This Question: 1 pt Using the accompanying table of data, blood platelet counts

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This Question: 1 pt Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.5. (All units are 1000 cells ?? Using Cheb hev s theorem, what is known about the percentage of women with platelet counts that are within 3 standard de ations of the mean? What are the minimum and maximum possible platelet counts that are within 3 standard deviations of the mean? EEB Click the icon to view the table of platelet counts. Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 3 standard deviations of the mean? At least % of women have platelet counts within 3 standard deviations of the mean. (Round to the nearest integer as needed.) What are the minimum and maximum possible platelet counts that are within 3 standard deviations of the mean? The minimum possible platelet count within 3 standard deviations of the mean isThe maximum possible platelet count within 3 standard deviations of the mean is (Type integers or decimals rounded to one decimal place as needed.) Enter your answer in each of the answer boxes. H6.2 OH6.3

Explanation / Answer

a) According to chebyshev's inequality theorem, at least 1 - 1/k2 of the observations lies within k standard deviations from the mean.

Therefore, for k = 3, we get:

1 - 1/32 = 8/9 = 88.889%

Therefore 88.889% is the required answer here.

b) The minimum and maximum platelet count within 3 standard deviations form the mean is computed as:

Min: Mean - 3*Std Dev = 255.1 - 3*65.5 = 58.6
Max: Mean + 3*Std Dev = 255.1 + 3*65.5 = 451.6

Therefore 58.6 is the minimum value and 451.6 is the maximum value.

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