Suppose x has a distribution with a mean of 80 and a standard deviation of 4. Random samp (a) Describe the x distribution. O has a Poisson distribution. O has an approximately normal distribution. O has a normal distribution. O has an unknown distribution. O has a binomial distribution. O has a geometric distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Px- Oy (b) Find the z value corresponding to x-81. (Enter an exact number.) 2 M (c) Find P(x < 81). (Enter a number. Round your answer to four decimal places.) P(x < 81) -

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Suppose x has a distribution with a mean of 80 and a standard deviation of 4. Random samples of size n= 64 are drawn.
(a) Describe the x distribution.
O x has a Poisson distribution.
Ox has an approximately normal distribution.
O has a normal distribution.
Ox has an unknown distribution.
Ox has a binomial distribution.
O has a geometric distribution.
Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)
PR
Oy
(b) Find the z value corresponding to x = 81. (Enter an exact number.)
ZW
(c) Find P(x < 81). (Enter a number. Round your answer to four decimal places.)
P(x<81) -
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 81? Explain.
O Yes, it would be unusual because more than 5% of all such samples have means less than 81.
O No, it would not be unusual because less than 5% of all such samples have means less than 81.
O Ye
it would be unusual because less than 5% of all such samples have means less than 81.
O No, it would not be unusual because more than 5% of all such samples have means less than 81.
Transcribed Image Text:Suppose x has a distribution with a mean of 80 and a standard deviation of 4. Random samples of size n= 64 are drawn. (a) Describe the x distribution. O x has a Poisson distribution. Ox has an approximately normal distribution. O has a normal distribution. Ox has an unknown distribution. Ox has a binomial distribution. O has a geometric distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) PR Oy (b) Find the z value corresponding to x = 81. (Enter an exact number.) ZW (c) Find P(x < 81). (Enter a number. Round your answer to four decimal places.) P(x<81) - (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 81? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 81. O No, it would not be unusual because less than 5% of all such samples have means less than 81. O Ye it would be unusual because less than 5% of all such samples have means less than 81. O No, it would not be unusual because more than 5% of all such samples have means less than 81.
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