10% percentile.

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Q: The data set below indicates the height and wingspan, in inches of certain athletes.  Time series…

A: From the provided information, The regression equation is as follow: Wingspan = 35.5 + 0.58 (height)…

Q: 30. Contracts Your company bids for two contracts. You believe the probability you get contract #1…

A: Given that   the probability you get contract #1 is 0.8. If you get contract #1, the probability you…

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A: (a)   Obtain the point estimate for the difference in the average starting salaries of college…

Q: sample is 49 hours and that the standard deviation is 5 hours. Based on this information, complete…

A: The hypothesized mean is 44 minutes.

Q: To compare the effect of stress caused by noise on the ability to perform a simple task, 74 subjects…

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Q: data represents the murder rate per 100,000 individuals in a sample of selected cities in the United…

A: class f x f*x f*x2 5-11 8 8 64 512 12-18 6 15 90 1350 19-25 10 22 220 4850 26-32 1 29 29 841…

Q: Assume you have an Exponential Distribution with parameter of 0.054 Find P(x > 18.2) round to the…

A:

Q: The average home price in Massachusetts is $410,000, with a standard deviation of $65,000. A city…

A: The question is about normal distribution Given : Popl. avg. home price ( μ ) = $410,000 Popl. std.…

Q: g a girl. In the study 345 babies were born, and 276 of them were girls. Use the sample data to…

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Q: A boat capsized and sank in a lake. Based on an assumption of a mean weight of 149 lb, the boat was…

A: given data  n = 60μ = 180.4σ = 40.2P( overload) = P(x¯>149) = ?

Q: A. What is the p-value of your test?  a. 0.0113 b. 0.9887 c. 0.0226   B. What is your estimate for…

A: Given the data of the birthweights (in pounds) corresponding to the babies born to the mother's in…

Q: for next school year. Suppose SC is composed of 45% Freshmen next school year and we take a sample…

A: It is given that the 45% Freshmen next school year and we take a sample of 1 student with…

Q: mean of the numbers of chocolate chips in a sample of 40 Chips Ahoy regular cookies is 23.95 and the…

A: Given that  n = 40 , s = 2.55

Q: 3. The joint probability function of two discrete random variables X and Y is given by f(x,y) = cxy…

A:

Q: You wish to test Ho:μ = 63.5 versus Ha:μ ‡ 63.5 at a significance level of 0.10. You obtain a sample…

A: GivenMean(x)=53.9standard deviation(s)=16.6sample size(n)=22significance level(α)=0.10The null and…

Q: R2.51 Penguins again In Chapter 8 we learned about the extra- ordinary depth and duration of the…

A: Here , scatter plot is given for  Heart rate and duration of Resid(min) Independent variable(X) =…

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A: The test is to check whether people who read the passage on a piece of paper will remember…

Q: You wish to test Ho:μ = 53.2 versus Ha:μ> 53.2 at a significance level of 0.01. You obtain a sample…

A: Given that  x̄ = 54.4 ,   μ = 53.2 , s = 8.2 , n = 16

Q: lobe has a number of inquiries arriving in their system at 3 inquiries per minute. What is the…

A: Consider X denotes inquiries arriving in the system which follows Poisson distribution with λ=3.

Q: team might use to examine the current marketplace for resi- dential broadband services in a city…

A: Data It is the information that has been translated into a form that is efficient for movement or…

Q: The final grades of forty students were randomly selected, recorded and inputted into MINITAB. The…

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Q: Apply the​ 68-95-99.7 rule to answer the question.   The amount of​ Jen's monthly phone bill is…

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Q: A group of students were timed in their efforts to complete an F1 concession task for a certain…

A: Data from stem and leaf plot : 41,45,46,47,48,49,50,51,52,54,55,56,58,58,60,63,63,65,67,80 N=20…

Q: 10. A random sample of 300 electronic components were selected from a large run of a new…

A: Given that a random sample of 300 electronic components are selected from a large run of a new…

Q: Two hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups…

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Q: The living spaces of all homes in a city have a mean of 2150 square feet and a standard deviation of…

A: given data μ=2150σ=400n=50find the mean of the sampling distribution of x=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: given data normal distriutionμ= 105σ = 15P(90<x<120) = ?

Q: 1. An electronic store salesperson estimates the probabilities for the number of flat screen smart…

A: As per our guidelines we are suppose to answer only three sub parts. Expected value…

Q: Suppose that annual precipitation is normally distributed, with mean 50 inches, and standard…

A: From the provided information, Mean (µ) = 50 Standard deviation (σ) = 12 X~N (50, 12)

Q: A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older…

A: Given that  Sample size n =23 Sample mean=94.3 Standard deviation =21.5

Q: Consider a function f(x) = 0.4 x € (0,1) 0.2 x = (1,4) 0x (0,4). This function gives rise to a…

A: In question, We have given the random variable X having pdf f(x). Then We'll find the following…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: given datanormal distributionμ= 105σ = 15P(x<120) = ?

Q: A study was conducted to investigate effects of physical  training. Sample data from ten subjects…

A: a. The hypotheses are given below: Null hypothesis: H0:µd=0 Alternative hypothesis: H1:µd≠0 The test…

Q: Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red…

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Q: Of the 1000 comparison school students in the sample, 290 had overslept and been late to class at…

A: Given two samples, sample 1 about comparison school students and sample 2, policy change school…

Q: Age of College Students Find the 80% confidence intervals for the variance and standard deviation of…

A: According to the given information in this question We need to find the confidence interval

Q: 9 frot quartile s 5 Third Quartile Q3 Variace Sq

A: Given the frequency distribution to find the first and third quartile and variance.

Q: A sample of 80 households was randomly selected from the home owners in Columbia, Missouri, and an…

A: a) It is needed to test the null hypothesis that whether there is no association between the cities…

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Q: The lifetime of an Acme heat pump has an Exponential distribution with a me of 12 years. Suppose…

A: Let X be the lifetime of an Acme heat pump has Exponential distribution with a mean of 12 years.…

Q: 20.35/2918.495

A: Here, we have to find out the value of 20.35/2918.495.