Q1 Suppose the scores, X, on a college entrance examination is normally distributed with mean 550 and a standard deviation of 100. George Mason University will consider for admission only applicants whose scores exceed the 90th percentile of the distribution. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university.

Q: A business school dean in Ohio wants to know if graduates who completed an internship during their…

A: Sample size = n = 1500 Sample mean = m = 50,970 Sample SD = s = 12,976  The average alumni who…

Q: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

Q: What is the corresponding Z- score, mean is 110, standard deviation is 8 and x is 90

A: In question, We'll find the Z - score for mean 110, standard deviation 8 and x = 90. The solution is…

Q: Assume that the number of pieces per bag has a mean of 264 with a standard deviation of 3. use the…

A: Given :  the number of pieces per bag has a mean of , μ=264  a standard deviation of , σ =3   We…

Q: At Northwest Nursing School, the average score a student must make on and entrance exam is 142…

A: The objective of this question is to find the cutoff score that a nurse must make to be considered…

Q: A distribution consists of three requencies 250, 300, 350 having neans 30, 15 and 20 and standard…

A: We have given that  Size N1=250 , N2=300, N3=350 Sample mean xbar1 =30 , x2=15 , x3=20 Standard…

Q: An IQ exam has a mean of 110 and a standard deviation of 12. What percent of people have an IQ score…

A: Given mean= 110 Standard deviation=12 We know that Z=X-mean/standard deviation

Q: Use the range rule of thumb to identify the values that are significantly low, the values that are…

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Q: The salaries of a company's employees are normally distributed with mean 15000 and standard…

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Q: A teacher says that the top 9​% of the class received an A on the last test. The scores were…

A: Given that the mean is 67 and the standard deviation is 18. That is, μ=67, σ=18 A teacher says that…

Q: there are 300,000 people review  for the movie  pupulation mean is 7.2 stars and standard deviation…

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Q: Use Chebyshev's theorem to solve the problem. Find the least possible fraction of numbers in a data…

A: Consider that a random variable X has expected value μ and standard deviation, σ. Now, according to…

Q: If the main level of snowfall for Boston Massachusetts is 44 inches per year and the standard…

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Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: The time taken to boil a kettle is normally  distributed with a mean of 94 seconds and  a standard…

A: The provided information is  µ=94 σ=6 P(-a<X<a)=0.40…

Q: Researchers measured the waist sizes of 230 men in a study on body fat. The true mean and standard…

A: Suppose researchers measured the waist sizes of  men in a study on body fat. The true mean:…

Q: Suppose the prevalence of type II diabetes in a community is 36%. Researchers want to sample 16…

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Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: The mean is 500 and the standard deviation is 100.

Q: The average score of all golfers for a particular course has a mean of 76 and a standard deviation…

A: We have given information with the usual notation, Let X denote the score of golfers for a…

Q: Would you be able to help with Standard Deviation along with the range, mean, mode, and median?

A: Measures of variability:The measure of variability or the measures of dispersion can be measured…

Q: An entrance examination is to be conducted to 1500 incoming freshmen students at Gordon College…

A: Followings are the Explanation of the question Let X be the freshmen students at GordonCollege which…

Q: he average height for a man in California was 177 cm in 2021. If height follows a normal…

A: given data, normal distribution, μ=177σ=10p(180<X<190)=?

Q: Hogie lizards have tail lengths that are normally distributed with a mean of 22.5 cm and a standard…

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Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: Use Chebyshev's Theorem to find what percent of the values will fall between 120 and 150 for a data…

A: The percentage of observations that are within k std dev. of the mean is 100(1-1k2)%

Q: Each year students in a local school district write a national examination. The average on this…

A: Average of a dataset is the mean value of the observations in the data and it is computed by…

Q: A study conducted by the Center for Population Economics at the University of Chicago studied the…

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Q: What is the mean absolute deviation of 5 scores if their deviation from the mean are 6, -5, 4, 3 and…

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Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

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Q: A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose…

A: A) option A is the answer. Answer : Since the distribution of time spent eating and drinking each…

Q: The average score of all golfers for a particular course has a mean of 64 and a standard deviation…

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Q: percent of men meeting these height requirements.

A: Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a…

Q: Let X be the resting heart rate of a physically fit man. Assume that the resting heart rate for fit…

A: Let X be the resting heart rate of a physically fit man. Assume that the resting heart rate for fit…

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that   x̄ = 14 , μ = 16 , ? = 7 , n = 4