Suppose that IQ scores in one region are normally distributed with a standard deviation of 14. Suppose also that exactly 51% of the individuals from this region have IQ scores of greater than 100 (and that 49% do not). What is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

Q: A sample of n = 15 scores has a mean of M = 6. One person with a score of X = 72 is added to the…

A:

Q: Americans spend an average of 5 hours per day online. If the standard deviation is 33 minutes, find…

A: Given,Mean, μ = 5 hours = 5×60 = 300 minutes.Standard deviation, σ = 33 minutes.We need to find the…

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A: The distances from the workplace (in miles) for the 5 employees of a small business are given as:…

Q: A psychologist has designed a questionnaire to measure individuals' aggressiveness. Suppose that the…

A: given data  normal distributionσ = 100P(x>750) = 0.15μ = ?

Q: The mean score on a statistics test is 73.28 with a standard deviation of 7.86. You score a 70 on…

A: We have given that.   X~N( μ , ?^2 )   μ =7.86 , ? =73.28   Z-score =( x - μ )/?

Q: In a population of scores, X = 83 corresponds to z = 0.50 and X = 93 corresponds to z = +2.00. What…

A: We have to find mean and sd.

Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…

A: Given Data: Let X represent the random variable   X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…

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A: The mean The standard deviation The graph is left-tailed and provides the area to the left of an IQ…

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A: Here use normal distribution table for z score

Q: What is the Z value for a value of X = 60?

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Q: A statistician uses Chebyshev's Theorem to estimate that at least 90 % of a population lies between…

A: We have to find correct answer for given data..

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

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A: Let a population has n units,X1,X2,....,Xn.Then the total sum of the population is S=X1+X2+...+Xn.…

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A: Mean(µ) = 72Standard deviations (σ) = 9

Q: The final exam is worth 200 points with the usual 10% grading scale. Assume that the final exam…

A: Given Information: Mean (u) = 161 points Standard deviation (s) = 22

Q: The tourist bureau of the Caribbean Islands surveyed a sample of  5  United States tourists as they…

A:

Q: The IQ score that separates the bottom 15% from the top 85% is P,5 =. (Round to the nearest…

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Q: Suppose that the speeds of cars travelling on California freeways are normally distributed with a…

A: Given Information :  Suppose that the speeds of cars travelling on California freeways are normally…

Q: given a population of 5000 scores with mean is 86 and the standard deviation is 10, how many scores…

A: To solve this problem, we have to assume that the population is normally distributed. Let X denotes…

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A: From the Excel function, 1st quartile 0.0825 =QUARTILE(D2:D31,1) 3rd quartile 0.23…

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A: Given data ,μ=120σ=3z-value at 50% confidence isz∝12=0.674

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Q: Suppose that the speeds of cars travelling on California freeways are normally distributed with a…

A: Given Information: The speeds of cars travelling on California freeways are normally distributed…

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A: The number of observations is 6.

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A: Solution: Let X be the age of senator. From the given information,

Q: Determine the test score of John in Statistics if he has a z-score of 1.89. (SD = 4, mean = 82)

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Q: Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of…

A: Given: Mean μ=55%Standard deviationσ=4% Consider, X be the random variable that follows the normal…

Q: The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about…

A: