Suppose x has a distribution with a mean of 80 and a standard deviation of 44. Random samples of size n = 64 are drawn. (a) Describe the x distribution. O x has a Poisson distribution. O x has a geometric distribution. O x has an unknown distribution. O x has a binomial distribution. O x has an approximately normal distribution. O x has a normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hx = (b) Find the z value corresponding to x = 91. (Enter an exact number.) z = (c) Find P(x < 91). (Enter a number. Round your answer to four decimal places.) P(X < 91) = | (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 91? Explain O No, it would not be unusual because less than 5% of all such samples have means less than 91. Yes, it would be unusual because less than 5% of all such samples have means less than 91. Yes, it would be unusual because more than 5% of all such samples have means less than 91. O No, it would not be unusual because more than 5% of all such samples have means less than 91.

MATLAB: An Introduction with Applications
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Suppose x has a distribution with a mean of 80 and a standard deviation of 44. Random samples of size n = 64 are drawn.
(a) Describe the x distribution.
O x has a Poisson distribution.
O x has a geometric distribution.
O x has an unknown distribution.
O x has a binomial distribution.
O x has an approximately normal distribution.
O x has a normal distribution.
Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)
Hx =
(b) Find the z value corresponding to x = 91. (Enter an exact number.)
z =
(c) Find P(x < 91). (Enter a number. Round your answer to four decimal places.)
P(X < 91) = |
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 91? Explain
O No, it would not be unusual because less than 5% of all such samples have means less than 91.
Yes, it would be unusual because less than 5% of all such samples have means less than 91.
Yes, it would be unusual because more than 5% of all such samples have means less than 91.
O No, it would not be unusual because more than 5% of all such samples have means less than 91.
Transcribed Image Text:Suppose x has a distribution with a mean of 80 and a standard deviation of 44. Random samples of size n = 64 are drawn. (a) Describe the x distribution. O x has a Poisson distribution. O x has a geometric distribution. O x has an unknown distribution. O x has a binomial distribution. O x has an approximately normal distribution. O x has a normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hx = (b) Find the z value corresponding to x = 91. (Enter an exact number.) z = (c) Find P(x < 91). (Enter a number. Round your answer to four decimal places.) P(X < 91) = | (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 91? Explain O No, it would not be unusual because less than 5% of all such samples have means less than 91. Yes, it would be unusual because less than 5% of all such samples have means less than 91. Yes, it would be unusual because more than 5% of all such samples have means less than 91. O No, it would not be unusual because more than 5% of all such samples have means less than 91.
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