A lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement. a. Calculate the variance of (x)

Q: Compute for the variance of all the data on Table 2. Show your solution and  answer inside the box.…

A: Given are three sets of data, namely for student A, B and C: Enter data in Excel and calculate mean…

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: Let X1, X2, and X3 be uncorrelated random variables with common variance o2. Find the correlation…

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Q: Suppose that the number of customers who enter a bank in an hour is a Poisson random variable, and…

A: Given problem Given that   Suppose that the number of customers who enter a bank in an hour is a…

Q: Find the mean and variance of the numbers generated by rolling two die and counting the sum of the…

A: We have given that the two dice are rolled. Total number of possible outcomes = 36 The sample space…

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

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

Q: . Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with…

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Q: In its journey a bus passes through 5 traffic lights, each light has the same probability of being…

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Q: In order for a new drug to be sold on the market, the variance of the active ingredient in each dose…

A: Solution: State the hypotheses. Null hypothesis: That is, the variance of the drug in the tablets…

Q: Bolts are manufactured with a nominal length of 5 cm, and it is known from past experience that the…

A: Given data: 5.68 , 5.13 , 5.82 , 5.71 , 5.36 , 5.52 , 5.29 , 5.77 , 5.45 , 5.39

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: A soft-drink dispensing machine is said to be out of control if the variance of the contents exceeds…

A: Null hypothesis: H0:σ2≤1.15 Alternative hypothesis: H1:σ2>1.15 The value of the test statistic is…

Q: The central limit theorem can be used to analyze round-off error. Suppose that the roundoff error is…

A: The mean and variance of uniform distribution can be obtained as:

Q: Let X be a binomial random variable that is binomially distributed with a mean of 9 and a variance…

A: binomially distributed with a mean of 9 and a variance of 6. Find q =?

Q: Suppose that the monthly demand for a consumer good follows a normal distribution with an average of…

A: From the given information, Consider, X that the monthly demand for a consumer good follows a normal…

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: A manager of a computer store knows that 19% of PC sold out returned to his store for repair within…

A: We want to find the probability that at most two of these PCs have returned for repair? Find the…

Q: Find the variance of the random variable x ?

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Q: Describe Decomposition of the variance in Y?

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Q: A survey found that 0.05% of the people in a city are infected by the COVID virus. If we randomly…

A: Given that , probability, p= 0.05% = 0.0005 n= 5000 So,  X~ binomial (5000,0.0005) Hence, mean = np…

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: Suppose that the number of customer that enter a bank in an hour is a Poisson random variable, and…

A: Let X be poison random variable P(X=0)=0.05 variance of X=?

Q: A park ranger is searching for bears in a region of the park where on average there are 5 bears per…

A: Given that there average of 5 bears per square mile. Let us define X as the number bears per square…

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

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Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

Q: An analysis of variances produces dftotal = 29 and dfwithin = 27. For this analysis, what is…

A: According to the given information, we have dftotal = 29dfwithin = 27

Q: A soft-drink dispensing machine is said to be out of control if the variance of the contents exceeds…

A: Given Information: Sample size (n) = 25 True population variance σ2=1.15 Sample variance s2=2.03…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

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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: Last year the average cost of making a movie was $54.8million.This year a random sample of 15 recent…

A: Given that, Sample size n=15 Sample mean production cost x¯=62.3 Sample variance s2=90.25 Sample…

Q: filling line. The machine that dispenses salad dressings is working properly when 8 ounces are…

A: Here one sample t test is applicable

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and…

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Q: 2. Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has a mean…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The number of passengers on a bus follows a negative binomial distribution with parameters r = 2 and…

A: From the given information, The number of passengers on a bus follows a negative binomial…

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: Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the…

A: Assume a random variable X, which is the weight of a particular type of ripe tomato.

Q: Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

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: A survey found that 0.07% of the people in a city are infected by the COVID virus. If we randomly…

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

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Q: 2- The variance can never be: a) Zero b) Smaller than the standard deviation

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

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Q: Assume a population with 5 elements: X1-0, X2-1, X3-2. X4-3.x5-4 Calculate mean and variance of X…

A: Given information: The population is of size 5. It is required to draw samples of size 3 with…

Q: Bolts are manufactured with a nominal length of 5 cm, and it is known from past experience that the…

A: Given: Sample size n = 10 Population variance σ2 = 0.05 Population standard deviation σ = 0.05 =…

Q: Suppose Y is a continuous random variable with uniform distribution having mean 1 and 4 What is P(Y…

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Q: A courier service company has found that their delivery time of parcels to clients is approximately…

A: Given , Mean = 30 , variance = 25