Suppose x has a distribution with a mean of 20 and a standard deviation of 4. Random samples of size n = 64 are drawn. A USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has Select--- v distribution with mean u = and standard deviation o, = (b) Find the z value corresponding to x = 19.5. (c) Find P(x < 19.5). (Round your answer to four decimal places.) P(x < 19.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 19.5? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 19.5. O No, it would not be unusual because more than 5% of all such samples hare means less than 19.5. O Yes, it would be unusual because more than 5% of all such samples have means less than 19.5. O No, it would not be unusual because less than 5% of all such samples have means less than 19.5.

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Suppose x has a distribution with a mean of 20 and a standard deviation of 4. Random samples of size n = 64 are drawn.
LUSE SALT
(a) Describe the x distribution and compute the mean and standard deviation of the distribution.
x has
-Select---
v distribution with mean µ,
and standard deviationo- =
(b) Find the z value corresponding to x = 19.5.
(c) Find P(x < 19.5). (Round your answer to four decimal places.)
P(x < 19.5) =
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 19.5? Explain.
O Yes, it would be unusual because less than 5% of all such samples have means less than 19.5.
O No, it would not be unusual because more than 5% of all such samples hare means less than 19.5.
O Yes, it would be unusual because more than 5% of all such samples have means less than 19.5.
O No, it would not be unusual because less than 5% of all such samples have means less than 19.5.
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Transcribed Image Text:Suppose x has a distribution with a mean of 20 and a standard deviation of 4. Random samples of size n = 64 are drawn. LUSE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select--- v distribution with mean µ, and standard deviationo- = (b) Find the z value corresponding to x = 19.5. (c) Find P(x < 19.5). (Round your answer to four decimal places.) P(x < 19.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 19.5? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 19.5. O No, it would not be unusual because more than 5% of all such samples hare means less than 19.5. O Yes, it would be unusual because more than 5% of all such samples have means less than 19.5. O No, it would not be unusual because less than 5% of all such samples have means less than 19.5. Need Help? Read It Master It
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the
random variable x will have a distribution that is approximately normal with mean u
81 and standard deviation o = 25. Note: After 50 years of age, both the mean and standard deviation tend to increas
For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
A USE SALT
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
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Transcribed Image Text:A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean u 81 and standard deviation o = 25. Note: After 50 years of age, both the mean and standard deviation tend to increas For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) A USE SALT (a) x is more than 60 (b) x is less than 110 (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125) Need Help? Read It Watch It
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