Suppose that a simple random paired sample is taken from two populations to compare their means. Further suppose that the distribution of the paired-difference variable has a symmetric distribution. Under what conditions would the paired t test be preferable to the paired Wilcoxon signed-rank test? Explain your answer.

Q: Give two ways to compute the variance of a continuous random variable.

A: 1.Using expectation formula i.e.      here E(X) of a continuous variable X  can be calculated as…

Q: It is conjectured that the proportion of all people who went trick-or-treating who also had a…

A: From the given information, n=270 and x=162.

Q: A survey conducted by a food company in Flanders indicated that 49% of strawberry buyers could…

A: It is given that, a survey conducted by a food company in Flanders indicated that 49% of strawberry…

Q: Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare…

A: a)Requirements for a paired t-test:The samples must be paired sample and drawn randomly from…

Q: In a certain vaccination site, the service time for individuals before they were given a vaccine…

A: Given problem is : In a certain vaccination site, the service time for individuals before they were…

Q: f a company employs n salespersons, its gross sales in thousands of dollars may be regarded as a…

A: Gross sales for a sales person follow gamma distribution with parameters α and β Mean sales (Mean of…

Q: A sample of size 50 from a unimodal( one mode), distribution that is skewed to the right has…

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Q: Suppose that X1 and X2 are random variables with zero mean and unit ariance. If the correlation…

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Q: If the random variable X distributed according to the normal distribution with known variance = W ,…

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Q: Compute the mean, variance, and standard deviation of the GMAT scores for the 51 observations.…

A: Given Data : 345 749 427 765 336 777 663 451 787 454 711 544 453 330 718 462 585 658…

Q: Calculate how much difference is expected, on average, between two sample means if: n1 = 4, n2 = 6,…

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Q: if each individual in the population drinks 2 kg of tea and 1 kg of coffee, the mean total…

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Q: One sample with n =8 has a S2 = 6 and a second sample n = 8 scores has a S2 = 10.  If the pooled…

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Q: The bearing for any computer hard drive can be modeled as a random variable with mean 0.225 mm and…

A: Let X be random variable that bear hard drive for any computer.   We are given X~N(μ, σ2) with mean,…

Q: Suppose that in a certain year, it was reported that the variance in GMAT scores was 14,650. At a…

A: (a)   Determine the value of sample mean, variance and standard deviation   Use EXCEL Procedure to…

Q: A random variable that can be used of the gamma distribution is

A: Random variable can be α=4,β Mean and variance can be, E(X)=αβ=4βVar(X)=αβ2=4β2 Size of sample is…

Q: An analyst working at Wyson claims that the number of service calls on equipment sold is not more…

A: Given that, An analyst working at Wyson claims that the number of service calls on equipment sold is…

Q: To test whether the variances are equal, the p-value is calculated as p=0.008 based on the test…

A: Determine the decision rule. State the hypotheses. That is, there is no difference between two…

Q: When performing a two-sample t-test, if the variance in the two groups being compared are considered…

A: 2 sample test is used to compare the means of 2 samples. t-test is a parametric test.

Q: When conducting a test for the difference of means for two independent populations x1 and x2, what…

A: Given information- We have given two independent populations x1 and x2. We have given that the mean…

Q: If a population has a variance of 6.4, what is the variance of the sampling distribution of the…

A: Measure of central tendency measures the central or average value of a dataset. Measured of…

Q: A simple random sample of size n= 40 is obtained from a population with μ= 50 and σ= 4. Does the…

A: Given information- Sample size, n = 40 Population mean, μ = 50 Population standard deviation, σ = 4

Q: The mean height of 15-year-old boys is 175 cm and the variance is 64. For girls, the mean is 165 and…

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Q: Suppose that we draw a sample of size 49 from a population which has an incomplete gamma…

A: From the given information, Consider, X is the random variable that has incomplete gamma…

Q: In a certain vaccination site, the service time for individuals before they were given a vaccine…

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Q: A sporting goods manufacturer claims that the variance of the strength of a certain fishing line is…

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Q: Suppose we are interested in the relationship between an individual’s brown hair and ski color.…

A: From the given information, X: degree of brown hair color Y: degree of skin color

Q: A large fishing farm with thousands of fish has been treating its fish to stop a spreading fungal…

A: Given info: A large fishing farm with thousands of fish has been treating its fish to stop a…

Q: When a production line is properly adjusted, it is found that 4% of the mechanical components…

A: When a production line is properly adjusted, it is found that 4% of the mechanical components…

Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

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Q: Consider two independent random variables X and Y with Means of 17 for the first variable is 1 and…

A: Let the new variable be Z  = 3X  - 4Y   The mean is given by E(Z) =3E(X) - 4E(Y) E(Z) = 3(17) -…

Q: The data from an independent-measures research study produce a sample mean difference of 4 points…

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Q: Let a random experiment be the casting of a pair of fair five-sided dice and let X equal the maximum…

A: Given, 2 fair dice are thrown simultaneously. Each die has 5 sides. X: The maximum of two outcomes.…

Q: Two samples of sizes 25 and 20 are independently drawn from two normal populations, where the…

A: # Given :- Two samples of sizes n1 = 25 and n2= 20 are independently drawn from two normal…

Q: The null and alternative hypotheses for a test are given, as well as some information about the…

A: Solution

Q: With individual lines at its various windows, a post office claimed that the variance for waiting…

A: The given information is- Population variance = 3.2 So, Population standard deviation = √3.2 =…

Q: The null and alternative hypotheses for a test are given, as well as some information about the…

A: The null and alternative hypotheses are: H0:µ1= µ2 Ha:µ1> µ2

Q: A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their…

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Q: Which discrete distribution has a difference between their means and variances equal to zero?

A: Here identifying distribution in which mean and variance are equal

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9 and a mean…

A: The standard normal variate is calculated using the sample mean, population mean, population…

Q: The impact strength of these gears measured in foot-pounds is an important characteristic. A random…

A: Claim : The mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than…

Q: Figure shows side-by-side boxplots of independent samples from three normally distributed…

A: The provided figure is:

Q: What is the absolute difference in the probbility of being less 4 in a triangular distribution with…

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Q: A researcher calculated sample proportions from two independent random samples. Assuming all…

A: Let p^1 be the sample proportion of 1st population and n1 be the sample size. p^2 be the sample…

Q: A business school wants to compare a new method of teaching reading to slow learners to the current…

A: Claim: Average score obtained by the new method is less than the average score obtained by the…

Q: Consider a random variable X that is equal to the sum of the outcomes of a 4-sided dice throw and a…

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Q: Suppose that the fraction of defective modems shipped by a data-communications vendor has an…

A: Given, a=5 b=21 a) The mean and variance of the fraction of defective modems per shipment are…

Q: If a population forms a normal shaped distribution with µ =40 and σ = 8 and a sample of 16 scores…

A: Given: X~Nμ,σμ=40σ=80n=16x¯=36