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Show work 11. Menhaden are an abundant but inedible ocean fish of the Atlantic and Gulf waters. The lengths of menhaden are approximately normally distributed

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11. Menhaden are an abundant but inedible ocean fish of the Atlantic and Gulf waters. The lengths of menhaden are approximately normally distributed with a mean length of 12 inches and a standard deviation of 2.5 inches. What length of menhaden is at the 84 percentile? b. 9.5 C. 17 d. 12 e. 14.5 a. 10.08 12. Which of the following is not resistant to the outliers in a data set? interquartile range b. trimmed mean C. median d. variance e. All are resistant measures. 13. Which of the distributions to the right has the larger standard deviation? a. The standard deviations are equal since the means are equal. b. The standard deviations are equal since the ranges are equal. C. The standard deviations are equal since both distributions are symmetric. d. The standard deviation of distribution A is larger. C. The standard deviation of distribution B is larger. 14. Which of the following statements is false? a . According to the Empirical rule, approximately 95% of the observations are within two standard deviations of the mean in a normal distribution. JO . In a normal distribution, as the standard deviation increases, the density curve becomes taller and thinner. C. The mean of z-scores is always zero. d . A density curve is always on or above the horizontal axis. e . The area under a density curve is always equal to one no matter what the shape of the curve. 15. Consider the following frequency distributions. Which of the following statements is false? a . The mean of the two distributions is the same. Distribution A Distribution B b . The range of the two distributions is the same. Value Frequency Value Frequency C . The standard deviation of the two distributions is the same. d . The sample size for the two distributions is the same. 10 e . The median of the two distributions is the same. 20 10 10

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