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central limit theory, ( Please show all work)
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The weights of the fish in a certain lake are normally distributed with a mean of 19 pounds and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 pounds.
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Assume that a woman’s height are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, Finder probability that they have a mean height between the 62.9 inches and 64.0 inches.
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For women aged 18 – 24, systolic blood pressure are normally distributed (in mm Hg) are normally distributed with a mean of 14.8 and a standard deviation of 13.1. If 23 women aged 18 through 24 are randomly selected, Finder probability that there means systolic blood pressure is between 119 and 122.
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Find the critical value Z a/2 that corresponds to a 93% confidence level.
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12. find Za/2 for a = 0.09