A variable is normally distributed with mean 12 and standard deviation 4 a.) find the percentage of all possible values of the variable that lie between 4 and 16 b.) find the percentage of all possible values of the variable that exceed 6 c.)find the percentage of all possible values of the variables that are less than 2

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

A:

Q: Assume the random variable X is normally distributed with a mean of μ=62 and a standard deviation of…

A: Given that.   X~N( μ , ?^2 )   μ=62     , ?=8     Z-score =( x - μ )/?

Q: Tires of a particular brand have a lifetime mean of 29,000 miles and a standard deviation of 3,000…

A: Chebyshev's theorem and empirical rule are used to calculate the percentages of data lies within…

Q: Assume that women's weights are normally distributed with a mean given by u = 143 Ib and a standard…

A: The provided information are: Population mean (µ) =143 Population standard deviation (σ) = 29…

Q: (b) The amount of money spent on groceries per year by the residents of a housing area is normally…

A:

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: Given a dataset: {x1, X2, Xn}, .... a) write down the formula for the standard deviation (T ). (b)…

A:

Q: If the sum of the weights of a sample of cows is (8568) kilograms and the standard deviation of the…

A: If the sum of the weights of a sample of cows is 8568 kg standard deviation of the weights is 21 kg…

Q: The IQs of 300 applicants to a certain college are approximately normally distributed with a Mean of…

A: The mean and standard deviation are given by μ=115,σ=12 The probability of getting a score more…

Q: A population has a mean of μ = 30 and a standard deviation of σ = 8 A) If the population…

A: (a) Obtain the probability of obtaining a sample mean greater than M= 32 for a sample of n= 4 if the…

Q: If random samples, each with n = 25 scores, are selected from a normal population with p = 80 and a…

A: Given information Mean µ = 80 Standard deviation σ = 20

Q: If z, and x be 2 values of a variable x and each of the remaining (n – 2) values be +), find the…

A:

Q: Suppose that in a given semester, the MEAN of units taken by students at Delta is 17 and has a…

A:

Q: given the normally distributed variable xwith the mean 50 and standard deviation 7, find p (56]x[68)

A: Given: μ=50 and σ=7. The z-score is calculated as-z=x-μσ

Q: average heigth is 163 cm, standart deviation is 10 cm. compute p(X>168 cm) ?

A: Given,μ=163σ=10P(X>168)=?

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

A: Given that mu =5.67,s.d =0.07

Q: Solve the problem  27.) If the life, in months, of a certain type of car battery is normally…

A: Solution: It is given that the life of a certain type of car battery is normally distributed with a…

Q: Suppose a population is known to be normally distributed with à méáñ, µ, équal tó 144 and a standard…

A: Given that  A population is normally distributed Mean (μ) = 144 Standard deviation (σ)= 27   We know…

Q: Assume that women's weights are normally distributed with a mean given by u = 143 lb and a standard…

A: Let X be the weight of a randomly selected women. X~N(143 lb, 292lb) (a) P(X>174)…

Q: The heights of students from a certain school are normally distributed with mean 106 cm and standard…

A: x=100.64

Q: The weights of all newborn babies are normally distributed with a mean of 8 pounds and a standard…

A:

Q: If X~N(100, σ 2 ) and P(X < 106) = 0.8849, find the standard deviation, σ.

A: Here,X~N(μ,σ2)so,Here X~N(100,σ2)   → 1

Q: Given: Two shares X and Y. The ARR for X is 24%, and the standard deviation is 12%. The ARR for Y is…

A:

Q: Suppose that the newborn weights are normally distributed with a mean of m kg and a standard…

A: We have given that  Mean(µ) = mStandard deviations (σ) = 0.8

Q: Find the mean deviation about the A.M. of each of the following distributions : 2,4,6,8,10,12,14,16

A: Mean of the given data=Sum of all termsTotal Number of terms x=2+4+6+8+10+12+14+168=728=9

Q: 3b. If the writing scores have a population standard deviation of o = 10, what conclusion should we…

A: Given  A random sample of size ( n ) = 25 is taken  The average grade ( M ) = 76 µ = 70

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: Suppose that an airline uses a seat width of 16.3 in. Assume men have hip breadths that are normally…

A: It is given that the mean is 14.5 and the standard deviation is 1.

Q: Suppose the data have a bell-shaped distribution with a mean of 30 and a standard deviation of 5.…

A: Given data ,u=30σ=5

Q: 1) Assume that the heights of men are normally distributed with a mean of 69.8 inches and a standard…

A: From the given information, The heights of men are normally distributed with a mean of 69.8 inches…

Q: Find each of the requested values for a population with a mean of  = 40, and a standard deviation…

A: (1)   (A) Obtain the z-score corresponding to X = 52. The z-score corresponding to X = 52 is…

Q: 7. Suppose the length of newborn babies in a community is normally distributed with an average of 50…

A: We have given that  Mean=mu=50 Standard deviation=sigma=3 X~Normal(mu=50,sigma=3)

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: distributed, with mean μ=55 and standard deviation σ=4. Find the 6th percentile

A: We have given that, Population mean (μ) = 55 and standard deviation (σ) = 4 Then,  We will find the…

Q: 11. Assume that the weights of individuals are independent and normally distributed with a mean of…

A: Given data Assume that the weights of individuals are independent  with mean of 160  and standard…

Q: Choose a random five single digit numbers and calculate the standard deviation. X {…. , ….. , ….. ,…

A: There are total 10 single digit numbers available, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Out of these 10…

Q: A certain data set has a mean of 60 and a standard deviation of 12. Given that the data set has 120…

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Q: A population of scores has u = 50 and o = 5. If every score in the population is multiplied by 3,…

A: If a constant value multiplies to each score in distribution, then the mean and standard deviation…

Q: a- using the expected value method, b- using the standard deviation c-using Coefficient of variation…

A: a) Alternative A E[X]=0.2*30,000+0.5*25,000+0.3*20,000 =24,500 Alternative B…

Q: Claim: The standard deviation of pulse rates of adult males is less than 11 bpm. For a random sample…

A: Given that  Claim : The standard deviation of pulse rates of adult males is less than 11 bpm Random…

Q: If the probability of a defective bolt is 0.1, find he mean he standard deviation for the…

A: a) If the probability of a defective bolt is 0.1. Given that there are total of 400. That is, n=400…

Q: If the standard error of the mean for the sampling distribution of random samples of size 25 from a…

A: Given:

Q: 1. The test scores in MAT 152 are normally distributed with a mean of 95 and a standard deviation of…

A:

Q: A distribution with u = 55 and o= 6 is being standardized so that the new mean and standard…

A: Introduction: For a random variable, X with mean μ, and standard deviation σ, the z-score is given…

Q: The standard deviation of the base price of a certain type of all-terrain vehicle is equal to $322.

A:

Q: a distribution with a mean of u=41 and a standard deviation of 4 is transformed into a standardized…

A: Obtain the new score transformed value for x=39. The new score transformed value for x=39 is…

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: Suppose that the weights of people who work in an office building are normally distributed with a…

A: From the provided information, Mean (µ) = 165 lb Standard deviation (σ) = 25 lb X~N (165, 25)

Q: The weights of a certain dog breed are approximately normally distributed with a mean of u = 53…

A: Given that  The weights of dog are normally distributed. Mean (μ) = 53 pounds Standard deviation (σ)…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.