B. Students pass a test if they score 50% or more. The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively. Assuming this data is normally distributed, what percentage of students pass the test? Solution:

Q: For a population with mean of 50 and standard deviation of 8, what is the Z-score that corresponds…

A:

Q: According to the Empirical Rule, the percentage of observations in a data set (providing that the…

A:

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: In a departamental examination in  statistics given to 500 students, the mean score was 75 with a…

A: A z score tells us where score is lies on normal distribution curve. if z score is is zero is it…

Q: If a population has a standard deviation of 16, what is the minimum number of samples that need to…

A: Given,standard deviation (σ)=16margin of error (E)=2α=1-0.88=0.12α2=0.06Z0.06 =1.5548

Q: For a sample with M= 80, a score of X= 88 corresponds to z =2. what is the sample standard deviation…

A:

Q: Suppose the people living in a city have a mean score of 40 and a standard deviation of 7 on a…

A: As per guidelines, we will only solve first three subparts, please repost other questions for more…

Q: Based on the graph of this normal distribution, a. The mean is b. The standard deviation is c. 68%…

A:

Q: Which of the following is the correct formula for the margin of error of a population mean where the…

A: Margin of error: A margin of error is a statistical measurement for the diff. between actual and…

Q: In a sample distribution, X=56 corresponds to z=1.00, and X=47 corresponds to z=-0.50. Find the mean…

A: Given,  X=56 corresponds to z=1.00 X=47 corresponds to z=-0.50 wktz=x-μσX=zσ +μ

Q: Suppose a population of individuals has a mean weight of 160 pounds, with a population standard…

A: Solution: Let X be the weight of individuals. From the given information, X follows normal…

Q: For a population with mean of 50 and standard deviation of 8, what is the z-score that corresponds…

A:

Q: For example with m= 80, a score of x = 88 corresponds to z = 2.00.  What is the sample standard…

A: GivenMean(M)=80x=88z-score(z)=2.00

Q: In a normal distribution, 99.7% of the data fall within how many standard deviations of the mean? A.…

A: Solution-: In a normal distribution, 99.7% of the data fall within how many standard deviations of…

Q: 5. If a population has a standard deviation of 16, what is the minimum number of samples that need…

A:

Q: Given that the mean of a data set is 20, and the standard deviation of this data set is 8, then what…

A: Solution : Given : μ = 20             σ = 8             X = 40 The value of Z-score can be computed…

Q: c) For the normal distribution of burning times of electric light bulbs, with a mean equal to 1200…

A: Since you have posted multiple subparts , we will solve first three subparts  for you. To get the…

Q: If a product has a mean demand of 80 with a standard deviation of 10, if the customer holds 100…

A:

Q: Given a set of data that is skewed-right, there is at least % of the data within 3 standard…

A: Given

Q: The standard deviation of a variable is 15. If a sample of 100 individuals is selected, what size is…

A:

Q: For a population with mean of 50 and standard deviation of 8, what is the raw score that corresponds…

A: Given,mean(μ)=50standard deviation(σ)=8

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: We have, the population mean, μ=100                the standard deviation, σ=15 Let X=IQ score

Q: On a college admissions test where the scores wereapproximately normally distributed, Amy’s score of…

A:

Q: "The weights of 1,000 children, in average, is 64kg with standard deviation of 18kg. Suppose the…

A: Given that n=1000, mu =64 ,s.d =18 ,p(x<59 ) =?

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

Q: For a sample of n = 16 scores, what is the value of the population standard deviation (σ) necessary…

A:

Q: Suppose a population is known to be normally distributed with a mean, µ, equal to 144 and a standard…

A:

Q: 4. Compute the average deviation on the data below Test scores X-Х bar Xi 57 60 65 70 78 s0 82 85…

A: 4. Formula for Average deviation is, Average deviation=∑x'n Where x'=x-x¯ x¯=∑xin  , n=10…

Q: Given IQ scores are approximately normally distributed with a mean of 100 and  standard deviation of…

A: GivenMean(μ)=100standard deviation(σ)=15

Q: For a population with mean of 50 and standard deviation of 8, what is the raw score that corresponds…

A: We have given that mean = μ = 50standard deviation = σ = 8 z = 0.25

Q: In a statistics class of 150 students, the mean and standard deviation of scores was 70 and 5,…

A: Given: The total number of students are N=150. The mean scores of students in a statistics class is…

Q: For a population with mean of 50 and standard deviation of 8, what is the raw score that corresponds…

A:

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Solution: Let X be the e normally distributed with a mean, μ=116 and a standard deviation, σ = 14.…

Q: If a data value has a z-score of 3.00 and the mean of the distribution is 100 with a standard…

A: 1) Given data, z=3 μ=100 σ=15 X=?

Q: Given that X is normally distributed with a mean of 50 and a standard deviation of 4, determine P(45…

A:

Q: The standard deviation of the given data is A. 1.4495 B. 1.4597 C. 2.1011 D. 2.1307

A:

Q: - Calculate the Quartile Deviation (Q.D) and coefficient of Q.D. for the data below: ( 230 , 620 ,…

A:

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the…

A: Let X be the random variable from normal distribution with mean (μ) = 0 and standard deviation (σ) =…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A: From the provided information, Mean (µ) = 144 Standard deviation (σ) = 27 X~N (144, 27)

Q: Given the matched-pairs below, compute the mean and standard deviation for X Y. X 14.1 13.6 15.8…

A:

Q: If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard…

A: According to the Chebyshev's theorem, 1-(1/k²) of the observation fall within k standard deviation…

Q: Q scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the…

A: Given: μ=100, σ=15 The corresponding z-value needed to be computed is: The probability that people…

Q: The time that a customer takes to complete a transaction in the business line at the bank follows a…

A: Given Data Population Mean,μ = 5.4 Population Standard Deviation,σ = 1.7

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A:

Q: P(x) 0.186 1 0.362 0.295 3 0.128 0.027 4 5 0.002

A: From the provided information, The mean for the numbers of sleepwalkers in group of five can be…

Q: For a population with mean of 50 and standard deviation of 8, what is the raw score that corresponds…

A:

Q: The distribution of the number of dill pickle spears in a gallon container is approximately Normal…

A: Solution

Q: The three data sets have the same mean and range, but is the variation the same? Prove your answer…

A: For all the parts, it is given that, x=5+7+9+11+13+15+177=777=11

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Given: μ=116σ=14x=102,144 The formula of z-score is:z=x-μσ First we calculate the z-score for x=102.…