10. Assume the population variance of a random variable is known, but the population mean is not. When using a sample to estimate the population mean, if the sample size is doubled then the variance of the distribution of the sample mean will be halved.

Q: Suppose a population has mean μ = 8 and standard deviation σ = 3.Suppose a random sample of size n =…

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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: 2. The mean weight of 1000 students at a certain high school is 140 pounds and the variance is 100…

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Q: 3. Suppose we are concerned about the variability of the amount of beer in our beer bottles. random…

A: Using chi square value from table of chi.

Q: Suppose it is believed that the probability a patient will recover from a disease following…

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Q: Suppose that a population is known to be normally distributed with mean = 2,000 and standard…

A: GivenMean(μ)=2000stanadard deviation(σ)=230sample size(n)=16

Q: 6. Suppose the mean weight of school children's book bags is 17.5 pounds, with standard deviation…

A: Solution :-

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

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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: A population consists of the four numbers 3, 4, 5, 9 with mean = 5.25 and variance = 5.1875 possible…

A: 1 3 3 3 2 3 4 3.5 3 3 5 4 4 3 9 6 5 4 3 3.5 6 4 4 4 7 4 5 4.5 8 4 9 6.5 9 5 3 4 10…

Q: Suppose that a random variable X is normally distributed with a mean of 200 and a variance of 625.…

A: The random variable X is normally distributed. The population mean is 200. The population variance…

Q: If x represents a random variable with mean 132 and standard deviation 50, then the standard…

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Q: If Random Variable H is getting a head in tossing 4 coins, what is the mean and the variance?

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Q: 2. A biased die is thrown fifteen times and the number of threes seen is four. If the die is thrown…

A: The biased die is thrown 15 times and the number of threes seen is 4. Therefore the mean is np=4…

Q: When simple random samples are drawn from a population that is normally distributed, the sampling…

A: According to the definition of Central limit theorem, the sampling distribution of the sample means…

Q: 1. A sociologist wants to study about the average time children play outdoors nowadays. Tentatively,…

A: Given : mean = 2.5 sample size = 16 Population standard deviation = σ = var…

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: 2. Suppose that the current measurements in a strip of wire are assumed to follow a normal…

A: Let X denote the current measurements in a strip of wire. Given that X follows N(mean = 10, SD = 2),…

Q: If the population mean weight is increased to 100.15 lb, what is the probabilitythat the sample mean…

A: As per given by the question, what is the probability that the sample mean of weight of a sample of…

Q: What value is the probability that the mean of nine randomly selected individuals from a normally…

A: Sampling distribution of the sample mean x¯ ~ N(μx¯ , σx¯)

Q: 4. The weight of a product is normally distributed with a mean of four ounces and a variance of .25…

A: Solution: It is given that the weight of a product is normally distributed with a mean of four…

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: 1. A sociologist wants to study about the average time children play outdoors nowadays. Tentatively,…

A: 1. Given: Hypothesis: The null and alternative hypotheses is given below:

Q: 2. If the mean of the sampling distribution is 24.29, what is the mean of the population? 3. If a…

A: If X follows normal distribution with mean, μ and standard deviation, σ. Then, the sampling…

Q: If X is a random variable with mean 5 and standard deviation 3, then the mean of the random variable…

A: The random variable is X.

Q: Suppose that we have a normal population with mean 7 and standard deviation 4.   What is the…

A: From the provided information, Mean (µ) = 7 Standard deviation (σ) = 4 Sample size (n) = 6

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: he number of times a customer uses an atm has an unknown distribution with mean = 7 and variance =…

A: The probability of observing a sample mean between 6.4 and 6.8 = 0.2184

Q: Suppose that we will take a random sample of size n from a population having mean µ and standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: Suppose X is a random variable with a mean of 10 and a variance of 100. suppose Y is a random…

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Q: If two samples have the same n, then the pooled variance will be the average of the two sample…

A: Statement: " If two samples have the same n, then the pooled variance will be the average of the two…

Q: As the size of a simple random sample is increased, the standard error of the sample mean will…

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Q: Suppose the random variable X has a geometric distribution with p=0.7. Find P(X>1) ?

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Q: 3. Suppose that the student's standard test on a given year had a normal distribution with mean of…

A: Solution: Given data:  Mean = 800 Variance = 100 It follows  normal distribution

Q: 26. Given an infinite population with mean 10 and variance 100, then the sampling distribution of…

A: Based on the provided information, the following values are known. Population mean, μ=10 Population…

Q: For a normally distributed random variable the standard deviation is 3.7 what is the mean if 10% of…

A: Given that, σ=3.7 Consider that 10% of the distribution is less than 31.

Q: Suppose that a random variable X is normally distributed with a mean of 200 and a variance of 625.…

A: We have given that a random variable X is normally distributed with a mean of 200 and a variance of…

Q: Suppose the current measurements made on a conductor wire track follow a normal distribution with…

A: Given, Suppose the current measurements made on a conductor wire track follow a normal distribution…

Q: Suppose that we will take a random sample of size n from a population having mean µ and standard…

A: It is given that the population mean is 559, the standard deviation is 0.3 and the sample size is…

Q: Suppose that the age of a randomly selected business major can be considered to be a random variable…

A: We have given that  The age of a randomly selected business major can be considered to be a random…

Q: 6- The variance of the sum of the random variables equals the sum of the variances if the random…

A: HERE ,  take two random variable x  and y  here given two variable X and Y are uncorrelated

Q: Suppose that a random variable X is normally distributed with a mean of 200 and a variance of 625.…

A: Given that X follows a normal distribution with mean=200 and variance= 625 So standard…

Q: Suppose it is believed that the probability a patient will recover from a disease following…

A: Given that the probability a patient will recover from a disease following medication is 0.8.…

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…

Q: Suppose that the time spent online to do homework by a randomly selected student has a gamma…

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Q: Suppose that 8% of all males suffer some form of color blindness. 350 men are sampled. a. What is…

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