Suppose you are taking samples from a normal distribution with mean 7 and variance 9. If you observe 10 values, what is the probability that x will be between 6 and 8 ? a. P(6< x 8)=0.7062 b. P(6< x 8)=0.902 c. P(6< x 8)=0.4000 d. P(6<: x 8)=0.3062

Q: For the majority of maths tests taken at a school, it is shown that the test score is approximaly…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: Consider an ETNB distribution with r = -0.25 and ß = 1. Determine the probability of the ETNB for…

A:

Q: 8. For the following annual cash-flow estimates, find the E(PW), V(PW), and SD(PW) of the project.…

A:

Q: A population was found to have a mean of µ =75 and standard deviation of σ =2.3. If you took every…

A: Given information- Population mean µ = 75 Population standard deviation, σ = 2.3 Sample size, n = 10

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A:

Q: What is the z score of x=30 if x is three deviations to the left of the mean?

A: From the provided information, x = 30 and it is three deviations to the left of the mean.

Q: Using z scores, a population with u = 37 and o = 6 is standardized so that the new mean is u = 50…

A:

Q: if x is distributed as normal with mean 40 and variance 9 what is P x=40 is

A: We have given  Mean(µ) = 40 Variance (σ2) = 9 Standard deviations (σ) = √Variance (σ2) = √9 Standard…

Q: Problem. For a standard normal distribution, find the percentage of data that are more than 2…

A: To find the given percentage.The standard Normal distribution is given below. It has mean is 0 and…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…

A: CorX,Y=0.75VX=VY=36W=2X+3Y

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&lt;170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…

Q: An IQ of 140 is converted into a z-score of z=1.40. what proportion of the normal distribution is…

A: Given : An IQ of 140 is converted into a z-score of  Z = 1.40

Q: For a sample with M = 10 and s = 2, a score of X = 13 would be considered an extreme score, far out…

A: According to range rule thumb if any observation is less than M – 2s, or greater than M + 2s, then…

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: Suppose samples of size 100 are drawn randomly from a normal population that has a mean of 20 and a…

A: It  is given that, a normal population that has a mean of 20 and a standard deviation of 5  i.e.…

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: Suppose you know that the distribution of sample proportions of nonresidents in samples of 200…

A: Let p^ denotes the sample proportion which follows normal distribution with mean 0.46 and standard…

Q: If 446 rods are sampled at random from the batch, what is the probability that the mean length of…

A: Here we have given information, A batch of steel rods produced at a steel plant have a mean length…

Q: For a sample of n = 20 scores, X = 25 corresponds to z = -1.20 and X = 40 corresponds to z = +1.80.…

A: Given information: The sample size, n is 20. When, X=25 the corresponding Z is -1.20 When X=40 the…

Q: For any quantitative population with a finite variance, the proportion of data points less than 2…

A: Given :- For any quantitative population with a finite variance, the proportion of data points less…

Q: If C.V.=11. 23 and variance is 6.7832 then mean = a. 0.231919 b. 0.60402 c. 60.4024 d. 23.1919

A: Given information- Coefficient of variation, C.V. = 11.23 Variance, σ2= 6.7832 Therefore, the…

Q: An original population of scores with a mean = 50 and SD = 6 is standardized to create a new…

A: given data  1 represents original population 2 reperesents new distributionμ1 = 50μ2 = 80σ1 = 6σ2 =…

Q: The researchers of a study wish to compare the proportion of participants in two samples that…

A: From the provided information, Confidence level = 95% Margin of error = 0.3

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

A: The formula of the standard error of the mean is,

Q: One sample of n = 4 scores has a mean of M = 12, and a second smaple with n = 6 scores has a mean of…

A:

Q: What is the ∑X for this sample

A: A sample of size is denoted by n. mean is nothing but the average of given sample observations. Here…

Q: A population of N= 10 scores has a mean ofµ=6. After one score is removed, the mean is found to be…

A:

Q: Suppose X has a normal distribution with mean 30 and standard deviation five. Between what values of…

A: Empirical rules:1) P(μ-σ&lt;X&lt;μ+σ)=68%2) P(μ-2σ&lt;X&lt;μ+2σ)=95%3) P(μ-3σ&lt;X&lt;μ+3σ)=99.7%

Q: population of N = 10 scores has a mean of µ = 6. After one score is removed, the mean is found to be…

A: given data  population size (N) = 10 population mean ( μ) = 6 after removing one score : new mean =…

Q: A sample of n = 9 scores has SS = 72. The variance for this sample is s2 = 9. True or False

A: Given sample of n = 9 scores has SS = 72.

Q: (a) Compute a 95% CI for µ (b) Compute a 99% CI for µ. (c) Which of the two intervals has bigger…

A: Xbar=20.1, n=50, variance(sigma^2)=10

Q: a. Build a clearly labeled chart that illustrates the percent of the budget that goes into each…

A: Given a table that shows federal expenditure , we need to use graphical methods to depict the…

Q: Suppose X, the grade on a midterm exam, is normally distributed with mean 80 and standard deviation…

A: Given information- Population mean, μ = 80 Population standard deviation, σ = 10 Suppose X is the…

Q: For a population with  = 15, a raw score of X = 82 corresponds to z = -0.60.  What is the mean for…

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