Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 7.   Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 66 and 134​? ​(b) What percentage of people has an IQ score less than 66 or greater than 34​? ​(c) What percentage of people has an IQ score greater than 117​?

Q: (a) Find the z-score for an IQ of 86, rounded to three decimal places.   (b) Find the probability…

A: mean = 100 s = 15

Q: IQ is a scoe that is transofrmed so that it has a normal distribution with a mean 100 and standard…

A: Solution: Let x be the IQ score of person has normally distributed with meanμ=100 and standard…

Q: IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 19 Let X be a random variable…

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Given: μ=2932σ=692

Q: 100 specimens are tested in determining the life cycle of a certain type of crank shaft which is…

A: Given Information :  100 specimens are tested in determining the life cycle of a certain type of…

Q: A normal distribution has a mean of 12 and a standard deviation of 3. Use the 68-95-99.7 rule to…

A:

Q: SAT scores in one state is normally distributed with a mean of 1590 and a standard deviation of 176.…

A: Let X be a random variable such that X: SAT score of a student X~N1590,1762 Hence,…

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Given X is normal Distributed with mean µ = 100.0 and standard deviation σ = 19.0 now will using…

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Given X is normal Distributed with mean µ = 100.0 and standard deviation σ = 17.0 now will using…

Q: A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the ​z-score…

A:

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: Given, Mean =100 Standard deviation = 15

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Given data Mean, μ=100SD, σ=14   Empirical Rule Approx. 68% of the data lies within 1σ of μ.…

Q: A distribution of values is normal with a mean of 66.9 and a standard deviation of 43.1. Find P60,…

A: According to the provided information, mean = 66.9  standard deviation = 43.1

Q: A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25…

A: According to the provided information, For 90% confidence, z = 1.645 s = 5 E = 0.45

Q: Measuring lung function: One of the measurements used to determine the health of a person's lungs is…

A:

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: The empirical rule of the normal distribution say that, 1. 68% observations of the data set lies…

Q: (a) What percentage of people has an IQ score between 72 and 128​? ​(b) What percentage of people…

A: (a) What percentage of people has an IQ score between 72 and 128​? The following information has…

Q: Accordi v the historical data, the life expectancy in the United States is less than or equal to the…

A: Given: x1 =77.8s1=7.4n1 =250x2 =76.1s2 = 6.2n2 =260α = 0.01

Q: Comparing Birth Weights The birth weights of a sample of males have a mean of 3272.8 g and a…

A: z score for the males:Let x be the weight for new-born males.

Q: IQ scores are distributed normally with a mean of 100 and a standard deviation of 16. a) sketch a…

A: Consider,X be a random variable that represent the IQ score which is normally distributed with a…

Q: or bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1,…

A: a) z = 2 Pz≥2=1-Pz<2 Use the excel formula, "=NORM.S.DIST(2,TRUE)" to determine the required…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that…

A: Given Mean=100 Standard deviations=17

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Empirical rule :  According to empirical rule ,  68% of data falls within the first standard…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Scores on the Wechsler-Adult Intelligence Scale for one age group has a bell shaped distribution…

A: We know that if X follows normal distribution with mean μ and variance σ2, then  standardization…

Q: Mean IQ Score I Q scores are normally distributed with a mean of 100 and a standard deviation of 15.…

A: The sample size n=25 people.

Q: Scenario: A researcher believes that elementary school teachers who are women earn less than their…

A:

Q: Measuring lung function: One of the measurements used to determine the health of a person's lungs is…

A: Given: μ=2.1σ=0.5n=70x¯=2.03 Hypothesis: Null hypothesis: H0: μ=2.1Alternative hypothesis: H1:…

Q: Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Given, Scores of an IQ test have a​ bell-shaped distribution with a mean of 100  and a standard…

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A:

Q: data per second passes between a consumer's computer and the internet. As of August of 2012, the…

A: Given data : sample size, n = 15 population standard deviation,σ= 12.2 sample…

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: (a) Obtain the percentage of people has an IQ score between 83 and 117. The percentage of people has…

Q: Consider a value to be significantly low if its z score less than or equal to - 2 or consider a…

A: Given: Population mean μ=19.7 Population standard deviation σ=5.1 Let X ~ N (19.7, 5.12) z score…

Q: a certain test, the mean is 100 with a standard deviation of 10. The results come very close to…

A: Using Empirical (or 68-95-99.7) rule, about 68% of all values fall within 1 standard deviation of…

Q: Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: scores are normally distributed with a mean of 100 and a standard deviation of 17.Assume that many…

A: mean of 100 and a standard deviation of 17

Q: If the sample size is n=81, find the mean and standard deviation of the distribution of sample…

A: It is given that X = IQ scores ~ N(mean = 95, SD = 18)

Q: Measuring lung function: One of the measurements used to determine the health of a person's lungs is…

A: We have given that  Sample size n =35  Sample mean =1.98 Population standard deviation =0.4

Q: Accordi the historical data, the life expectancy in Mexico is equal to the life expectancy in Spain.…

A: We have that  Sample sizes n1=205 , n2= 205 , samples mean xbar1 =71.8 , xbar2 =71.2 , standard…

Q: Scores of an IQ test have a boli shaped distribution with a mean of 100 and a standard deviation of…

A:

Q: Calcium levels in people are normally distributed with a mean of 9.4 and a standard deviation of 0.4…

A: Given,     X ~ N(μ, σ )                      Where μ   = 9.4 mg/dl          &      σ    = 0.4…

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Given : According to the empirical rule : 68% of observations falls within the first standard…

Q: Score: 0 of 1 Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard…

A:

Q: The distribution of scores on a standardized test is approximately Normal with standard deviation of…

A: Given information Sample size n = 150 Sample mean x̅ = 74.3 Population standard deviation σ = 22…

Q: blood platelet counts of a group of women have a bell-shaped distribution with a mean of 254.4 and a…

A: We have given that  Mean=254.4 Standard deviation=60.2 We use Empirical rule.

Q: A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size 125 is…

A: Obtain the probability that the sample mean will be within +/– 11 of the population mean. The…

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Mean(µ) = 100 Standard deviations (σ) = 14

Q: ​(a) What percentage of people has an IQ score between 90 and 110​? ​(b) What percentage of people…

A:

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: