11. Chebyshev's Theorem states that the percentage of measurements in a data set that fall within two standard deviations of their mean is: a) 75% b) At least 75% c) 88.89% d) At least 88.89%.

Q: Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard…

A:

Q: according to chebyshev's theorem, at least 88.9% of data will be between   Mean=15.4  Standard…

A: Chebyshev's theorem gives the minimum proportion of the data which must lie within a given number of…

Q: b) Some engineering components have a mean length of 20 mm and a standard deviation of 0.25mm.…

A: Given problem is :

Q: .Suppose a population is known to be normally distributed with a mean, u, equal to 144 and a…

A: Given data,μ=144σ=27P(90<144)=?

Q: Suppose that the manager of a construction supply house determined from historical recordsthat…

A: a) The expected lead time demand = 50 tons. Risk = 3% The demand during lead time is normally…

Q: An auditor finds that the values of a corporation’s accounts receivable have a mean of $295 and a…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: Suppose that the mean cranial capacity for men is 1090 cc (cubic centimeters) and that the standard…

A:

Q: 2 3. The points marked by the letter "C" in the above normal curve is known as which of the…

A: The inflection point is known as the point of curve where the curve changes concavity.

Q: 5. The lengths of walleye in a lake are normally distributed with mean 21 inches and standard…

A:

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

A: Z = x-μσ~N(0,1)

Q: If the average grade on an exam was 75% and the standard deviation was 4%, what would the three uper…

A: Empirical rule has  Upper limit  Mu +K. sigma

Q: A data set consists of 2m2 − 1 zeros, one −m, and one m. a. Compute x and s for this data set. b.…

A: a. The values of mean and standard deviation for the data set is,

Q: Set A has a standard deviation of 2 and Set B has a standard deviation of 5. Which statement is…

A: Solve the following

Q: 4.) Determine the range and Standard Deviation of the set of data 4, 8, 9, 11, 13, 15

A:

Q: 2. Information from the Department of Motor Vehicles indicates that the average age of licensed…

A:

Q: 4. The mean of fifty sales receipts is $58.35 and the standard deviation is $10.38. Using…

A: Chebyshev's rule and empirical rule are 2 well known rules that defines the proportion of the data…

Q: According to the Chebyshev's rule, the proportion of observations within 2.5 standard deviations of…

A:

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: Consider the data set 6             7            12          18          22 together with a sixth…

A: Given Data set   6, 7, 12, 18, 22, x   Mean=6+7+12+18+22+x6=65+x6∑xi2=62+72+122+182+222+x2=1037+x2

Q: 5. Consider the observation of variable x as follows x 29 54 9 45 51 7 a. Determine the standardized…

A: (a). Standardized version of x: Z-score: The Z-score measures a particular value’s relationship to…

Q: According to a college survey, 22% of all students work full time. Find the standard deviation for…

A:

Q: b- Find out which is more dispersion variable (X) or variable (Y). if the Arithmetic Mean and the…

A:

Q: 24. Assume that the resting heart rate in humans is normally distributed with a population mean of…

A: X be the resting heart rate in humans is normally distributed with a population mean μof 72 bpm and…

Q: - Assuming that 60 students in a class have the normal division of height with an arithmetic mean of…

A:

Q: 4) According to one pollster, 59 % of people are afraid of flying. Suppose that a sample of size 26…

A:

Q: 6.21. For two observations 'a' and 'b', show that standard deviation is half the disto between them.

A:

Q: A normel curve with a mean of 400 and a standard deviation of 50 is shon. Shade the rogion under the…

A: The mean is 400 and the standard deviation is 50.

Q: Consider a data set that has a mean of 20.3 and a standard deviation of 6.4. According to…

A: Given information- Population mean, µ = 20.3 Population standard deviation, σ = 6.4 We have given…

Q: In using cusum chart with n=1, the process standard deviation should be estimated in a way similar…

A: Since we have to model standard deviation in cusum chart, we can use Xbar and S charts.

Q: A population has a mean of 80 and a standard deviation of 8. Ai ralue is ndom sa O A. None of the…

A: As the sample size is higher than 30 it can be said that the distribution follows a normal…

Q: 2. The height of an adult male is known to be normally distributed with of mean of 69 inches and a…

A: X~N( μ , ?^2 )    μ =69     , ? = 2.5   Z-score =( x - μ )/?

Q: Suppose that the blood pressure of the human inhabitants of a certain Pacific island is distributed…

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Q: 4. Find the mean absolute deviation for: Cost of books in dollars: 4, 15, 8, 4, 6, 11, 1, 7, 3, 1

A:

Q: Consider a data set that has a mean of 33.7 and a standard deviation of 6.8. According to…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: Given that X is normally distributed with a mean of 50 and a standard deviation of 4, determine P(45…

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Q: b. There were 218 players in the National Lacrosse League in 2013. Assuming the mean and standard…

A: Assume, X be the random variable representing the weight of players (in lbs). It can be assumed that…

Q: 4.15. If the local restaurants in a small town record an average of 92 customers a day, with a…

A:

Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm

Q: Suppose the length of the newborn babies in a community is normally distributed with an average of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Assume that the monthly food expenditures of families of a certain size in one economic group are…

A: We have to find out given probabiity..

Q: 9.20 Consider the situation of Exercise 9.11. Esti- mation of the mean diameter, while important, is…

A: Consider the data that shows the diameters of the metal pieces.  1.01 0.97 1.03 1.04 0.99 0.98…

Q: If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard…

A: According to the Chebyshev's theorem, 1-(1/k²) of the observation fall within k standard deviation…

Q: What is the best approximation of the standard deviation ofthe measures -4, -3.0, 8, and 9?

A: Solution: Let X be the measure. The given data is –4, –3, 8 and 9.

Q: Assume a data set is normally distributed with mean 172 and standard deviation 15. If the data set…

A: The data set of 450 data values is given in the question which is normally distributed with mean 172…

Q: Compute the standard deviation of the sampled proportions if p=.8 and n=50. Round to three places.

A: Given,n=50p=0.8

Q: 6. Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard…

A: Here, µ= 5.67, σ= 0.070. The legal quarters will be accepted if coins weigh between 5.48 and 5.82.

Q: Assuming that the heights of college women are normally distributed with mean 64 inches and standard…

A: Given that μ=64 and σ=1.5 Consider the percentage of women are between 65.5 inches and 68.5 inches…

Q: (a) If the restaurant's goal is to put between I and 1.2 ounces of ketchup on each burger, about…

A:

Q: 16. Suppose that the vehicle speeds at an interstate location have a normal distribution with a mean…

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: Consider a data set that has a mean of 16.8 and a standard deviation of 5.6. According to…

A: Given,          Mean μ =16.8          standard deviation σ=5.6    given interval has atleast 93.7%…

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.