The distribution of scores for the final exam in MATH 2406 last year had a Normal distribution with a mean of 74 and a standard deviation of 14. A random sample of 49 exam papers is selected. What is the probability that the sample mean is lower than 77?

Q: A normal distribution has a mean of 60 with a standard deviation of 8. If one score is randomly…

A: Let A(x) be the probability that the value of a random variable X is less than or equal to x where X…

Q: In a recent year, the ACT scores for the math portion of the test were normally distributed, with a…

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Q: . What is the probability that the student will get into a college whose entrance score is 550?

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Q: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70…

A: It is given that the amount of snowfall falling in a certain mountain range is normally distributed…

Q: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of…

A:

Q: For males in their 30s, the distribution of cholesterol readings, in mg/dl, is normally distributed…

A:

Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…

A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36

Q: On the recent SAT English test, the scores were normally distributed with a mean of 1000 and a…

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

Q: The scores of students on the SAT college entrance examinations at a certain high school had a…

A: Note: Thank you for the question. Since, the sample size is not specified, we are calculating the…

Q: A large group of students took a test in Statistics and Probability and the final grades have a mean…

A: Given: μ=70 and σ=10. The z-score is calculated as-z=x-μσ

Q: A normal distribution is observed from the number of rentals per week for a certain car rental…

A:

Q: The average score on the SAT is 1020, with a standard deviation of 180. If you take a random sample…

A: We have given that Mean(µ) = 1020 Standard deviation(σ) = 180 Sample size (n) = 50

Q: The test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…

A: Obtain the probability that the average score is between 80 and 84. The probability that the average…

Q: While checking receipts at Reds, it was determined that the average amount spent on       food per…

A: Mean = 21.50 Standard deviation = 2.22 n = 8

Q: The distribution of raw scores on a chemistry final is approximately normal with a mean of about 50…

A: The random variable X is defined as the student will have a raw score which follows normal…

Q: The distribution of annual returns on common stocks has a mean of 9 percent and a standard deviation…

A:

Q: The score obtained by 800 students in a statistics examination are approximately normally…

A: Given: n=800, μ=78 and σ=7.   The z-score is calculated asz=x-μσ=80-787=0.29

Q: The Internal Revenue Service reports that the mean federal income tax paid in a recent year was…

A:

Q: The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a…

A: Given,sample size (n)=50mean(μ)=$1000standard deviation(σ)=$350

Q: The average number of dropouts for a school district has been 305 per year, with a standard…

A: Mean = 305 s = 50

Q: The average math SAT score is 513 with a standard deviation of 119. A random sample of 60 students…

A:

Q: The reading speed of second grade students in a large city is approximately​ normal, with a mean of…

A:

Q: the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 88…

A: It is given that the normal distribution has a mean, μ=88 and the standard deviation, σ=16. The…

Q: The daily sales of a small retail store in Toronto for the last 365 days are normally distributed…

A:

Q: The distribution of heights for women in the United States is approximately normal, with a mean of μ…

A: Where,

Q: Proctor & Gamble reported that an American family of four washes an average of 1 ton (2000…

A: Introduction:Here, the suggested population mean, μ = 2,000 pounds.The population standard…

Q: The normal model applies to the productivity of all workers at a factory, with a mean of 75 units…

A:

Q: The amount of snowfall falling in a certain mountain range is normally distributed with the mean of…

A:

Q: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of…

A:

Q: In a recent year, the MCAT total scores were normally distributed, with a mean of 500 and a standard…

A: Consider,Let X be a random variable that represents the total score which is normally distributed…

Q: In a large population of adults, IQ scores are said to be normally distributed with a mean of 115…

A:

Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…

A: Given information- Population mean, µ = 105 Population standard deviation, σ = 20 Sample size, n =…

Q: A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. What is the…

A: It is given that mean and standard deviation are106 and 12, respectively.By using central limit…

Q: The reading speed of second grade students in a large city is approximately​ normal, with a mean of…

A: Here, µ=90, σ=10, n=28.

Q: While checking receipts at Reds, it was determined that the average amount spent on food per table…

A:

Q: In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with…

A: Given data,μ=500σ=10.7P(X>529)=?

Q: The weekly salaries of a group of employees are normally distributed with a mean of $800 and a…

A:

Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: The mean cost of a five pound bag of shrimp is 50 dollars with a standard deviation of 6 dollars.…

A: Given information Mean (µ) = 50 Standard Deviation(σ) = 6 Sample size (n)= 40 probability that the…

Q: In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with…

A: Let "X" be the total scores for a certain standardized test

Q: According to the U.S. Census Bureau, the mean household income in the United States in 2000 was…

A:

Q: Suppose the average age at death of a California Adventist is 85.5 with a standard deviation of 5.6…

A: Given Data: Let X represent the random variable Mean=85.5 SD=5.6   Assuming normal distribution X~…

Q: The distribution of raw scores on a chemistry final is approximately normal with a mean of about 60…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: The distribution of heights for men in the United States is approximately normal, with a mean of μ =…

A: Where,

Q: he probability that a football game will go into overtime is 12%. In 200 randomly selected football…

A: It is given than n=200 and p =0.12.

Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.53…

A: Let X be the diameter of a brand of tennis balls which follows normal distribution with mean 2.53…

Q: The population average of a college test score of students is 100 with a standard deviation of 25.…

A:

Q: The population average of a college test score of students is 50 with a standard deviation of 10.…

A:

Q: At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is…

A: When the given sample size is more, that means 30 are more than 30, then we use a large sample test.…

Q: The average height of 4 year-old children is 40 inches with a standard deviation of 2.4 inches. If…

A: The random variable height follows a normal distribution. The population mean is 40. The population…