What is the probability that the mean of a sample with 40 elements randomly selected from a normally distributed population with a mean of 80 and a variance of 600 is greater than 70?

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: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…

A:

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: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: (a) Finding the values of α and β : The random variable X represents the time spent by a randomly…

Q: The omnibus null hypothesis when performing an analysis of variance is that there are differences…

A: In general, the omnibus null hypothesis states that all the group means are the same, which mean…

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: 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: In a tech company, the time it takes for 1 worker to build a PC is a random variable with an AVERAGE…

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Q: 4. What is the name of the additional variance that we can 'factor out' in repeated measures ANOVA?

A: the additional variances that we factor out in repeated measures ANOVA is 'within subject'

Q: What is the maximum error one can expect to make with probability 0.95 when using the mean of a…

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Q: If 40% of items from a production unit contains no flaws, 30% contains 3 flaws, 20% contain 5 flaws…

A: Let X denote the number of flaws. So, the given information is tabulated as- Number of flaws, X…

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: Suppose you throw two dice and take the sum as a discrete random variable. Let us assume you take a…

A: When you throw two dices together, each dice will show a number ranging from 1 to 6 on the side…

Q: From past experience, it is known 90% of one-year-old children can distinguish their mother's voice…

A: Let the random variable X denote the number of children who do not recognize their mother's voice…

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: The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a…

A: Let X denote the weekly salaries of teachers. Given that X follows Normal(mean = 490, SD = 45) Then…

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: he height of women ages​ 20-29 is normally​ distributed, with a mean of 64.3 inches. Assume σ=2.4…

A: The mean is 64.3 inches and the population standard deviation is 2.4 inches.

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: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: GivenMean(μ)=3287variance(σ2)=198025standard devaition(σ)=198025

Q: a batch of rods produced at a plant have a mean length of 151 mm, and a variance of 64. If 116 rods…

A: Z= x¯-μσ/n~ N(0,1)

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

A:

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A:

Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A couple wishes to have children until they have exactly two female children in their _family.…

A: Negative Binomial distribution :  The negative Binomial distribution addressed the number trials…

Q: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: 1) The mean and variance of  gamma distribution is  E(X)=rλ20=rλ       ....(i)V(X)=rλ280=rλ2…

Q: A recent study by the EPA has determined that the amount of contaminants in Minnesota lakes (in…

A: Let X be the amount of contaminants in Minnesota lakes (in parts per million). Given, x ~ N(64,17.6)…

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: Suppose that in a sample of 30 patients, the variance of a randomly selected person having a genetic…

A: From the provided information, Sample size (n) = 30 Variance (σ2) = np (1-p) = 3.7

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: 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: What probability with the average of nine randomly selected individuals from the normally…

A: Given: Population mean(μ)=48 Population variance(σ2)=64 Population standard deviation=σ=64=8 Sample…

Q: The purchase value of transactions at a grocery store is normally distributed with a mean of $244…

A: Here, µ= 244, σ2= 4624. Thus,  X~ N (244, 4624).

Q: Consider a Bernoulli Experiment with 7 trials. If the expected number of “successful” trials is 4,…

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Q: What is the Discrete Variance when sample size is 82 with a probability of 0.82?

A: Formula for variance : Variance = np(1-p)

Q: A random sample of size 100 is taken from a normalpopulation with σ = 25. What is the probability…

A: Suppose a random variable X follows normal distribution with mean µ and standard deviation σ. Then…

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

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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: Two samples each with n =5 scores has a pooled variance = 40. What is the estimated standard error…

A: The formula of the estimated standard error for the sample mean difference is,

Q: Suppose a sample 30 observations is drawn from a population with variance population with variance…

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Q: A team of researchers found that age distributions in a population of 100,000 people was not Normal.…

A: Given that A team of researchers found that age distributions in a population of 100,000 people was…

Q: horses in a large stable have a mean weight of 1354 lbs, and a variance of 9604. What is the…

A: Suppose the horses in large stable have a mean weight of 1354lbs and variance of 9604. X~N (µ=1354,…

Q: The following table shows the results of an analysis of variance comparing three treatment…

A: From the provided information, The total treatment (k) = 3 The degree of freedom (Between) = k – 1 =…

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.…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.