Suppose that the distribution of Writing SAT scores from your state this year is normally distributed with mean 480 and standard deviation 110 for males, and mean 500 and standard deviation 100 for females. How well did Mary's score of 670 rate in terms of the scores of male students? Mary did better than approximately ____% of male students taking the test.

Q: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.…

A: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.

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: 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: Find the standard deviation of the given data rounded to the nearest hundredth. 3, 4, 5, 7, 10, 12,…

A: Given data is3,4,5,7,10,12,15sample size(n)=7

Q: If your score on your next statistics test is converted to a z​ score, which of these z scores would…

A: We have to find that which z score prefer for next statistics test....

Q: For a population with the mean of u = 45 and a standard deviation of 10, what's the standard error…

A: Given that, Mean = 45 Standard deviation = 10

Q: If the standard error (σX) of the mean distribution is 10 and the sample size is 25, then what is…

A: Given information Standard error of the mean distribution = 10 Sample size = 25

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: Suppose that the sample dataset of July 1 temperatures consisted of 64 observations and that these…

A: given data standard deviation s = 4 sample size n = 64

Q: Assuming that the scores of Grade 11 students in Statistics and Probability in their third quarter…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Solution: Let X be the length of pregnancies in a small rural village From the given information, X…

Q: For a population with a mean of 75 and a standard deviation of 12, what proportion of sample means…

A: Given, Mean μ = 75 Standard deviation σ = 12 sample size n = 16

Q: An analysis of a data set (N = 16) has revealed that its standard deviation (SD) of 2. Then, what is…

A: GivenN=16standard deviation(SD)=2

Q: If the variance of a particular data set is 7.5820, the standard deviation is

A: We know that variance is the average squared distance from the mean value. And the standard…

Q: Suppose two sections of the same class take the same exam and produce the results shown in the…

A: The relative frequency distribution of section 1 scores and section 2 scores, are given.

Q: For a population with mean 90 and standard deviation 10, what is the z-score corresponding to X =…

A:

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: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 71…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Determine the range that would be expect to obtain the middle 98% of most pregnancies.   The range…

Q: Which of the following values for the population standard deviation would cause a score located…

A: Given different values of standard deviation and we need to select the one which makes value of x to…

Q: Suppose that quiz scores in a beginning statistics class have a mean of 6.56.5 with a standard…

A: The Chebyshev's theorem states that at least 1-1k2 of the observations falls within k standard…

Q: Again, suppose we are now interested in taking random samples of 800 US adults instead of 150 and…

A: We know that,  Proportion p= X/n Where n is sample size.

Q: What proportion of individuals score less than 51   points on this test?

A: given: mean score = 65 standard deviation of the score = 8 we need to find proportion of individuals…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A:

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: If an entire population with μ = 60 and s = 8 is transformed into z-scores, then the distribution of…

A: Given X~N(μ,σ) population mean μ=60 population standard deviation σ=8 The formula for a…

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: Suppose the mathematics SAT scores are normally distributed with a mean of 500 and a standard…

A:

Q: The college physical education department offered an advanced first aid course last semester. The…

A: Given Information: The scores on the comprehensive final exam were normally distributed, and the  z…

Q: A teacher finds that the test scores of a group of 40 students have a mean of 72 and standard…

A: (a) A teacher finds that the test scores of a group of 40 students have a mean of 72 and standard…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 67…

A: From the provided information, Mean (µ) = 67 Standard deviation (σ) = 6 Let X be a random variable…

Q: The distribution of room and board expenses per year at a four-year college is normally distributed…

A:

Q: You are told that the distribution of television weights is normal, with a mean, u of 12.6 kilograms…

A: Given,sample size(n)=8mean(μ)=12.6standard deviation(σ)=2.9

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 71…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Given Information Mean µ = 260 Standard deviation(σ) = 14

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: 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: 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: Suppose you are working with a data set that is normally distributed with a mean of 400 and a…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

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: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 65…

A: Given information- Mean, μ = 65 Standard deviation, σ = 4 a) The percentage of scores that were…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 70…

A: Let , X denotes  scores on a statewide standardized test .  Therefore , X - > N (mean = 70 , sd =…

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

A: mean = 70 standard deviation = 9 x = 85

Q: In a sample distribution, a score of x = 21 corresponds to z = -1.00 and a score of x = 12…

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: 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

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 60…

A:

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 69…

A: Let X denote the scores on a statewide standardized test and it follows normal distribution with…