Given a normally distributed set of scores with mean μ = 86.5 and standard deviation σ = 11.4, determine the approximate location of the following scores in terms of the standard deviation. 1. x = 100 2. x = 55.5

Q: A distribution of values is normal with a mean of 46.3 and a standard deviation of 75.1. Find P39,…

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Q: A forester measured the trees in a large woods up for sale. He concluded that the diameter of the…

A: The objective of this question is to identify the correct equation that can be used to find the…

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: It is given that: For the Accuplacer test, Meanμ1=40 Standard deviationσ1=9 For the GPAs,…

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: The mean of the Accuplacer test,  The standard deviation of the Accuplacer test, The mean of High…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Given,μ=0σ=1 P(Z<z)=0.29

Q: Fluorescent lighbulbs have lifetimes that are normally distributed with a mean of 6.1 years and a…

A: Step 1:The lifetime of fluorescent lightbulbs is normally distributed.mean(μ)=6.1 yearstandrad…

Q: Assume that adults have IQ scores that are normally distributed with μ=38 and a standard deviation…

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Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

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

A: We have given that The IQ scores are normally distributed with  Mean(µ) = 100 and Standard…

Q: Assume that adults have IQ scores that are normally distributed with μ=105 and a standard deviation…

A: Assume that adults have IQ scores that are normally distributed with μ=105 and a standard deviation…

Q: Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…

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Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A:

Q: A distribution of values is normal with a mean of 235 and a standard deviation of 14.4. Find P63,…

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Q: The variable x is normally distributed with a mean of 500 and a standard deviation of 41. Find the…

A: Given that  X follows normal distributionμ=500σ=41

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: The distirbutions of the Accuplacer test and High School GPAs are given.

Q: A distribution of values is normal with a mean of 141.6 and a standard deviation of 44. Find P65,…

A: Given Information: Mean μ=141.6 Standard deviation σ=44 To find Percentile P65: Using a standard…

Q: The mean finish time for a yearly amateur auto race was 186.77 minutes with a standard deviation of…

A: Formula for z score : z = x-μσ

Q: A sample has a mean M = 55. In the sample, a score of X = 48 corresponds to z = -1.50. What is the…

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Q: Find P33,

A: Let , X→N(μ=40.5 , σ=53.3) Our aim is to find the P33

Q: . A survey by the National Retail Federation found that women spend on average R146.on a Saturday…

A: given data normal distributionμ = 146σ = 29.44P(x<190)= ?

Q: A set of test scores has a mean of 27 and a standard deviation of 4.2. Calculate the raw scores for…

A: We have given that, A set of test scores has a mean of 27 and a standard deviation of 4.2   The…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Percentile : Percentile is the value such that certain percentage of data fall below that value.…

Q: Seattle, Washington, averages m=34 inches of annual precipitation. Assuming that the distribution of…

A: From the provided information, Mean (µ) = 34 inches Standard deviation (σ) = 6.5 inches Let X be a…

Q: A group of students take a exam and the adverage was m = 90 and the standard deviation was 7.8.…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: Given,The actual mean, μ = 1.667The actual standard deviation, σ = 1.073Frequency distribution table…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

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Q: For a set of data, μ = 71, X=35, z = -0.60. What is the standard deviation of the population?

A: Given that.   X~N( μ , ?^2 )   μ=71   , ?=?  , X=35 , z=-0.60   Z-score =( x - μ )/?

Q: A distribution of values is normal with a mean of 202 and a standard deviation of 91.5. Find P75,…

A: Obtain the score separating the bottom 75% from the top 25%. The score separating the bottom 75%…

Q: The average score on a statistics test was 2.36 with a standard deviation of 0.69. The professor…

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Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A:

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A:

Q: For a sample with a standard deviation of s=4, a score of X=35 corresponds to Z= -1.25. what is the…

A: Given,standard deviation(s)=4a score(X)=35Z-score=-1.25

Q: is randomly selected and tested. Find P80, the 80-percentile. This is the temperature reading…

A: It is given that  Mean, μ = 0 Standard deviation, σ = 1

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026 h with a…

A: Given, Mean life span of 1026 h and standard deviation 86 h.

Q: The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

A: