Use the central limit theorem ifpossible. For a sample of n =100, find the probability of asample mean being greaterthan 24 given = 22 and a- 9.The population is not normallydistributed.34.1%34.1%13.6%13.6%O 0.0131O 0.4121O 0.9869Cannot be determined because the sample size is too small. Consider the two functions below.Function #1 f(x)Function #2 h(x)g(x) = 2xh(x) = %xWhich has a larger average rate of change from x = - 1 to x = 0 ?O g(x)O h(x)Neither because they both have an equal average rate of change overthe interval.

As per our guidelines we are suppose to answer only one question1)Mean(μ)=22standard deviation(σ)=9

Answered: Use the central limit theorem if…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1 Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874. (d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)%(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ±
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I need help with parts D and C only. Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with σ = 2.9%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.1%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.1%? Use α = 0.01. (a) What is the level of significance? (Enter a number.)State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.1%; H1: μ > 4.1%; right-tailedH0: μ = 4.1%; H1: μ < 4.1%; left-tailed H0: μ > 4.1%; H1: μ = 4.1%; right-tailedH0: μ = 4.1%; H1: μ ≠ 4.1%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n is large with…
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Use the central limit theorem if possible. For a sample of n = 100, find the probability of a sample mean being greater than 24 given #=: The population is not normally distributed. 34.1% 34.1% 13.6% 22 and a-9. 13.6% O0.0131 0.4121 0.9869 Cannot be determined because the sample size is too small.