Which of the following statements are TRUE about the Normal Distribution? Check all that apply. 50% of the data values lie at or above the mean. The distribution is symmetric with a single peak. Data values are spread evenly around the mean. The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. Data values farther from the mean are less common than data values closer to the mean. About 95% of all data values lie within 1 standard deviation of the mean. The mean, median and mode are all equal and occur at the center of the distribution.

Q: An economics professor decides to curve the grades of his class. In doing so, he decides to make it…

A: Given data: An economics professor decides to curve the grades of his class. In doing so, he decides…

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Q: d. How many are between ages 24 and 32 years? e. Find the age such that 75% is below it.

A: Given: n = 3000 μ = 28 σ = 4 Let X denote the age of the applicants. Thus, X~N (μ = 28, σ = 4) Part…

Q: Is race a factor in the number of times a month a person eats out? The table below shows data that…

A: ANOVA: The analysis of variance (ANOVA) is used to determine whether there are any statistically…

Q: A National Center for Health Statistics survey suggested that, in the late 1970s, the mean serum…

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Q: Which of the following is closest to the shaded area under the normal distribution curve shown?

A: The area under the curve is less than 2 standard deviations away from the mean. Thus, around 97.5%…

Q: Which of the following z scores are above the mean? Choose all that apply.     0     1.35…

A: For normal distribution, the mean is equal to 0

Q: Decide if the following statement is true or false. Explain why. It is possible to have a standard…

A: We need to decide if the given statement that " It is possible to have a standard deviation of -2…

Q: Determine whether the following graph can represent a variable with a normal distribution. Explain…

A: From the above graph we can see that, it is symmetric the mean =median= mode= 20 i.e. mid point of…

Q: If a normal distribution has a mean of 77 and a standard deviation of 11, complete the normal…

A: Given that  Mean = 77, Standard deviation, SD = 11

Q: The manager of The Cheesecake Factory in Memphis reports that on six randomly selected weekdays, the…

A: To calculate margin of error follow the steps as 1. Find the critical value at the given level of…

Q: The daily high temperature for the month of August in Chicago is normally distributed with a mean of…

A: Let X be the high temperature for the month of August in Chicago is normally distributed with a mean…

Q: A normal distribution of scores has a mean of 72 and a standard deviation of 11.  Find the z-scores…

A: Problem 1:Given:μ = mean = 72σ = standard deviation = 11 We can solve for z-scores using this…

Q: The percentage of heights less than 161 centimeters is

A: Given, Mean = 169 Standard Deviation = 8

Q: The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below.…

A: The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below.…

Q: The amount that households pay service providers for access to the Internet varies quite a bit, but…

A: We have given that  We have given that.   X~N( μ , ?^2 )   μ =48 , ? =20 , n=500

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105   and a standard…

A: It is given that the mean and standard deviation are 105 and 15, respectively.

Q: art professor gives an A to any student in the top 9% of the distribution. The grades are normally…

A: Given X~N(mean μ=60, standard deviations σ=5) P(X>b)=9%

Q: Draw a vertical line through a normal distribution for each of the following z-score locations. Find…

A: A z-score is a measure that indicates how many standard deviations away, a data value lies, from the…

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that: Population mean, μ=31000 Population standard deviation, σ=3000 Sample size, n=450

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

A: Given: Mean μ = 100 Standard deviation σ = 15 Formula Used: Z = X-μσX = μ+Zσ

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

A: Given,mean(μ)=100standard deviation(σ)=15

Q: One graph in the figure represents a normal distribution with mean u= 15 and standard deviation o =…

A: Given: One graph has μ=15 and σ=2.Another graph has μ=11 and σ=2.

Q: Use the data 2, 3, 3, 6, 6, 7. Add 3 to each of the numbers. How does this affect the mean? How does…

A: Answer;- Given data  2, 3, 3, 6, 6, 7               Add 3 to each of the numbers.               How…

Q: the mean is 146, and standard deviation is 35. You can infer that 97.72% of female students have…

A: Introduction: For a normally distributed random variable, X with mean μ, and standard deviation σ,…

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

A: Suppose a random variable x, defines the IQ scores.

Q: Calculate the z-score representing the bottom 10% of an approximately normal distribution. (Use a…

A: standard normal distributionμ = 0σ = 1for bottom 10% , Z = ?

Q: For a normal distribution, identify the z-score location that would separate the distribution into…

A: The z-score can be obtained as; (a) 20% in the tail on the right-hand side This indicates that there…

Q: Sacks of grain have an average weight of 120 Kilograms. It is found that 10% of the bags are over…

A: let X: weight of the bags.X~N(μ,σ)where  mean(μ)=120 kg.and given P(X>125)=10%=0.10  find…

Q: Find the proportion of Normally distributed observations with a z-score above -1.93. Give your…

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Q: The graph of the normal distribution resembles a "bell" curve. True False

A: Given: A graph of the normal distribution resembles a "bell" curve.