The test of equality of the variances between two normally distributed populations relies which has a(n) s lo on the random variable

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: At another park, at a random selected time, there were 80 individuals having a picnic. It was found…

A: From the provided information, Sample size (n) = 80 40% of them were fully vaccinated that is p =…

Q: 1.) enumerate the steps for a hypothesis test for a population mean when the variance is known.

A: STEPS FOR HYPOHESIS TEST FOR A POPULATION MEAN 1) State the hypothesis i.e. Null and Alternative…

Q: If the population has a variance of 4.6, what is the variance of the sampling distribution of its…

A: If the population has a variance of 4.6. We need to find the variance of the sampling distribution…

Q: Steel produced by company A has an average tensile strength of 4500 lbs and a variance of 40000 lbs,…

A: Solution: Given information: nA= 50  Sample size of company A nB= 100 Sample size of company  B μA=…

Q: A sample of 6400 cases is drawn at random from a large population. The Variance is 100. Calculate…

A: Sample size, n = 6400 Variance = 100 Standard deviation = VarianceStandard deviation = 100Standard…

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: Suppose X has finite variance. Let Y = |X|. Does Y have the same, a smaller, or a larger variance…

A: Given that X has finite variance i.e. var(x)<∞ Let Y =|X| that means Y can take 2 values i.e. X…

Q: If random samples, each with n = 4 scores, are selected from a normal population with μ = 80 and σ =…

A: Given,   Sample size = 4 Mean = 80 Standard deviation = 10   The objective is to find the standard…

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

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

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Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

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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: If the outcomes of a discrete random variable follow a Poisson distribution, then their: a. median…

A: We know that  if λ is the average number of successes occurring in a given time interval or region…

Q: two independent random samples of size n1 = n2 = 8 come from normal populations with the same…

A: Given: Sample size n1 = n2 = 8 Ps12 ≥  7s22 needs to be calculated.

Q: If the probability of a defective article is 1/10, find the Mean, Variance, Momer Coefficient of…

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Q: Can a binomial random variable X have a mean = 7 and the variance 11. Why or why not?

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: A production manager at a wall clock company wants to test their new wall clocks. The designer…

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Q: If the sick leave time of employees in a firm in a month is normally distributed with a mean of 50…

A: Given, μ = 50σ2 = 100σ = 10The distribution is normal distribution     To find, The standardization…

Q: The mean of a normally distributed random variable is always bigger than its standard deviation.…

A: FALSE.  Explanation: Generally, the mean of a Normal distribution is higher than the standard…

Q: Two samples are selected from a population, and a treatment is administered to the samples. If both…

A: Introduction: It is given that the two samples are collected separately, from the same population;…

Q: If the sick leave time of employees in a firm in a month is normally distributed with a mean of 50…

A: This question is related to Distributions. The solution to the given question is explained below.

Q: In practice, when comparing two means using small samples, when would you recommend assuming equal…

A: We have to find current option from the given options.

Q: If all other factors are held constant, an increase in the variance of the D scores (in a repeated…

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Q: What is the probability that the mean of a sample with 40 elements randomly selected from a normally…

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Q: Calculate how much difference is expected, on average, between two sample means if: n1 = 12, n2 =…

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Q: The filling machine at a bottling plant is operating correctly when the variance of the fill amount…

A: The variance of the fill amount in ounces is equal to 0.3. The number of sample bottles is equal to…

Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: O A. median…

A: Correct answer is (C) mean equals the variance

Q: when comparing the means of samples from two normally distributed populations, if the samples are…

A: Conditions for using z-test is,The samples are randomly selected.The samples are independent.Sample…

Q: A statistics test of 82 multiple-choice questions is to be given to all second year engineering…

A: Given that the population of all second year engineering students at this university, the…

Q: The claim that the variance of a normal population is σ2 = 4 is to be rejected if the variance of a…

A: Given: Sample size (n) = 9 Population variance = = 4 Point at which the claim is rejected =  s2…

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: n a normally distributed population with a mean of 50 and a variance of 64, luck samples of n = 9…

A: It is an important part of statistics. It is widely used.

Q: If the random variable X has a general normal distribution with a mean of 3 and a variance of 9.…

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Q: A random sample of size 16 is to be taken from a normal population having mean 100 and variance 4.…

A: Sample size = 16 Mean = 100 Variance = 4

Q: A normally distributed random variable has a mean of 140 and a variance of 2575. What is the…

A: μ = 140σ2=2575→σ = 2575 = 50.74

Q: Suppose that X1, X2, X3 and X4 are all independent random variables, each with a normal…

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Q: A pencil manufacturer claims that its pencils have lengths that are normally distributed with a mean…

A: From the provided information,

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: Test the claim that the samples come from populations with the same mean. A ssume that the…

A: As given,  It is assumed that the populations are normally distributed with the same variance.  The…

Q: Consider two independent samples — the first of size 10 from a normal population having variance 4…

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Q: In case of hypothesis testing in places where population variances are unknown and sample size is…

A: Here we have given the multiple choice question about the hypothesis testing. The question is,    In…

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: One sample has n = 10 scores and a variance of s2 = 20, and a second sample has n = 15 scores and a…

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Q: It is not essential to know the value of the population variances to test for the equality of two…

A: Solution To test the equality of means the F test is used .

Q: Show that the variance of a weighted sum of uncorrelated random variables equals the weighted sum of…

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Q: Suppose that we have disjoint normal populations A and B with equal but unknown population…

A: Given Information: Sample size (n1) = 12 Sample size (n2) = 6 Sample variance (s12) = 25 Sample…