Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 146 minutes with a standard deviation of 13minutes. Consider 49 of the races. Let X = the average of the 49 races. Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) min

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(108<x<132) = ?

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Given information Mean µ = 25 pounds Standard deviation σ = 3 pounds Z = -2

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: The following data are the distances from the workplace (in  miles) for the 5 employees of a small…

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

Q: A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The…

A: Given data:

Q: A data set has a mean of x = 217 and a standard deviation of 43. Find the z-score for each of the…

A: We know, in a Normal Distribution, z- score is given as, , where is the mean and  is the standard…

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:

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: To solve this problem, we need to find the 17th percentile (P17) of a normally distributed dataset…

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: 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: Determine the Coefficient of Variation of a data set given the x̅= 2.54 and s = .74. Round to the…

A: GivenMean(x)=2.54standard deviation(s)=0.74

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A:

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

A: The graph on the IQ scores of the adults shows a Normal distribution.The mean is 100, and the…

Q: The amount of annual rainfall in a city over the past 100 years follows a normal curve with average…

A: The objective of this question is to find the percentile of the rainfall distribution for an annual…

Q: Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage…

A: A parameter is a numerical measurement of a​ population. a statistic is a numerical measurement of a…

Q: Find the estimated mean speed

A: Given Information: Speed (mph) Cars 30-39 7 40-49 16 50-59 51 60-69 16 70-79 10 To…

Q: For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 36 beats…

A: We have given that Mean (x̅) = 78Standard deviations (s) = 22.6

Q: The area of the shaded region is (Round to four decimal places as needed.)

A: mean = 100 standard deviation = 15

Q: Round each z-score to the nearest hundredth. A data set has a mean of  x = 4079  and a standard…

A:

Q: Refer to the figure at the right. At a= 0.10, can you reject the claim that the proportion of 18 to…

A: Denote p1, p2 as the true population proportions of 18-24-year-olds men and women, who living in…

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: You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s…

A: Standard deviation(s)=2.3 miles

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

A:

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: Solution:- From given information Mean = 100 Standard deviation =15

Q: 6. Find the variance if X~N(0, ¿) and 95% of the data are between -7 and 7.

A:

Q:

A: Given that IQ scores of adults is normally distributed with mean 100 and standard deviation 15. The…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.