A test was given to 120 students, and the scores 8 approximated a normal distribution. If the mean score was 72 with a standard deviation of 7, approximately what percent of the scores were 65 or higher? A 50% B 68% C 76% D 84%

Q: On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the…

A: Given data ,Mean u=300S.D σ=20

Q: The scores of the students are normally distributed with a mean of 85 and a standard deviation of 4.…

A: According to the given information, we have The distribution is normal. Given that, Mean = 85…

Q: If you know that the variance of a normal distribution is 50, then to the nearest whole number, what…

A:

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: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: Given Data: Let X represent the point distribution Mean=530 Standard deviation=80   X~ Normal(530,…

Q: The grades of students were normally distributed with mean of 68 and standard deviation of 15.70. If…

A: A distribution which has bell shaped curve is called normal distribution. A bell shaped distribution…

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

A:

Q: The scores of the students are normally distributed with a mean of 85 and a standard deviation of 4.…

A: Given that  X~Normal( μ = 85 , ? = 4 ) Formula for Z-score  Z-score = (x - μ )/?

Q: Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x2 104)? A.…

A: We have given that.   X~N( μ , ?^2 )   μ=98   , ?=6   Z-score =( x - μ )/?

Q: What is the mean of a distribution with a population standard deviation of 8, and a raw score of…

A:

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

A: Given: μ=75σ=8N=500

Q: In a normal distribution of scores, four participants obtained the following deviation scores:…

A: Given Information:  Deviation scores = -1, +2, +3 , -0.15

Q: The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17.…

A: GivenMean(μ)=120standard deviation(σ)=17

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: A group of students take a Statistics Exam where the average was M = 90 and the standard deviation…

A:

Q: Assuming a normal distribution, for a sample with M-40 and s=4, about 95% of the individuals will…

A: 32 and 48

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

A:

Q: The prices of all college textbooks follow a bell- shaped distribution with a mean of $100 and a…

A:

Q: If the weights of 8000 men follows a normal distribution with mean 67 kg. and the standard deviation…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The height of adult men in the United States is normally distributed with a mean of 70 inches and a…

A: Z = -0.67 Mu = 70 S = 3

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…

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Q: On a standardized test with a normal distribution, the me was 64.3 and the standard deviation was…

A: We have given that  The scores follow the normal distribution with mean 64.3 and standard deviation…

Q: Suppose the test scores of 600 students are normally distributed with a mean of 76 and standard…

A:

Q: For a normal distribution with a mean of μ = 90 and a standard deviation of σ = 5, what is p(X>87)?…

A: We have given the following information about the normal distribution Mean = 90 Standard deviation…

Q: In the past Algebra classes, records show that the average score of the students in the mid-term…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Let, X=…

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: The scores on a driver's test are normally distributed with a mean of 100. Find the score that is 3…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 28 X~N (100, 28)

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: Given Data: Let X represent the total point distribution   Mean=530 Standard deviation=80   X~…

Q: Given that the mean weight of senior high school students is 65kg with a standard deviation of 10kg.…

A: given that ; let random variable X be a weight of senior high school students.and mean(μ)=65 kg…

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x 93)? O A.…

A:

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: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 47)? OA.…

A:

Q: The scores of the students are normally distributed with a mean of 85 and a standard deviation of 4.…

A:

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

A:

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

A:

Q: If a student scored 77 points on a test where the mean score was 84.5 and the standard deviation was…

A: Solution: Let X be the score of a student. From the given information, X has a mean µ=84.5 and a…

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(xs 93)? O A.…

A:

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

A: In question, Given that mu=50, Sigma= 8 and z score = -0.50 Then we'll find the value of raw score.…

Q: A local university administers a comprehensive examination to the recipients of a B.S. degree in…

A: The sample standard deviation can be calculated as:

Q: A data set is normally distributed with a mean of 6363 and a standard deviation of 10.4.10.4. What…

A: Let X be the data value which follows normal distribution with mean 63 and standard deviation 10.4.…

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

A:

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

A:

Q: On a measure of​ anxiety, the mean is 83 and the standard deviation is 12. What are the Z scores for…

A: Given: Mean (M) = 83 Stndard deviation (SD) = 12 Formula:

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

A: Solution

Q: If you draw a sample of 200 from a normal distribution and using the empirical rule; how many data…

A: Empirical rule: On a normal distribution about 68% of data will be within one standard deviation of…

Q: In a Calculus test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A:

Q: What is the value of the Pearson coefficient of skewness for a distribution with a mean of 27,…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.