ind the​ Z-scores that separate the middle 33​% of the distribution from the area in the tails of the standard normal distribution.     The​ Z-scores are

Q: The standard normal distribution is also called a finite distribution because its mean is zero and…

A: Standard normal distribution: Standard normal distribution is the normal distribution with mean as 0…

Q: Assume that the time that will be taken to complete this assignment is a random variable with a…

A: μ=8 hoursσ=1 hour The z-score is given by, z=x-μσ

Q: Use a table of cumulative areas under the normal curve to find the z score that corresponds to the…

A: The cumulative area is 0.053.

Q: Find the area in the left tail more extreme than z=-2.69 in a standard normal distribution.

A: Given, Let the area in the left tail more extreme than z=-2.69 is x. P(z<-2.69 ) = x

Q: Use a table of cumulative areas under the normal curve to find the​ z-score that corresponds to the…

A: From the provided information, The area of 0.052 is to the left of z score.

Q: use a table of cumulative areas under the normal curve to find the​ z-score that corresponds to the…

A:

Q: What is the total area under the normal​ curve?   -it depends on the standard deviation? or 0.5 or…

A: Normal​ curve: It is the bell-shaped curve. Normal curve is symmetric about mean.  For the normal…

Q: Use a table of cumulative areas under the normal curve to find the​ z-score that corresponds to the…

A: Given Data: p=0.045   Let x be the corresponding z-value   P(z<x)=0.045

Q: The household income in a particular town can be represented by a normal distribution with a mean of…

A: Solution: Let X be the  household income in a particular town has normal distribution with mean…

Q: Find the  z  value to the left of the mean so that  91.15%  of the area under the distribution…

A: Obtain the value of Z that lies to the left of the mean.   The value of Z that lies to the left of…

Q: any normal distribution, a z-score of z = -1 separates the highest 68% of the scores from the rest…

A: Given that  A z-score of z = -1 separates the highest 68% of the scores from the rest of the…

Q: Bryse is 27 years old. Based on a normal distribution with mean 47.8 years and standard deviation…

A: GivenBryse is 27 years oldx=27Mean(μ)=47.8standard deviation(σ)=12.6

Q: The weight of cargo boxes that goes into a certain warehouse follows a normal distribution. A sample…

A: Central limit theorem: For the samples with mean μ and standard deviation σ, as sample size…

Q: Consider the normal distribution with mean 60 and standard deviation 5. Find the area under the…

A: Solution :-

Q: What proportion of the data from a standard normal distribution has a value between 0.26 and 0.95?…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: In Normal distribution, the highest value of ordinate occurs at O Mean O Variance Same value occurs…

A: The question is about property of normal distribution

Q: Use the Cumulative Normal Distribution Table to find the:-score for which the area to its left Is…

A: Intro: A z-score describes the position of a raw score in terms of its distance from the mean, when…

Q: Find the z value to the left of the mean so that 99.09% of the area under the distribution curve…

A:

Q: The lengths of human pregnancies are approximately normally distributed, with mean μ=266 days and…

A:

Q: Find the z-score, to the nearest hundredth, that satisfies the given condition. 0.189 square unit…

A: Given that 0.189 square unit of the area of the standard normal distribution is to the right of z.…

Q: Calculate the value of a normal random variable representing the top 30% of an approximately normal…

A:

Q: For normal distribution with a mean of 4 and a standard deviation of 2, the value 5 has a z value of…

A: Mean, μ = 4 Standard deviation, σ = 2 Raw score, X = 5

Q: For a standard normal distribution, find the probability that a value is greater than 0.68 standard…

A: value is greater than 0.68 standard deviations below the mean and less than 2.99 standard deviation…

Q: The probability that a randomly selected sociology major received a starting salary offer less than…

A: It is given that the mean is 43256 and standard deviation is 3150.

Q: What z-score marks / cuts off the bottom 20% (approximately) of the standard normal distribution?

A: From the provided information, The z score cuts off the bottom 20% of the standard normal…

Q: For a normal distribution, find the probability that falls within 0.47 standard deviations of the…

A:

Q: Use a table of cumulative areas under the normal curve to find the​ z-score that corresponds to the…

A: Z-score: The z-score value is a numerical measurement that describes a value of the relationship to…

Q: For a normal distribution, find the z- score for which a total probability of 0.71 falls more than z…

A: Solution-: Given: Probability of 0.71  falls more than z standard deviations (in either direction)…

Q: Find the probability that a normal variable takes on values within 0.5 standard deviations of its…

A: To find the probability that a normal variable takes on values within 0.5 standard deviations of its…

Q: For a standard normal distribution, find the probability that a value is greater than 1.2 standard…

A: Obtain the probability that a value is greater than 1.2 standard deviations above the mean. The…

Q: A skewed population of scores can be transformed to the standard normal distribution by converting…

A: Z scores: The Z scores just implies how much standard deviation the data value is away from the mean…

Q: What percent of the area under the curve of the standard normal distribution is outside the interval…

A: Given that, Z interval = [-1.4, 1.4]

Q: f the shaded region of the standard normal distribution that is going to the right is equal to…

A:

Q: Use the standard normal table to find the z score that corresponds to the cumulative area 0.5458. Of…

A: The cumulative area is 0.5458.

Q: On a standard normal distribution what percentage of scores lie within 0.75 standard deviations on…

A: The probability of scores  that lie within 0.75 standard deviations on both sides of the mean is…

Q: A region to the left of the y-axis under the standard normal distribution curve will have a negative…

A: For the standard normal distribution, the mean is 0 and the standard deviation is 1.  The mean is…

Q: Suppose a continuous variable can take on values between -1 and +1, what is the nder the probability…

A: The probability of a probability distribution from -2 to +2 will be 1 (one) if the support of x is…

Q: Find the area under the standard normal distribution curve to the left of =z−1.87  and to the right…

A: Given standard normal curve with left of =z−1.87  and to the right of z=0.6 X ~ N(0,1)

Q: To transform a nonstandard normal distribution to the standard normal distribution you must…

A: Ans# - Given to transform a nonstandard normal distribution to the standard normal distribution you…

Q: The household income in a particular town can be represented by a normal distribution with a mean of…

A: Given: μ = 50,000 σ = 10,000 Let X = household income in a particular town. Thus, X~ N(μ = 50,000, σ…

Q: ind the area , to the nearest thousandth , of a standard normal distribution between the z-scores of…

A:

Q: What percent of the area under the curve of the standard normal distribution is outside the interval…

A: Area outside z=[-0.16,0.16]   Area outside P(-0.16 ≤ z ≤ 0.16 )

Q: Find the  value to the left of the mean so that 99.13% of the area under the distribution curve lies…

A:

Q: What percentage of z-scores in the standard normal distribution are less than z = –.35?

A: Given that, z = –0.35 We have to calculate P(Z< -0.35)

Q: 1. What is the total area under the curve for a standard normal distribution? 2. In a standard…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A normal distribution has a mean of=100 with a SD= 20 . If one score is randomly selected from this…

A: Given information- Population mean, µ = 100 Population standard deviation, σ = 20 Let, X be the…

Q: A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food…

A:

Q: On a standard normal distribution, what percentage of scores lie within 0.91 standard deviations on…

A:

Q: What is the probability that the mean for a sample of 36 teachers' salaries is lesser than ₱20,000?

A: Let M denote the sample mean for sample of size n = 36. Given that the distribution of salaries is…

Q: What is the z-score corresponding to P22 z =   For a standard normal distribution, determine the…

A: The given percentile is 22.

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.