(c) What proportion of the bond mutual funds are within one standard deviation of the? mean? The...
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(c) What proportion of the bond mutual funds are within one standard deviation of the? mean?
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The data set below on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set below on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. Use the information in the table below to complete parts (a) through (d). Then complete part (e). Bond mutual funds 3.3 2.0 2.5 1.7 1.9 3.5 2.8 2.1 Stock mutual funds 9.5 9.2 8.5 8.2 7.7 7.5 7.3 7.0 (a) Determine the mean and standard deviation of each data set. The mean of the data set for bond mutual funds is 2.475. (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation of the data set for bond mutual funds is 0.669. (Type an integer or decimal rounded to three decimal places as needed.) The mean of the data set for stock mutual funds is 8.113. (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation of the data set for stock mutual funds is 0.903. (Type an integer or decimal rounded to three decimal places as needed.) (b) Based only on the standard deviation, stock mutual funds have more spread. (c) What proportion of the bond mutual funds are within one standard deviation of the mean? (Type an integer or decimal rounded to three decimal places as needed.) The data set below on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set below on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. Use the information in the table below to complete parts (a) through (d). Then complete part (e). Bond mutual funds 3.3 2.0 2.5 1.7 1.9 3.5 2.8 2.1 Stock mutual funds 9.5 9.2 8.5 8.2 7.7 7.5 7.3 7.0 (a) Determine the mean and standard deviation of each data set. The mean of the data set for bond mutual funds is 2.475. (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation of the data set for bond mutual funds is 0.669. (Type an integer or decimal rounded to three decimal places as needed.) The mean of the data set for stock mutual funds is 8.113. (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation of the data set for stock mutual funds is 0.903. (Type an integer or decimal rounded to three decimal places as needed.) (b) Based only on the standard deviation, stock mutual funds have more spread. (c) What proportion of the bond mutual funds are within one standard deviation of the mean? (Type an integer or decimal rounded to three decimal places as needed.)
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