sample standard deviation for the following scores: -8, 4, -7, 6, 8, 5, -7, -9, -2, 0
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X is a discrete variable . The sample standard deviation is a measure of dispersion which is calculated by the following formula
where n is the sample size.
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- Blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4 (all units are 1000 cells/µL). Using the empirical-rule, what is the approximate percentage of women with platelet counts (a) Within 2 standard deviation of the mean, or between 124.3 and 385.9 [1] (b) Between 189.7 and 320.5A correlation is computed for a sample of n = 18 pairs of X and Y values. What correlations are statistically significant with ? = .05, two tails? correlations between 0.468 and −0.468 correlations greater than or equal to 0.468 and correlation less than or equal to −0.468 correlations between 0.456 and −0.456 correlations greater than or equal to 0.456 and correlation less than or equal to −0.456he life of Philips voice recorder is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A voice recorder is guaranteed for 3 years. We are interested in the length of time a voice recorder lasts. Find the probability that a voice recorder will break down during the guarantee period. P(0 < χ < ["", ""] ) = ["", ""] (Use zero (0) for the minimum value of x.) Find the probability that a voice recorder will last between 2.8 and 6 years. P( ["", "", ""] < χ < ["", "", ""] ) = ["", "", ""] Find the 70th percentile of the distribution for the time a voice recorder lasts. P(χ < ƙ)= ["", ""] . Therefore, ƙ= ["", ""]
- about ____% of the area under the curve of the standard distribution is between z= -3.141 and z= 3.141 (or within 3.141 standard deviation of the mean)The distribution of population of grade point averages at a college has 2.71 and standard deviation 0.4. A SRS of 100 of students is selected from the college. The distribution of the sample mean \overline{x}x of the grade point averages is: a. approximately Normal, mean 2.71, standard deviation 0.04. b. approximately Normal, mean 100, standard deviation 0.4 c. approximately Normal, mean 2.71, standard deviation 0.4. d. It is not possible to tell because the sample size is too small.A sample of 2000 observations has a mean of 74 and a standard deviation of 12. Using Chebyshev’s theorem, find the minimum percentage of the observations that fall in the intervals x +/- 2s, x +/- 2.5s and x +/- 3s Note that x +/- 2s represents the interval x - 2s to x + 2s, and so on Also note that s is symbol for standard deviation in this example
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