14. Question: The population standard deviation for the body weights for employees of a company is 10 pounds. If we want to be 95% confident that the sample mean is within 3 pounds of the true population mean, what is the minimum sample size that should be taken. 15. Question: The length, in words, of the essays written for a contest are normally distributed with a population standard deviation of 442 words and an unknown population mean. If random sample of 24 essays is taken and results in a sample mean of 1330 words, find a 99% confidence interval for the population mean. Round to two decimal places.

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Q: FA 2 0 2 O O 10.0 O O O 12.5 15.0 O pred O O O 17.5 20.0 O

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Q: b) Let X₁, X₂, X, denote a random sample of size n from a distribution with probability density…

A: f(x; θ)=θ(1-x)-(1+θ) x>0

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Q: 55 64.1 58.2 37.1 47 48.1 66.4 72.7 67.1 56.3 74.7 34 69.8 59.7 196.8 y 709.4 2101.8 -3898.7 556.1…

A: Formula for correlation coefficient :  r = n∑xy-∑x∑yn∑x2-∑x2n∑y2-∑y2

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A: Given that  H0 : p = 0.5 , H1 : p = 0.1

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A: since we know that discrete data: Discrete data  is a data thatcan be counted while on the other…

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A: Given,mean(μ)=1.1standard deviation(σ)=4.6

Q: Z -.5 0 2 What does the red area indicate? Op(2>Z>-.5) p(-.5>Z>2) p(2> Z) or p(Z > -.5) p(-2 > Z) or…

A: Given information- We have given the normal distribution graph. We have to determine what does the…

Q: a) Let X₁, X₂,..., X₁, denote a random sample from N(0, ²) distribution with probability density…

A: Given that b....Show that S2 is consistent estimator of σ2

Q: 2. Let X and Y be random variables. Prove that px,x| = 1 if and only if Y = a +bX for some a, b E R.

A: If Y= a+bX  ........(i) Then expected Value of Y:  E(Y)= a+bE(X) Multiply equation (i) by X. XY=…

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A: The total number of students is n = 373.

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A: Given,mean(μ)=170standard deviation(σ)=10A raw score(X)=198

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A: Result: When p value close to zero or smaller than level of significance ɑ, then we have strong…

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A: A hypothesis is any statement which may be rejected based on a certain set of evidences.   The…

Q: b) Let X₁, X₂,..., Xn denote a random sample of size n from a distribution with probability density…

A: Given information: The p.d.f is given  f(x,θ)=θ(1-x)-(1+θ)   ,x>00…

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A: Option 2nd  is correct  X1 is Random variable x1 is a value of Random variable X1

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A: Given that  Number of trials n=22 Probability of success p=0.6 X~bin(n,p)

Q: Both data sets have a mean of 175. One has a standard deviation of 16, and the other has a standard…

A: The stem-and-leaf plots are given and the one has a standard deviation of 16 and other has a…

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A: Given Information: The hypothesized value of population standard deviation is σ0=1.40 Sample size…

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A: given datanormal distributionμ=75.5σ=3.5n1=8         to     n=51

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Q: Test the given claim. Assume that a simple random sample is selected from a normally distributed…

A: The question is about hypo. testing  Given : Data :  -44, 75, -21, -72, -45, 10, 18, 53, -8, -52,…

Q: 8.40 Suppose that the random variable Y is an observation from a normal distribution with unknown…

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Q: The score distribution of a standardized aptitude test is roughly normal, with a mean of 500 and a…

A: From the provided information, Mean (µ) = 500 Standard deviation (σ) = 95 X~N (500, 95)

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A: Given  75, 61, 75, 61, 60, 75, 70 and 65 Sample =8 Population standard deviation=5

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A: Here Given  ON Monday No of employees interviewed on Monday = 3 + 3 + 1 +5 = 12 No of waiters= 3 Now…

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A: Given,P-value=0.0411we know that if  P-value is less than level of significancethan we reject H0.…

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Q: QUESTION 1 In the hypotheses Hл=0.40, Hл>0.40, at 5 % level of testing significance. if the sample…

A: The following information has been provided: H0:π=0.40H1:π>0.40 The sample size is n=49. The…

Q: Hypothesis: H0: Ud is greater than or equal to 0 Ha: Ud is less than 0 Decide if we reject H0 or…

A: From above output Lower 95% =-26.462  Upper 95% =-0.871

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A: Given that  Sample size = 310 , Mean = 9.9 , Sample standard deviation = 4.1

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A: win $ 50 if choose 3 numbers from 12 numbers in drawing.  order of selection matters.  no. of ways…

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A: Given information- We have given the following scores- x y 3 4 0 1 6 6 3 1 We have to…

Q: Find the probability that the number x of correct answers is fewer than 4.

A: Let p be the probability of correct answer. Given that p = 0.4 Let X denote the number of correct…

Q: Find the area of the indicated region under the standard normal curve between -1.91 0.45

A: Find the area of the indicated region under the standard normal curve between -1.91 0.45

Q: Average wages of some firms are given below represent this by simple bar diagram Firm: Average wage:…

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Q: Suppose 2000 widgets are produced per hour by a machine and when the machine is operating under…

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Q: A normal population has a mean 100 and variance 25. How large must the sample size be if we want the…

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Q: From 1776-1800, the average age of first marriage for a male in Western Europe was 27.1 years, with…

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