The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standard deviation of σ = 100. For the population of students who have taken the SAT: What proportion have SAT scores greater than 685? Include the 0 before the decimal point and leave four places after the decimal point

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: given data, normal distribution , μ=100σ=15we have to find out the shaded region for the given…

Q: IQ scores form a normal distribution with u=100 and σ=15. Individuals with IQs between 90 and 110…

A: It is given that the mean is 100 and the standard deviation is 15.

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: A normal distribution has a mean of 50 and standard deviation of 5. For each of the following…

A: From the provided information, Mean (µ) = 50 Standard deviation (σ) = 5 X~N (50, 5)

Q: n a set of score, the coefficient of variation (in percentage terms) = 50% and standard deviation =…

A: The coefficient of variation is the ratio of the standard deviation to the mean. It is a measure of…

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A:

Q: Find the standard deviation (rounded to the nearest unit) for the data indicated

A: We have to find the standard deviation based on the given frequency distribution.

Q: Calculate the sample standard deviation for this data set: 65, 48, 70. The formula for the sample…

A:

Q: Scores for a civil service exam are normally distributed, with a standard deviation of 8. To be…

A:

Q: A math class completes an exam and it is found that the class mean is 85 and the standard deviation…

A: The Chebyshev's theorem and Empirical rule is use to calculate the proportion or percentages of…

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: Given data isMean(μ)=1.665standard deviation(σ)=1.048 Tax Rate Frequency 0.00-0.49 6…

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: By empirical rule, 68% of data falls within one standard deviation. Thus, based on given info,…

Q: (Simplify your answer.) (Simplify your answer.)

A: It is given that  Mean, μ = 73 Standard deviation, σ = 6 Sample size, n = 36

Q: Scores range from 0 to 200. The mean for Canadian college students is about 115, and the standard…

A: The given data is as follows:Population mean, Population standard deviation, Sample size, Sample…

Q: he frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: By using frequency distribution approximate population mean and population standard deviation.

Q: Given a set of scores below, write down the scores one, two, and three standard deviations above the…

A:

Q: e z scores to compare the given values. recent awards ceremony, the age of the win the standard…

A: Actor=X , Actress=Y X=35  ,  Mean=47.6 , Standard deviation=6.7 Y=48  , Mean=35.6 , Standard…

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: According to Empirical rule (68-95-99.7 rule) Given that the middle 68% of the scores fall…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105   and a standard…

A: It is given that the mean and standard deviation are 105 and 15, respectively.

Q: .... The indicated IQ score, x, is (Round to one decimal place as needed.)

A:

Q: The weekly mean income of a group of executives is $1,000 and the standard deviation of this group…

A:

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: Given: The middle 68% of the scores are falling between 70 and 84.

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A:

Q: A distribution of data has a mean of 26 and a standard deviation of 2. How many standard deviations…

A: Population mean μ =26 Population standard deviation =2

Q: The mean and standard deviation for the final exam in Dr. Fudd's class were as follows: mean = 86…

A: Given that  Mean = 86  ,  Standard deviation = 3  Bugs scored = 88

Q: Find Mean Deviation: (i) about Mean (ii) about Median, in the following data: 2, 7, 9

A:

Q: Assume that 1,500,000 people take the ACT each year and their scores form a normal distribution. If…

A: Given that,1,500,000 people take the ACT each year and their scores form a normal distribution. We…

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A:

Q: Solve each word problem. Show the conversion of raw score to z-score. Illustrate the appropriate…

A: Let X be the mean score  X ~ N (μ, σ) Given mean μ = 72 Standard deviation, σ = 6

Q: SAT tests have a mean of 500 and a standard deviation of 100. They are normally distributed. Amy got…

A: Given data normally distributed with mean = 500 and standard deviation = 100.Let ‘X’ be a normal…

Q: Find the number of standard deviations from the mean. Round your answer to two decimal places.  The…

A: Given information: The annual snowfall in a town is distributed with mean 35 inches and standard…

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: Given , the frequency distribution,  we need to find the population mean and population standard…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.