(1) Drinking A national health organization, concerned about drinking in middle school students, surveyed 220 randomly selected US 8th-grade students and found that 18 of them had had a drink of alcohol in the past month. (a) Verify that the sample is large enough to proceed (for the Central Limit Theorem to apply).
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(1) Drinking A national health organization, concerned about drinking in middle school students, surveyed 220 randomly selected US 8th-grade students and found that 18 of them had had a drink of alcohol in the past month.
(a) Verify that the sample is large enough to proceed (for the Central Limit Theorem to apply).
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- Prove the conjecture made in the previous exercise.According to the Central Limit Theorem, the distribution of sample means is NOT normal if _________________. A) The population from which the samples are selected is not normally distributed and the sample size is small (n < 30). B) The population from which the samples are selected is not normally distributed and the sample size is large (n >= 30). C) The population from which the samples are selected is normally distributed and the sample size is small (n < 30). D) The population from which the samples are selected is normally distributed and the sample size is large (n >= 30).Sixty-seven percent of the U.S households, or about 85 million families, own a pet, according to the 2019-2020 national pet owners survey conducted by the American pet products association (APPA). A small pet shop opens in your neighborhood and randomly and independently select 800 families to attend the grand opening of the store. Check the conditions of the central limit theorem for this scenario. What is the size of the population?
- Answer the following question accordingly: When should you use the Central Limit Theorem? Is it only used to create a bound that tells where the results are typical or surprising?The limit is a right-hand of left-hand Rienmann sumThis problem is related to the central limit theorem and all the steps and formulae are clear but for the last line with a 1-2P(Z>0.9) - how is this arrived at. Attached problem.
- 7 What is f(x)=?+?+?+?+? And What is the radius of convergence? R=?Let x1 > 1 and xn+1 = 2 − 1 / xn for n ≥ 2. Show that ( xn ) converges and find its limit.GMU uses a robot food delivery service which now has been utilized in the City of Fairfax. One of the potential benefits of this service is to help the busiest students eat breakfast. Research has shown that about 80% of college students skip breakfast due to busy schedules and other reasons. Initial data were collected from a random sample of 595 Mason students who utilize the robot food delivery service and are presented in StatCrunch e) Check the three conditions of the Central Limit Theorem that allow you to use the one- proportion z-test using one complete sentence for each condition. Show work for the numerical calculation. You can assume the population is large. f) Calculate the test statistic “by-hand.” Show the work necessary to obtain the value by typing all the steps needed and the resulting test statistic. Do not round while doing the calculation. Then, round the test statistic to two decimal places. g) Calculate the p-value using the standard Normal table and…
- Can I have a detailed, step-by-step explanation for the following question(Except the part that asks to mention the Central Limit Theorem)? Thank you very much!Find the moment-generating function of the continuous random variable X whose probability density is given by f(x) = 1 for 0 < x < 1 0 elsewhere and use it to find μ’1,μ’2, and σ^2.(c) A sequence (fn) of differentiable functions such that both (fn) and (fn )converge uniformly but f = lim fn is not differentiable at some point