What is the total area between the z-distribution and z-axis.

Q: Which of following z-scores (to the nearest two decimal places) has 75% of the area in the standard…

A: The area of z score for between -z to z

Q: Suppose the income of workers at your job follows a normal distribution. If you standardize their…

A:

Q: where the student t-distribution gragh is having more area than the area covered by normal…

A: Fromm the given information, The t-distribution is less concentrated around its peak on the other…

Q: The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: How are the t-distributions and z-distribution related? As sample size increases, what happens to…

A: Let X be the random variable from normal distribution with mean μ and standard deviation σ with…

Q: find the 80th percentile of a normal distribution where x=n(50,10)

A: Step 1:Find the 80th percentile of a normal distribution.X∼N(50,10)=X∼N(μ,σ)Step 2:Find the Z-score…

Q: Find the area under the standard normal curve between (-1.35) and the mean?

A: To find: Find the area under the standard normal curve between (-1.35) and the mean? Note: P value…

Q: The z-score that has an area of 0.88 under the standard normal curve and to its right is

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Q: Area to the left of-2.821 under a t distribution with 9 degrees of freedom

A: t distribution is a distribution similar to normal distribution. t distributed is bell shaped but…

Q: find is the score of 75% of the area under the standard normal distribution curve lies to the left…

A: GivenThe area under the standard normal distribution curve lies to the left of75% is

Q: Use a table of areas to find each of the shaded areas under the Standard Normal Distribution. (a)…

A: Solution-: Let, Z- be the standard normal random variable (a) P(0<Z<1.96)=? (b)…

Q: Find the z-score for which 99% of the distribution's area lies between - z and z

A: Answer:- We use the Excel function [=NORM.S.INV(Area) ] to find the required Z-score.

Q: Find the area above 27 for a N(15,5) distribution.

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Q: Give the formula for calculating the quartiles, of a continuous distribution.

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Q: An adult can lose or gain two pounds of water in the course of a day. Assume that the changes in…

A: We are given that An adult can lose or gain two pounds of water in the course of a day. Let X be the…

Q: What is the area under the standard normal distribution curve between  z=1.50 and z=2.50

A: We have to find the area of the normal curve between z = 1.50 and z = 2.50

Q: The Central Limit Theorem requires us to assume the population is normally distributed. True or…

A: The Central limit theorem assumption

Q: Sketch the area under the normal distribution curve over the indicated intervals and find the…

A: (a) The probability between Z = - 2.33 and  Z = -1.44  is, Therefore, the required probability is,…

Q: Find the z -value such that 75% of the standard normal curve lies between -z and z.

A: Given that 75% of the standard normal curve lies between  ̶ z and z.   That is,

Q: Find the area under the standard normal distribution curve between z=-2.25 and z--0.83. Use a TI-83…

A: It is given two Z-score values 1) Z = -2.25 2) Z = -0.83

Q: suppose the income of workers at your job follows a normal distribution. if you standardisize their…

A:

Q: What is the area under each curve of chi-Square distribution? Explain.

A: The distribution of the chi-square statistic is called the chi-square distribution. The chi-square…

Q: Identify the region under the t-distribution corresponding to the t-value which is 2.500 and the…

A: Given : The t - value is equal to 2.500 and the area is on the left. It is asked to find the area…

Q: Exhibit 1 Stem-and-leaf of Data: Amount of Money earned in a day in dollars Leaf Unit = 10 N =* 2…

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

Q: what is the area under the normal distribution curve between z=-1.53 and z=0?

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Q: Use a table of normal distribution to find the area under the standard normal curve that lies to the…

A: In the problem, the value of Pz<1.33 needs to be found. Look at the standard normal table row 1.3…

Q: Let the X-values represent the times, in minutes, of preparation for a Statistics test; let the…

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Q: that has a sharper-rising center peak than the peak of a normal is called and has a kurtosis. A…

A: Kurtosis measures how heavy the tails of the distribution are.

Q: About % of the area under the curve of the standard normal distribution is between and (or within…

A: Area  between z = -0.921 and z= 0.921

Q: In standard normal distribution, what is the area between z = 0 and z = - 2.13 under the normal…

A: Given that, the range is -2.13 to 0.

Q: In a random sample of 64 audited estate tax returns, it was determined that the mean amount of…

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Q: Describe Simple Discrete Distributions?

A: The outcome of an set of data are distributed in two forms. They are continuous distribution and…

Q: Find the area under the normal distribution curve between Z= 0.65 and Z= 2.30.

A: normal distribution curve between Z= 0.65 and Z= 2.30

Q: When do we use a mean and SD to define a continuous variable distribution?

A: Given information: For a continuous variable distribution with specified mean and standard…

Q: What is the cumulative area under the standard normal curve between z- score -1 and z-score 1 ?

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Q: Find the z-score for which 89% of the distribution's area lies between -z and z. -1.5982, 1.5982…

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Q: Calculate the z-score for an x value of 4.7, given the distribution X~N(4, 1.52)

A: We have to find z score.

Q: Find the area under the standard normal distribution curve between =z0 and =z1.93 .

A: According to given question,  We have:-   z1= 0  and z2 = 1.93To find :-  P(z1<z<z2) Or…

Q: For a discrete distribution, show that B, 2 B,.

A:

Q: The probability distribution of X, the number of imperfections for every 10 meters of a synthetic…

A: Solution-: Let, X-The number of imperfections for every 10 meters of a synthetic fabric  We have…

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.