Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we plan a sample of size 6 from from population A and a sample of size 12 from population B which we will pool to form the pooled variance. If you know the population variances are both in fact equal to 14, what is the probability that the pooled variance of the two samples will turn out to be less than 17 given

Q: Suppose that it is known that the number of items produced in a factory during a week is a random…

A: Given X: Week's Production μ = 50σ2 = 25 ⇒ σ=5

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

A: Given that the two  disjoint populations A and B with equal but unknown variances. The sample size…

Q: A random sample of size n = 244 is taken from a population of size N = 5,200 with mean μ = −73 and…

A:

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: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: 1] μ1=1752] μ1=1653] σ12=644] σ22=645] n1=86]  n2=8

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

A:

Q: If the range of X is the set {0,1,2,3,4} and given that each outcomes are equally like to occur,…

A:

Q: Suppose that Joe is sampling the weight of fish in my pond and he knows that the sample mean for…

A:

Q: On the basis of past experience, the store manager of a clothing store estimates the probability…

A:

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: Given, Mean height of boys is 175 and variance is 64 Mean height of girls is 165 and variance is 64…

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

A:

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: One sample has SS = 70 and a second sample has a. If n = 8 for both samples, find each of the sample…

A: First Sample : SS = 70 Second Sample: SS = 42   Variance =SSn-1

Q: A random sample of size 100 is taken from an infinite population having the mean 76 and variance…

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

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

A:

Q: If repeated random samples of size 50 are taken from an infinite population, the distribution of…

A: Central limit theorem:   If the size of the samples taken from the population are sufficiently…

Q: Suppose Bob rolls a fair die 100 times and X = number of 1's he gets. What is the variance of X?

A: Given: n = 100 P( obtaining a 1 on die) = 1/6 = p X = number of 1's obtained

Q: Suppose that we draw a sample of size 49 from a population which has an incomplete gamma…

A: From the given information, Consider, X is the random variable that has incomplete gamma…

Q: Suppose that 1 in 1,000 doctors make an incorrect diagnosis of a patient’s illness. If 10,000…

A: It is given that 1 in 1000 doctors make an incorrect diagnosis of a patient’s illness. Therefore,…

Q: It is reasonable to model the number of winter storms in a season as with a Poisson random variable.…

A:

Q: Two separate samples are selected from the same population. Each have an n=8. Both samples receive a…

A: Given that,  SS1=16,SS2=24,n1=8,n2=8 The formula for calculating the pooled variance is,

Q: In 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: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…

A: Given that.   X~N( μ , ?^2 )   μ=240     , ?=20   Z-score =( x - μ )/?

Q: Suppose it is known that in a certain large human population cranial length is approximately…

A:

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: 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: 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 bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?

A: For a fair coin the probability of getting head= 0.5X=number of headsn=sample size=100p=probability…

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

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Q: Show that (1) the mean value of a weighted sum of random variables equals the weighted sum of the…

A:

Q: Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625.…

A: Given: μ=3685σ2=330625

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

A: Given Data: n1=4        n2=9σ12=6        σ22=6   Calculating population pooled variance:…

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

A:

Q: If a population forms a normal shaped distribution with µ =40 and σ = 8 and a sample of 16 scores…

A: Given: X~Nμ,σμ=40σ=80n=16x¯=36

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: From the given information, Consider, x be the height of boys and y be the height of girls.…

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: 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: 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 age of a randomly selected business major can be considered to be a random variable…

A: Given, Mean μ = 20Standard deviation σ = 2Sample size n = 64

Q: Suppose that you take a sample of size 40 from a population that is normally distributed. Can the…

A:

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

A:

Q: If X is a normally distributed random variable with mean equal to 1 and standard deviation σ and if…

A:

Q: a population has a variance of 6.4, what is the variance of the sampling distribution of the means…

A: variance  = 6.4 standard deviation = 6.4                                 =2.5298

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.