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Suppose fly balls hit to the outfield in baseball have mean distance 0f 240 feet with as standard deviation 0f 42 feet; sample of 36 hits t0 the outfield taken, Wha...

Question

Suppose fly balls hit to the outfield in baseball have mean distance 0f 240 feet with as standard deviation 0f 42 feet; sample of 36 hits t0 the outfield taken, What is the probability that the samnple Man less than 230 feet? Round your answer t0 the nearest hunelredth: Hint: let Xbe the random variable represemting the hit distanee and Iet X6al be tlc runclomn variable representing the sample mean; What is the mean and standard deviation for X? What is the mean and standard deviation for Xbar?

Suppose fly balls hit to the outfield in baseball have mean distance 0f 240 feet with as standard deviation 0f 42 feet; sample of 36 hits t0 the outfield taken, What is the probability that the samnple Man less than 230 feet? Round your answer t0 the nearest hunelredth: Hint: let Xbe the random variable represemting the hit distanee and Iet X6al be tlc runclomn variable representing the sample mean; What is the mean and standard deviation for X? What is the mean and standard deviation for Xbar? What is the question asking about X or Xbar?



Answers

Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Find the sample test statistic $R$, the number of runs. (c) Find the upper and lower critical values in Table 10 of Appendix II. (d) Conclude the test. (e) Interpret the conclusion in the context of the application. Random Walk: Bonds The following data represent annual percentage returns on Vanguard Total Bond Index for a sequence of recent years. This fund represents nearly all publicly traded U.S. bonds (Reference: Morningstar Mutual Fund Analysis). $\begin{array}{lllllllllllll}7.1 & 9.7 & -2.7 & 18.2 & 3.6 & 9.4 & 8.6 & -0.8 & 11.4 & 8.4 & 8.3 & 0.8\end{array}$ (i) Convert this sequence of numbers to a sequence of symbols $\mathrm{A}$ and $\mathrm{B}$, where A indicates a value above the median and B a value below the median. (ii) Test the sequence for randomness about the median. Use $\alpha=0.05$.


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