Central Limit Theorem for Sums Suppose random samples of n = 42 are collected from an unknown distribution with the properties u = 50 and o = 2. a. Determine the mean of EX. b. Determine the standard deviation of EX. (Include four decimal places.)
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- Find the probability of a and b)At test for a mean uses a sample of 25 observations. Find the t test statistic value that has a P-value of 0.10 when the alternative hypothesis is (a) H: μ#0, (b) H₂:μ>0, (c) H₂: μ<0. (a) Find the t test statistic value when H₂: μ‡0. (Round to three decimal places as needed.) ***A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100. Find the sum with a z-score of -2.4. (Enter an exact number as an integer, fraction, or decimal.) 3888.4 X How is the central limit theorem for sums z-score formula used to find the sum? Additional Materials Reading
- The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. Round values to 4 decimal places when possible. b. The standard deviation is c. The probability that the round a. The mean of this distribution is off error for a jumper's distance is exactly 0.3 is P(x-03)-d. The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5 8 mm is PC1.7 x 5.2)- that the jump's round off error is greater than 1.76 is P(x > 1.76) Find the 81st percentile. e. The probability f P(x > 1.4 x > 0.6) h. Find the mnmum for the upper quartile.Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Standardized Test Composite Scores 28633Score μ=19.7 σ=5.4 28<x<33 x A graph titled "Standardized Test Composite Scores" has a horizontal x-axis labeled "Score" from about 1 to 39 with tick marks at 6, 28, and 33. A normal curve labeled μ = 19.7 σ = 5.4 is centered above the x-axis at 19.7. Two vertical line segments extend from the curve to the x-axis at 28 and 33. The area below the curve and between the two vertical line segments is shaded and labeled 28 < x < 33. The probability that the member selected at random is from the shaded area of the graph is enter your response here. (Round to four decimal places as needed.)ind the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) Standard Error (a) σ = 18, n = 9 (b) σ = 18, n = 36 (c) σ = 18, n = 144
- show work, thumbs up for correct answerSAT math scores are normally distributed with the parameters below. μ=500σ=100μ=500σ=100 What is the probability a randomly selected score is more than 460 points ["", "", "", "", ""] What score separates the lowest 20% of scores from the rest?a) Mean b) Binomial Distribution