Show that if t" = (t+t) where t and ť are both most efficient estimators with variance v, then var (t') =v (1 + p). !!
Q: Calculate the sample size needed to estimate the proportion of time Dr. Knowitall spends away on…
A: The provided information is The margin of error for the proportion is E=9% E=0.09 The level of…
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Q: A USA Today/CNN/Gallup survey of 363 working parents found 204 who said they spend too little time…
A: Given n=363 x=204
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Q: 2. The number of hours spent playing video games a week by the residents of Minneapolis has a mean…
A: Answer - Given mean μ = 10 hours and Standard deviation σ = 13 hours Sample size…
Q: A simple random sample of 30 men from a normally distributed population results in a standard…
A: Solution:- from given information sample size n=30 standard deviation s=8.7 claim: The pulse rates…
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A: Given, Population proportion, p = 0.95 No. of favourable cases, x = 48 Sample size, n = 50 Sample…
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Q: If the random variable X has uniform distribution on the interval [0, a], what is the probability…
A: Solution
Q: What is the correlation between the age and monthly salary of 10 employees?
A: Given: Age Salary 38 24 33 40 30 30 36 34 31 28 38 32 29 47 35 40 33 29 30…
Q: 5. Show that given random variables X and Y, Cov(X, E(Y | X)) = Cov(X, Y).
A: For the random variable X and Y, we need to show that: Cov[X, E(Y|X)] = Cov(X,Y)
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Q: Akswer as required. A random sample of 16 light bulbs of one brand was selected to estimate the mean…
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Q: 6. On the other hand, Edward, Kiel's friend, wanted to know if there is association between whether…
A: 6. On the other hand, Edward, Kiel's friend, wanted to know if there is association between whether…
Q: Q2/ is * the arithmetic mean of the data
A: The provided information is Class frequency (f) Mid value (x) f*x 1-20 3 10.5 31.5 21-40 6…
Q: A sample of 87 body temperatures has a mean of 98.7. Assume that σ is known to be 0.5 oF. Use a 0.05…
A: A sample of 87 body temperatures has a mean of 98.7. Assume that σ is known to be 0.5 oF. Use a 0.05…
Q: Before microwave ovens are sold, the manufacturer must check to ensure that the radiation coming…
A: a) Using the given data take the values of 1 to 25 from x axis , values of 1 to 20 on y-axis and…
Q: 2. A school district is trying to determine if its standardized test scores are higher than the…
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Q: Use the Procedure for Two-Way Analysis of Variance flow chart interactive to answer the following…
A: Given a statement related to two way ANOVA. We have to choose the correct option.
Q: B. Identify the critical value and rejection region of the following problems. Sketch the curve for…
A: The provided information is µ=5α=0.02n=35x¯=4.3σ=0.5 a.The null and alternative hypothesis…
Q: A study compares the attitudes of 6 Democrats, 6 Republicans, and 6 Independents and obtains a value…
A: A study compares the attitudes of 6 Democrats, 6 Republicans, and 6 Independents and obtains a value…
Q: The target thickness of aluminum sheets produced by a machine is 5 mm. A sample of 50 sheets is…
A: Given information Hypothesized mean µ = 5 mm Sample size (n) = 50 Mean x̅ = 0.46 mm Standard…
Q: 37 69 85 102 106 112 38 86 104 107 112 41 101 105 109 117 36 42 69 101 105 110 119 36 49 69 82 102…
A: 8)
Q: 7.8 224.4 1750.32 14.3 195.5 2795.65 250- 7.0 296.3 2074.1 9.8 227.9 2233.42 200 7.8 247.0 1926.6…
A: The slope of the least square regression line is denoted by ( β1) and it's formula is defined by…
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A: Given information: The investigator is specially interested .
Q: What is the standard error of X⎯⎯⎯X¯ , the mean from a random sample of 16 fill-ups by one driver?
A: We have given that Mean, μ = 20.25 Standard deviation, σ = 2.25 Sample size, n = 16
Q: **47 The fractional half-width Aw, of a resonance curve, such as the ones in Fig. 31-13, is the…
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Q: Match each scatterplot shown below with one of the four specified correlations. a. -0.80 b. -0.25 c.…
A: Match each scatterplot shown below with one of the four specified correlation
Q: According to a 2009 Reader's Digest article, people throw away about 10% of what they buy at the…
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Q: 2. A certain chemical pollutant in the Pasig River has been constant for several years with mean…
A: The chemical pollutant in the Pasig river is constant with a mean of 34 parts per million. A group…
Q: What is the proportion of the total incidence of CHD in smokers that is attributable to smoking? Use…
A: Given Information: Total no. of participants=4560No. of Total smokers=2249No. of smokers having…
Q: High Temperatures (in °F) for Wichita, KS from September 88 73 84 80 68 66 82 87 80 73 67 65 64 82…
A: Given the data 88 73 84 80 68 66 82 87 80 73 67 65 64 82 88 78 89 84 72 63
Q: 8 Find the 75th percentile. 9 What is the percentile for 61? 10 Find the 60th percentile.
A: Percentile is the measure of location. It divide the data into 100 equal parts with 99 points. It is…
Q: Solve the following problems. Use the steps in conducting hypothesis tests. Two cyclists are…
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Q: 47 70 87 45 17 33 90 57 72 65 69 35 49 40 10 22 29 70 44 77 45 59 54 53 66 81 67 41 19 71 80 87 50…
A: Given Information: No. of observations=35Class interval size=20No. of class intervals=05
Q: Logistic and Cox proportional hazards regression are used widely in medical and epidemiologic…
A: Solution: Here, it is to decide which method of regression should prefer.
Q: ONLY ILLUSTRATE THE DISTRIBUTION OF MEAN. DO THIS TYPEWRITTEN FOR UPVOTE, NO UPVOTE FOR HANDWRITTEN,…
A: We use the standard normal z distribution table to find the probability.
Q: Individuals in a random sample of 120 were asked whether they supported capital punishment. The…
A: Sample size(n)=120 The objective is to determine whether the opinions of the individuals (as to Yes,…
Q: Given a betting game where there are balls of same and equal mass and are numbered one to fifteen…
A: The following problem follows Geometric Distribution with pmf f(x) = p(1-p)x-1 where p is the…
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Q: Nadya is worried about poor people disproportionately ex model where pollution in the area is…
A: Exposed to Pollution Variables: 1 Pollution in the area 2 Schools in the location 3 Housing…
Q: 6) In a psychology experiment, 140 students were divided into majors em phasizing left-hemisphere…
A: For the given data Perform Chi square test
Q: p = the true proportion of TU students who can distinguish the definition of astrology from…
A: It is given that True proportion, p = 73% = 0.73 The decision is “ do not reject the null hypothesis…
Q: A large department store found that it averages 362 customers per hour. Assume that the standard…
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Q: Table 1 22 33 37 53 57 69 85 102 106 112 23 33 38 53 59 70 86 104 107 112 24 35 41 54 61 70 101 105…
A: Given data arrange in ascending order 22,33,37,53,57,69,85,102,106,112…
Q: Suppose we conducted a survey, and found that of 600 people sampled, 384 preferred Candidate A. We…
A: Given information: Here, there are 600 sample pf people and 384 preferred candidate. We are…
Q: Around 4,560 participants were included in a study that wanted to see the relationship on smoking…
A: The objective is to find out the number of non-smoker participants who didn't develop CHD. The given…
Q: Create Distribution Curve (tell if data is skewed or normally dist.)
A: Skewness explains the spread of the data. There is two type of skewness, they are right and left…
Q: For the following continuous pdf, find: (a) F(X), (b) P(80 s XS 120). ( 2 x 10
A: here given Pdf of x use basic of Cumulative function
Q: (a) State the null hypothesis Ho and the alternative hypothesis H,. H = 12.9 S H p< 12.9 (b)…
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- Derive that the variance of the forecasted error using Exponential Smoothing (ES) method is given by 20² Var(et) 2 – α Where o² is the variance of individual observation and a is the parameter in the ES method. =Show that variance o? = (x²) – ((x))²Let I be an indicator variable with p(I) = {p , I=1 } {1-p , I=0}. Show that the variance of I is p(1-p)
- The lines of regression of y on x and x on y are, respectively, y = x + 5 and 16x - 9y = 94. Find the variance of x if the variance of y is 16. Also, find the covariance of x and ySuppose X~ Binom(6, p) and define an estimator T ==to estimate p. Then, variance 6. of T is, p(1–p) a) Var (T)= 6. b) Var (T) = 6 p(1 – p) c) Var (T)~ p(1-p) d) Var (T) - 36рY, = XB + ɛ, Show that the model variance in model Yi unbiased estimator of
- Suppose that f(x) = 0.125x for 0 < x < 4 Determine the mean and the variance of X.Suppose X and Y are two random variables with covariance Cov(X, Y) = 3 and Var(X) = 16. Find the correlation coefficient between X and Y.Suppose x binom(6, p) and define estimator T=x/6to estimate p. Then, variance of t is
- Suppose the random variable Y has a mean of 21 and a variance of 36. Let Z = √36 Show that #z=0. Show that o₂ = 1. (Y-21). #₂ = E(Y-D] -0--0 (Round your responses to two decimal places) o = var (Y-] )- (Round your responses to two decimal places)If X is a Poisson variable such that P(X =2) = 9P(X= 4) + 90P(X = 6), find the mean and variance of X.Show that the mean of a random sample of size n from an exponential population is a minimum variance unbi-ased estimator of the parameter θ.