A normal distribution has a mean of 85.8 and a standard deviation of 4.89. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.) z = −3.49

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: given data, normal distribution , μ=100σ=15we have to find out the shaded region for the given…

Q: Find the z-score for the value 62, when the mean is 56 and the standard deviation is 2. O A. z=3.00…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: A normal distribution has a mean of 85.4 and a standard deviation of 4.89. Find the data value…

A: Given data isMean(μ)=85.4standard deviation(σ)=4.89 Z-score=0.55

Q: Find the z-score for the value 82, when the mean is 98 and the standard deviation is 3. OA. 2= -567…

A: From the provided information, Mean (µ) = 98 Standard deviation (σ) = 3 X~N (98, 3)

Q: When a Calculus professor is determining the curve for her final exam, she finds that the mean score…

A: Z= x-μσ~N(0,1)

Q: Find the​ z-score for the value 87​, when the mean is 82 and the standard deviation is 8. A. z=−0.96…

A: Given,mean(μ)=82standard deviation(σ)=8and the value(x)=87

Q: 3. In a set of scores that are normally deviationsbelow the mean is 11.4 and the score three…

A: We have given that,  Let μ be the mean and σ be the standard deviation from the normal distribution.…

Q: e area of the shaded region. The graph to the right depicts IQ scores of adults, se scores are…

A: Population mean μ =100 Population standard deviation =15

Q: The area of the shaded region is

A: Consider X denotes the IQ score. X~Nμ=100,σ=15

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: Given that, Mean = 100 Standard deviation = 15 (Left tailed)

Q: Provide an appropriate response. Find the area of the shaded region. The graph depicts IQ scores of…

A:

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Given,mean(μ)=100standard deviation(σ)=15and z-score=0.7

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: given data  normal distribution  μ= 100σ= 15 p(70<x<125) = ?

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: normal distribution μ = 100σ = 15 P(85<x<110) = ?

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 X~N (100, 15)

Q: company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

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: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Given information Mean = 100 Standard deviation = 15 P(X > x) = 0.65 P(X < x) = 1 – 0.65 =…

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: The graph depicts IQ scores of adultsThe scores are normally distributed.Mean () = 100Standard…

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A:

Q: Consider a value to be significantly low if its z score less than or equal to −2 or consider a value…

A: The mean test score  to assess readiness for college = 20.8 Standard deviation = 4.5   Given z…

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: Step 1:Given that :mean(μ)=100Standard deviation(σ)=15Let X is the IQ score of adults .We want the…

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: Question 1) Step 1: State the given: raw score, x = 115population mean, μ = 100population standard…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A:

Q: standard deviation is s = 30. Determine the test statistic for this test.

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those…

A: The following information has been provided: The population mean is μ=100. The population standard…

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: given data  normal distribution  μ= 100σ = 15 P(106<x<122) = ?

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

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.