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Home Question Bank Math Statistics Archive 2024 November 10

Statistics Questions from Nov 10,2024

Browse the Statistics Q&A Archive for Nov 10,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Suppose that the efficacy of a certain drug is 0.64 . Consider the sampling distribution (sample size \( n=177 \) ) for the proportion of patients cured by this drug. What is the mean of this distribution? What is the standard deviation of this distribution? (Round answer to four decimal places) A manufacturer knows that their items have a lengths that are skewed right, with a mean of 17 inches, and standard deviation of 3.3 inches. If 34 items are chosen at random, what is the probability that their mean length is greater than 16.9 inches? (Round answer to four decimal places) - An experiment on the side effects of pain relievers assigned patients with arthritis to take one of several over-the-counter pain medications. Of the 440 patients who took one brand of pain reliever, 23 suffered some "adverse symptom". An experiment on the side effects of pain relievers assigned patients with arthritis to take one of several over-the-counter pain medications. Of the 440 patients who took one brand of pain reliever, 23 suffered some "adverse symptom". Select the correct \( P \)-value. 0.0 .004 A population has parameters \( \mu=28.4 \) and \( \sigma=66.2 \). You intend to draw a random sample of size \( n=130 \) What is the mean of the distribution of sample means? \( \mu_{\bar{x}}=\square \) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) \( \sigma_{\bar{x}}= \) Suppose \( 52 \% \) of the students in a unlversity are baseball players. If a sample of 436 students is selected, what is the probability that the sample proportion of baseball players will be greater than \( 45 \% \) ? Round your answer to four decimal places. Calculate the standard score ( \( z \)-score) of the given sample mean. Round your answer to two decimal places. \[ \mu=57 \text { and } \sigma=14 ; n=38 ; \bar{x}=62 \] The general rule for the use of the Central Limit Theorem to reasonably assume that \( \bar{x} \) is normally distributed When the distribution of \( X \) is unknown or known to be skewed is for sample sizes greater than or equal to 30. False True ONLY If false, change the underlined portion by putting the correct answer here (leave blank if true): Suppose cattle in a large herd have a mean weight of 1169 lbs and a variance of 17,161 . What is the probability that the mean weight of the sample of cows would be less than 1156 lbs if 145 cows are sampled at random from the herd? Round your answer to four decimal places. Can a normal approdimation be used for a sampling distribution of sample means from a population with \( \mu=46 \) and \( \sigma=8 \), when \( n \neq 81 \) ? Answer 2 Points O No, because the standard deviation is too small. O Yes, because the sample size is at least 30. O Yes, because the mean is greater than 30. ONo, because the sample size is more than 30.
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