A simple regression of y vs x reveals, for n = 22 observations, that r = 0.73. The standard deviation of x is 2.3. The regression sum of squares is 1324. What is ihe value of the standard deviation of y? What is the value of the slope, b?

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(0…

A: The mean is 0 and the standard deviation is 1.

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 9.5 fluid…

A: A random sample of 1000 oranges showed that the mean amount of juice per orange was 9.5 fluid…

Q: The heights (in inches ) of males in the U.S. are believed to be normally distributed with mean μ.…

A: Sample size (n) = 25 Mean (x̅) = 69.72 inches Standard deviation (s) = 4.15 inches

Q: In a sample of 13 randomly selected high school seniors, the mean score on a standardized test was…

A: Given information, x¯=1185s=160.7μ=1016n=13 t value: t=x¯-μsn =1185-1016160.713  =3.79

Q: A researcher at a major hospital wishes to estimate the average cholesterol level of the adult…

A:

Q: A score that is 12 points below the mean corresponds to a z-score of z= -1.50. What is the standard…

A: Given that, A score that is 12 points below the mean corresponds to a z-score of z= -1.50.

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

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

Q: A variable is normally distributed with a hypothesized population mean of 53 and a standard…

A:

Q: On an exam with a mean of M = 98, you obtain a score of  X= 90. Would you prefer a standard…

A: It is not known whether the distribution of the score is symmetric or not. Hence ,we cant use…

Q: Explain why it makes sense that the standard deviation of X is in the denominator of the formula…

A: Standard deviation of X merely serve to scale the units of the coefficients and standard errors in…

Q: Q4. The standard deviation of the temperature in a large refridgeratored room should not exceed…

A:

Q: The height (in inches) of males in the U.S. are believed to be normally distributed. the average…

A: The sample standard deviation s is equal to the standard deviation of the population sigma divided…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A:

Q: The heights(in inches) of males in the U.S. are believed to be normally distributed with mean. The…

A: Given: Standard deviation (s) = 4.15 Sample size (n) = 25

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: Given: Formula: Let "x" be the height of adult men

Q: Find the standard deviation of the reaction times. 0.7

A: Let X denote the reaction times of a drug. We have to calculate the SD of sample of size n = 12

Q: What raw score is needed to be in the bottom  28%? A group of students take a exam and the adverage…

A: Given that, For a normally distributed random variable, X with mean μ, and standard deviation σ, the…

Q: In a study conducted at a local school, it was found that their students spent an average of u =4.61…

A: Given: μ = 4.61σ = 0.96X = 3

Q: Suppose that you have a X= 75 on an exam with Ú=70. Which standard deviation would give you a better…

A: Given : Suppose that you have a X= 75 on an exam with Ú=70

Q: Assume that the distribution of residuals is approximately normal with mean 0c m and standard…

A:

Q: A small pilot study was conducted to compare cholesterol levels in individuals before and after a…

A: Preliminary calculation:Using the EXCEL formula “=NORM.S.INV(1– (0.05/2))”, the z-value for 95%…

Q: A random sample of 1000 oranges showed that the mean amount of juice per orange was 5.9 fluid…

A: Given, A random sample of 1000 oranges showed that the mean amount of juice per orange was 5.9 fluid…

Q: For a population with a standard deviation of o = 12, a score of X = 44 corresponds to z = -0.50.…

A:

Q: If  X  is a normal variate with mean 300 and standard deviation 15, the Z value associated with X=…

A:

Q: Suppose it is desired to estimate the variance of the tensile strength of a particular type of…

A: Given: The sample pieces of a particular type of thread is n=21. The provided calculation is given…

Q: The average number of acres burned by forest and range fires in Malibu is 6,300 acres per year, with…

A: It is given that the mean is 6,300 and the standard deviation is 1,750.

Q: Using this information, what was the residual standard deviation (Se) found in your analysis?

A: Here given , analyzing a dataset of 77 data points investigating relationship between the number of…

Q: A nurse at a local hospital is interested in estimating the birth weight of infants. How large a…

A:

Q: The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u…

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: The lengths of a large stock of titanium rods follow a normal distribution with a mean (u) of 440 mm…

A: Given that, The lengths of a large stock of titanium rods follow a normal distribution with a mean…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(0…

A: We have given that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.

Q: Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg,…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer first…

Q: A population of 25 scores has a sum of squared deviations value of SS = 219.04. What would be the…

A: We know that the population standard deviation is given by; σ=1N∑i(xi-μ)2=SSN

Q: A firm knows from its past experience that its monthly average expenses (X) on advertisement are Rs…

A:

Q: For a population with a standard deviation of σ = 14, a score of X — 24 corresponds to z — 0.50.…

A: Given that, The population standard deviation (σ ) is 14 The score of X is, 24 The z-score is,…

Q: A lab technician is tested for her consistency by making multiple measurements of the cholesterol…

A: Solution: Given information: n=12 Sample size  σ= 1.2 mg/dL  Population standard deviation  s= 1.5…

Q: Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(z…

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

Q: The standard deviation of measurements of a linear dimension of a mechanical part is 0.14 mm. What…

A:

Q: A sample of n = 5 scores has a standard deviation of s = 5. What is the value of SS, the sum of the…

A: Given Information: n = 5  s = 5

Q: The revenue of a  shop is approximately normally distributed with a mean of $4500 and a standard…

A:

Q: For a sample with a standard deviation of s = 8, a score of X = 42 corresponds to  z = –0.25 what is…

A:

Q: For a population with a mean of μ = 70, a score of X = 64 corresponds to z = −1.50. What is the…

A:

Q: A major credit card company has determined that the amount its customers charge on their accounts is…

A: (15) Obtain the proportion of customers charge more than R2750 per month on their account. The…

Q: An instructor gives his class an achievement test which, as he knows from years of experience,…

A:

Q: Here * denotes the lost values. If it was known that the mean of the marks was 56 and the standard…

A: The combined mean is given by

Q: Find P(11<X<15) If X is normally distributed with a mean of 14 and a standard deviation of 2?

A:

Q: For all parts of this problem, assume that the weights of tomatoes are normally distributed with a…

A: That means X follows N(1.8, 0.472)

Q: The human population has a mean IQ score of u = 100 and a standard deviation ofo = 15. Find the z-…

A: The formula of z score is:

Q: On an exam with a standard deviation of σ = 6, Tom’s score of X = 54 corresponds to a z-score of z =…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.