In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.5 with a standard deviation of 2.2 (a) What response represents the 90th percentile? (b) What response represents the 56th percentile? (c) What response represents the first quartile? (a) The response that represents the 90th percentile is (Round to two decimal places as needed) (b) The response that represents the 56th percentile is (Round to two decimal places as needed) (c) The response that represents the first quartile is (Round to two decimal places as needed)

Q: A population has a mean of μ= 30 and a standard deviation of σ = 5.  If 5 points were added to every…

A: The value of population mean is μ=30. If 5 points were added to every score in the population, then…

Q: When IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is…

A:

Q: Suppose you have the population values 50 and 80 and that their corresponding z-scores are -1 and 2.…

A: Given : Suppose population values 50 and 80 and their corresponding Z scores are -1 and 2 ,…

Q: A population data set has a mean of 81 and a standard deviation of 5.2. Find the z-scores for each…

A: Population mean, μ=81 population standard deviation, σ=5.2 The formula of z-score is, z=x-μσ…

Q: Suppose the population values 50 and 80 and that their corresponding z scores are -1 and 2…

A: The z score for the population value of 50 is -1 and the z score for the population value of 80 is…

Q: For a sample of 300 students, you find that the mean GPA is 3.35 with a standard deviation of .21.…

A: Solution: From the given information, Standard deviation is 0.21 and n=300.

Q: What percent of data points fall in the range of z=-1.5 and z=1.5 standard deviations of the mean

A: From the provided information, The range is between z = -1.5 to z = 1.5

Q: For a population with mean 80 and standard deviation 6, what is the z-score corresponding to X = 68…

A: Given :Population mean u=80Standard deviation σ=6X=68

Q: In a study about the life expectancy of 200 thirty-year old males, the mean is 65 and the standard…

A: Sample size(n)=200 Mean(μ)=65 Standard deviation(σ)=10  The proportion of the males who live past 75…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample nine people from…

A: Given information Mean (µ) = 75 Standard deviation (σ) = 15 Sample size = 9 Sample mean = 80 z score…

Q: What is the difference between deviation and standard deviation?

A: Before we know the difference between deviation standard deviation, we should know about both these…

Q: 21. In 1965, the mean price of a new car was $2,650 and the standard deviation was $1000, In 2011,…

A: The mean and standard deviation of price of new car in 1965 are 2,650 and 1000. The mean and…

Q: In a specific year, SAT scores were Normally distributed with mean 1026 and standard deviation 209;…

A: given Mean=1026 Standard deviations=209

Q: statistics test scores were normally distributed with a mean of 81 and a standard deviation of 5,…

A:

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A: Let Z be the standard normally distributed random variable with mean 0 and standard deviation 1.

Q: What is another name for the standard deviation of the variable x? What is the reason for that name?

A:

Q: A score that is 6 points below the mean correspond. to a z-score of z = -2.00. What is the…

A: The following is the formulae for z-score                       i.e., z=X-μσ Here, X is variable…

Q: A score that is 6 points below the mean corresponds to a z-score of z = -2.00. What is the…

A: Given: z-score = -2.00 Formula: Where,

Q: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

Q: If you have a population standard deviation of 10 and a sample size of 4, what is your standard…

A: Given,population standard deviation(σ)=10sample size(n)=4

Q: If the average score on a statistics exam was 76, and the standard deviation was 7, what can you…

A: Given : The average score on a statistics exam was 76, and the standard deviation was 7

Q: suppose you have the population values 50 and 80 and their corresponding z-scores are -1 and 2, mean…

A: Let, X1=50, X2=80 and Z1=-1, Z2=2

Q: The results of the nationwide aptitude test in Mathematics are normally distributed with mean = 80,…

A: As we are entitled to solve one question at a time I will answer 2nd one as some information is…

Q: 16. In a standardized test with a normal distribution of scores, the mean is 63 and the standard…

A: here use normal curve property and value near to center in curve have more chance to occur

Q: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

Q: A score that is 6 points below the mean corresponds to a z-score of z = -1.50. What is the…

A: We have to find population standard deviation from given information. We need to use z score…

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

A: The formula of the standard error of the mean is,

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Let X be a test score. Then, X ~N(78,112). Then, X~N(78,112)⇒Z=X-7811~N(0,1) a.) P[ Test score is…

Q: If you score 76 on a commercial pilot exam that has a mean score of 70 and a standard deviation of…

A: We have to find given percentile ....

Q: if you obtain a score of 16 on an anxiety questionnaire and you know that the population mean and…

A: Given,mean(μ)=20standard deviation(σ)=5and a score(X)=16

Q: Suppose the test scores in a class are normally distributed with a mean of 70 and a standard…

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: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: If a distribution of test scores is normal, Mean = 78 Standard deviation = 11

Q: Suppose you have the population values 50 and 80 and that their corresponding z-scores are-1 and 2.…

A: Given : Suppose the population values 50 and 80 and that their corresponding z scores are -1 and 2…

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 10 Let X be a random variable…

Q: A population has µ = 50 and o - 5. If 10 points are added to every score in the population, what are…

A:

Q: The sum of deviation scores in any distribution (population or sample) is always equal to 0.…

A: Let us take an example.   Let X be random variable    we know that Meanx¯=∑xn Therefore, ∑x=nx¯

Q: Explain the empirical rule in your own words. How many standard deviations would it take for you to…

A: Empirical rule:About 68% of data lies within the first standard deviation of the mean.

Q: For a population with population mean 80 and standard deviation10, what is the z-score corresponding…

A:

Q: A population is normally distributed with a mean of 20.  What is the population standard deviation…

A:

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 60 and a…

A: Given that μ=60 and σ=10

Q: In a study of 400 people, the mean age is 50 years and the standard deviation of age is 10 years.…

A:

Q: According to a recent report from the U.S. National Center for Health Statistics, females between 25…

A: Solution: We are given that:Females between 25 and 34 years of age have a bell-shaped distribution…

Q: It is possible to score higher than 1600 on the combined mathematics and reading portions of the…

A: SAT scores are normally distributed with mean = 1017 and standard deviation = 217proportion of SAT…

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A:

Q: A grade of 81 in a test in which the mean is 75 and the standard deviation is 12 corresponds to a…

A:

Q: What is the z-score of x = 75, if it is 2.8 standard deviations to the left of the mean? Answer to…

A: If the x = 75 is 2.8 standard deviations to the left of mean. Z value tells the distance from the…

Q: Which would you expect to be the larger standard deviation: the standard deviation of the weights of…

A: Consider,  the standard deviation of the weights of 25 students in a first-grade class, or the…

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A: Formula of z score : z = x - μσ

Q: What is the z score of x = 9, if it is 1.5 standard deviations to the right of the mean?

A: Given X = 9 also  X = μ + 1.5 (σ) --1