Suppose the mean height for first grade Children is 90 Cm and the Standard deviation is 12 cm. Take a Sample of Size n=36 Find the 81st Percentile for the Sample mean height

Q: A group of 30 students were sampled and measured their height. The average height was 168cm, with a…

A: Obtain the weight represents the 5th percentile. The weight represents the 5th percentile is…

Q: Why is the standard deviation preferable to the range as a measure of variation?

A: A range is the most common and easily understandable measure of dispersion. It is the difference…

Q: Suppose that a distribution of 400 items has mean 130 and standard deviation 5. Find the​ z-score of…

A: Given that.   X~N( μ , ?)   μ=130     , ?=5  , x=143   Z-score =( x - μ )/?

Q: The means of two single large samples of 1200 and 2300 members are 76.5 inches and 86 inches…

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Q: Suppose the heights of 10-year-old boys in the US vary according to a normal distribution with a…

A: The objective of this question is to find the percentile of a boy with a height of 140 cm given that…

Q: The gestation period for human births can be taken as normally distributed with a mean of 256 days…

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Q: Find the regression equation, letting overhead width be the predictor (x) variable. Find the best…

A: Given the data; Overhead width(X) Weight(Y) XY X2 8.2 154 1262.8 67.24 7.9 172 1358.8 62.41…

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: A data set with an unknown distribution has mean ?=360 and standard deviation ?=20.  State Chebyshev…

A: Given , μ = 360 , σ = 20

Q: The state of California had a mean annual rainfall of 23 inches and a standard deviation of 4…

A: Answer: From the given data, Let X denotes the mean annual rainfall of California Here, X is…

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

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Q: According to the Emperical rule, 94.55% of the data would fall between what two values for a…

A: We have to find two values that consider 94.55% of the data.   i.e. approximately 95% of the data…

Q: Suppose that striped dolphin lengths are normally distributed with a population standard deviation…

A: The formula for the minimum sample size is as follows: Here, zα/2 is the critical value at 95%…

Q: The margin of error is 6, with a sample standard deviation of 20 and 92% level of confidence. Step…

A: As the population mean is estimated on the basis of sample mean, there must be some error in…

Q: A normally distributed set of data has been generated where 50% of the data lies below 97 and 70%…

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Q: Compute the standard deviation of the sampled proportions if p=.4 and n=500. Round to three places.

A: We want to find standard deviation  X~Binomial(n=500,p=0.4)

Q: uppose the distribution of heights of a group of 200 children is normal with a mean of 150…

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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: Head circumferences of some males have a bellshaped distribution with a mean of 57 centimeters and a…

A: Head circumferences of some males have a bellshaped distribution : Bell shaped distribution means…

Q: The mean and standard deviation of the sampling distribution of the mean is shown as?

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Q: A study by researchers at a university addressed the question of whether the mean body temperature…

A: Given that, A study by researchers at a university addressed the question of whether the mean body…

Q: Assume that the heights of women are normally distributed with a mean of 65.4 inches and a standard…

A: We have given that  Mean=μ=65.4 Standard deviation=σ=2.7 X~Normal(μ=65.4,σ=2.7)

Q: ticular fruits weight are normally distributed with a mean of 285 grams and a standard deviation of…

A: According to the sum, A particular fruit weight is normally distributed with a mean of 285 grams and…

Q: What proportion of people has diastolic blood pressure less than 80?

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Q: The length of pregnancies are normally distributed with mean of 268 days and a standard deviation of…

A: Given : Length of pregnancies = X  X is normally distributed  Mean of X = 268 days  Standard…

Q: Give the mean and the standard deviation of the distribution of means for mean=100; Variance=100;…

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Q: What is the equation for The standard deviation of the distribution of sample proportions

A: Let p be the population proportion of successes.

Q: Assume that a data for pulse rates of 50 participants is ollected. The mean pulse rate has the mean…

A: Range rule of thumb: The values are significant if it is lies within 2 standard deviations away from…

Q: The MF exam has a population mean of 500 and a standard deviation of 200. What are the scores for…

A: Let X=MF exam scores We have given information, The population mean μ=500 And population standard…

Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Let X be the random variable from normal distribution with mean (μ) = 103 cm and standard deviation…

Q: Part II. The incomes of the factory workers in a certain province are normally distributed with a…

A: Given mean, μ = 100 Standard deviation, σ = 10 X ~ N(μ, σ)

Q: Head circumferences of some males have a bellshaped distribution with a mean of 57 centimeters and a…

A: Head circumferences of some males have a bell-shaped distribution with a mean of 57 centimeters and…

Q: The difference in the population means divided by the population standard deviation of a study is…

A: Given that The difference in the population means divided by the population standard deviation

Q: The weight of male athletes is normally distributed with a mean of 95 kg and a standard deviation of…

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Q: Calculate the standard error for a sample mean when the population standard deviation is 221.6 and…

A: Given data N = 36 SD = 221.6