The area covered by 1 L of a certain stain is normally distributed with mean 10 sq.m and a variance of 0.04 sq.m. What is the standardized score of the random variable taking a value of 10.62 sq.m? O 0.93 O 5.13 O 3.1 O 1.4

Q: Consider the experiment of selecting a point at randomin a circle of radius 1.5, and let X be the…

A: All regions inside the circle have equal probability of having the point. Thus X~U(0,1.5). The p.d.f…

Q: A random sample of 25,000 ACT test takers had an average score of 23 with a standard deviation of…

A: Given,n = 25,000μ = 23σ = 10σx = 0.06325z-value at 95% confidence is zc = 1.96Margin of Error (t) =…

Q: In drilling a vertical wellbore, the spacing between major fractures are recorded. It has been found…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

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: A random sample of 10 subjects have weights with a standard deviation of 11.4348 kg. What is the…

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Q: A simple random sample of 100 observations was taken from a large population. The sample mean and…

A: Given Data: n=100 Mean=80 Variance=144

Q: Obtain the area between 25 and 39 under a normal curve with a mean of 55 and a variance of 36.

A: The normal probability is a type of continuous probability distribution that can take random values…

Q: A random sample of 10 subjects have weights with a standard deviation of 12.0718 kg. What is the…

A: Given: Standard deviation = SD = 12.0718

Q: A simple random sample of 16 adults drawn from a certain population of adults yielded a mean weight…

A: We have given that  Sample size n = 16Sample mean = 63 Variance = 49 Population Standard deviation =…

Q: Show that adding a constant K to a random variable increases the average by K but does not change…

A: Suppose I have  a below data For random variable X 2,5,8,4 consider k= 2 Average of 2,5,8,4 using…

Q: Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…

A: Given Data: Let X represent the height of the maple tree P(X<150)=0.3 σ=64=8

Q: The null hypothesis asserts that the variance is less than 6. A random sample size of 26 is drawn…

A:

Q: An auto manufacturer claims that the variance of the gas mileage in a model of a hybrid vehicle is…

A:

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: An article reports that men over 6' tall earn more than man under 6' tall with these numbers average…

A:

Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…

A: Given that,  P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…

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: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: We have find normal distribution..

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

A: Given Information: To find out the variance of x.

Q: The test of equality of the variances between two normally distributed populations relies which has…

A: We have to find the distribution of random variable which is used in testing the equality of…

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 average energy intake of working adults is 1768.8 kcal with a standard deviation of 12 kcal.…

A:

Q: A random sample of 10 subjects have weights with a standard deviation of 12.2153 kg. What is the…

A:

Q: Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

A:

Q: e, the normal distribution is used to approximate the sampling distribution of the sample proportion…

A: The sampling distribution of the sample proportion is approximately normal with at least 10 expected…

Q: A sample of n = 25 scores has a mean of x̅ = 65 and an estimated standard error of sx̅ = 2 points.…

A: The standard error is 2 points.

Q: Scores made on a certain aptitude test by nursing students are approximately normally distributed…

A: Given:-   mean(μ) =500variance (σ2) =10000standard deviation(σ) = 10000 =100we have to calculate…

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

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Given information- Mean waiting time, μ = 6 minutes Variance of the waiting time σ2 = 9 minutes So,…

Q: Calculate the mean and variance of this distribution using the MGF obtained in (a).

A:

Q: An article reports that men over 6 ft tall earn more than men under 6ft . with these numbers:…

A: From the provided information, The hypotheses for this test can be constructed as: H0: µ1 = µ2 H1:…

Q: Compute the mean and variance of a random variable whose distribution is uniform on the interval [a,…

A: Given: Consider a random variable X following Uniform distribution with the range a and b. The…

Q: A/A batch of 2500 resistors is normally distributed, with a mean resistance of 1.5 ohms and a…

A: Note:-Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Based on a random sample of 25 units of product X, the average weight is 102 lbs., and the sample…

A: Solution: Let X be the weight of product X. From the given information, x-bar = 102 lbs, S=10 lbs…

Q: Find the pooled variance for the two samples. Compute the estimated standard error for the sample…

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Q: The standard error of the sample mean of sample size n from a populatțion with variance o is Vn

A: Answer: For the given question, Proof:

Q: Let X be a random sample from Exp(e). a. Find the CRLB for variance of any estimator b. Find CSS. c.…

A:

Q: Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.

A: The probability distribution function for a uniform distribution in interval a,b is given by…

Q: It is known that the average weight of babies born in a maternity ward is 3.2 kg and the variance of…

A: Given that μ=3.2kgσ2=0.09 kg2σ=0.3 kg a) Consider, the probability of babies weigh more than 4 kg…

Q: The lifetime of a light bulb is normally distributed with the mean 3000 hours and a variance of 1392…

A: We have given that,  The lifetime of a light bulb are normally distributed with mean (Mu) = 3000…

Q: A Random Sample Of Size 25 Is To Be Selected From A Normal Population Having A Mean Of 81 And A…

A: Given that Population mean=81 Variance =9

Q: A study was done on body temperatures of men and women. The results are shown in the table. Assume…

A: Statistical Software Output:

Q: A random sample of 10 subjects have weights with a standard deviation of 13.0649 kg. What is the…

A:

Q: Assume the probability that a maple tree at age 10 grows less than 110 cm is equal to 0.4. If the…

A:

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

A: Given that, A sample of final exam scores is normally distributed with, Mean = 20 Variance = 25

Q: A fishing line manufacturer tests the breaking stain of his products. He has found that, for a…

A: Given,mean(μ)=21.5standard deviation(σ)=1.5

Q: For a random variable X with standard deviation 5, Variance of 2x + 4 is

A: It is given that, Standard deviation of X is 5 Now, The variance of X is =52=25