What z-score would be associated with the value x = 172?
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A: Given that,
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A: Given Information: Mean (x) = 96.9 Standard Deviation (s) = 23.6
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A: Given: mean=μ=95.1 standard deviation=σ=21.6
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A: Step 1:Given data : Mean μ=2.241Standard deviation σ=2.133Let X represent the weights of plastic…
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Q: The first quartile is. (Type an integer or decimal rounded to one decimal place as needed.)
A: Assume that adults have IQ scores that are normally distributed with a mean of 100.2 and a standard…
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A: Given that IQ scores that are normally distributed Mean (μ) = 97.7 Standard deviation (σ) = 19.7…
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: Assume that adults have IQ scores that are normally distributed with a mean of 96.4 and a standard…
A: Given,Mean, μ = 96.4Standard deviation, σ = 18Using formula,
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A: Let X be the random variable for the IQ scores of adults. X~Nμ, σ Where, Mean (μ)=100Standard…
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A: Let X denotes the adults IQ scores which follows normal distribution with mean 101.8 and standard…
Q: which in the picture is an estimator for the population mean µ?
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A: From the provided information, Average (µ) = 25 Standard deviation (σ) = 5 X~N (25, 5)
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Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.4 and a standard…
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A: here given , mean,μ=77,standard deviation, σ=9 z =5.504 we need to find x value, formula for x…
Q: Assume that adults have IQ scores that are normally distributed with a mean of 103.7 and a standard…
A: Mean = 103.7 Sd = 24.1
Q: The first quartile is
A: here use standard normal distribution table for z score for 0.25
Q: Assume that adults have IQ scores that are normally distributed with a mean of 101.1 and a standard…
A: Solution: Let X be the IQ score. From the given information, X follows normal distribution with mean…
Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.3 and a standard…
A: Given : IQ scores that are normally distributed with a mean of 96.3 and a standard deviation 17.…
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A: Let "X" be the IQ scores of adults. Find z-value: Refer Standard normal table/Z-table, Lookup for…
Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?
A:
A given distribution has a population
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- Assume that adults have IQ scores that are normally distributed with a mean of 101 and a standard deviation 20.3. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)A population is normally distributed with a mean of 20. What is the population standard deviation if you know 18% of the values are less than a value of 15Assume that adults have IQ scores that are normally distributed with a mean of 96.6 and a standard deviation 19. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
- The average price for a personal computer (PC) is $949.00. If computer prices are approximately normal with a standard deviation of σ = $100, then what amount do the least expensive 10% of personal computer cost less than?Let W1, W2, . . . be an uncorrelated random sequence with mean 0 and variance 1.Define the discrete-time random process {Xn : n ∈ N} := {X1, X2, . . .} by Xn = aXn−1 + Wn(n ∈ N) with a and X0 given. For each of the following two separate cases, find the mean functionmX (n) (n ∈ N) and covariance function CX (m, n) (m, n ∈ N) for the process {Xn : n ∈ N}, anddetermine if it is wide-sense stationary.a. a = 1 and X0 = 0.b. |a| < 1 and X0 is a random variable with mean 0 and variance 1/(1 − a2), uncorrelated withW1, W2, . . . .Assume that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 20.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)
- Assume the data set described is normally distributed with the given mean and standard deviation, and with n total values. Find the approximate number of data values that will fall in the given range. Mean=-14.3 Standard deviation-1.7 n-140 Range: - 17.7 to - 10.9 In this case, we expect about data values to fall between - 17.7 and -10.9.Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.With a mean of 10 and standard deviation of 5. Assume that the population data are normally distributed. Calculate the z-score for a raw score of 5. What proportion of the distribution is equal to or less than this score?
- Assume that adults have IQ scores that are normally distributed with a mean of 102.1 and a standard deviation 16.3. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 19.1. Find the first quartile Q,, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph. The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)