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Statistics question and answers for August 10, 2023

Q Teams A and B play in a basketball tournament. The first team towin two games in a row or a total of three games wins thetournament. What is the number...

Q Themeantime between failures (in hours) for a company used is 420.after 15 new things were modified an attempt to improvereliability, tests we're conducted to measure the times betweenfailures. the mean...

Q There are 15 light bulbs of which 5 are defective. In how manyways can six light bulbs with exactly one defective be chosen?C(15,6)C(10,5)*C(5,1)P(10,5)*P(5,1)P(15,6)How many ways are there to fill out...

Q In the following statements f(theta; x) is the likelihoodfunction. Select which of the following are true statements aboutmaximum likelihood estimates (MLE's).Hint: In general, maximizing a function f(x) is equivalentto minimizing...

Q n a test of the effectiveness of garlic for loweringâ€‹cholesterol, 8181 subjects were treated with raw garlic.Cholesterol levels were measured before and after the treatment.The changesâ€‹ (before minusâ€‹ after) in...

Q In an article in the Journal of Advertising, Weinberger andSpotts compare the use of humor in television ads in the UnitedStates and in the United Kingdom. Suppose that independent randomsamples...

Q Let estimator Ï€(hat) = X(bar) for X1, X2, . . . , Xn,Xi âˆ¼ Bernoulli(Ï€)Recall: P(X = x) = Ï€x (1 âˆ’ Ï€)1âˆ’x , x âˆˆ {0,1}E(X) = Ï€V(X) =...

Q Consider the following study results concerning Age and ChurchAttendance:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â AgeChurchAttendanceÂ Â Â Â Â Â Â Â Â 20-29Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 30-39Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 40-49Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 50-59Yes21Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 63Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 94Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 72No69Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 87Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 106Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 78Test to see if the proportion of people who attend church is thesame for all age groups (95% confidence).What is the value...

Q Son's HeightÂ Â Father's Height64.4 7969.2 67.176.4 70.969.2 66.878.2 72.876.9 70.471.8 70.379 70.175.8 79.572.3 65.569.2 65.466.9 69.164.5 74.5To test the claim that sons are taller than their fathers onaverage, a researcher...

Q A researcher would like to determine if theproportion of households without health insurance coverage differswith household income. Suppose the following data were collectedfrom700700randomly selected households. Complete parts a through c.Heath...

Q Suppose you wish to find out the answer to the questions â€œDoAmericans prefer Coke or Pepsi?â€ You conduct a blind taste test inwhich individuals are randomly asked to drink one...

Q NurseÂ Â Â Â Â Â Â Â Â Â Â Pretest -ScoreÂ Â Â Â Â Â Â Â Â Â Post-test ScoreAÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 63Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 81BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 89Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 90CÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 76Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 89DÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 71Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 76Â Â Â Â Â Â Â EÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 90Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 90Â Â Â Â Â Â Â FÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 56Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 78Â Â Â Â Â Â Â GÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 78Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 82- Conduct a t-test on the data and report yourinterpretation of the output.

Q Given a random variable X having a normal distribution withÎ¼=50, and Ïƒ =10. The probability that Z assumes a value between 45and 62 is: ___________.

Q The number of contaminants in samples of one cubic centimetre ofpolluted water has a Poisson distribution with a mean of 1.a. What is the probability a sample will contain some...

Q In an experiment to compare two diets for fattening beef steers,nine pairs of animals were chosen from the herd: members of eachpair were matched as closely as possible with respect...

Q Here are summary statistics for randomly selected weights ofnewbornâ€‹ girls: nequals193â€‹, x overbarequals32.2 â€‹hg, sequals6.4hg. Construct a confidence interval estimate of the mean. Use a90â€‹% confidence level. Are these results...

Q A genetic experiment with peas resulted in one sample ofoffspring that consisted of 404 green peas and 154 yellow peas.a. Construct a 95â€‹% confidence interval to estimate of thepercentage of...

Q Suppose X1; : : : ; Xn is i.i.d Exponential distribution withdensityf(xjÎ¸) = (1/Î¸) * e(-x/Î¸); 0 â‰¤ x < 1; Î¸ > 0:(a) Find the UMVUE (the best unbiased...

Q The overhead reach distances of adult females are normallydistributed with a mean of 205 cm and a standard deviation of 8.9cm .a. Find the probability that an individual distance is...

Q A simple random sample of size 44 has mean 3.01. The populationstandard deviation is 1.51. Construct a 90% confidence interval forthe population mean.1.The parameter is the population (choose one) mean,...

Q A major automobile company claims that its New electricpowered car has an average range of more than 100 miles. A randomsample of 50 new electric cars was selected to test...

Q please describe with examples the relationship betweenconfidence intervals and hypothesis testing.

Q A study of the pay of corporate chief executive officers (CEOs)examined the increase in cash compensation of the CEOs of 103companies, adjusted for inflation, in a recent year. The meanincrease...

Q If n=560 and p' (p-prime) = 0.87, construct a 99% confidenceinterval.Give your answers to three decimals.

Q A sample of final exam scores is normally distributed with amean equal to 26 and a variance equal to 16.(a) What percentage of scores are between 22 and 30? (Round...

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