Suppose x has a distribution with a mean of 60 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a geometric distribution. x has an unknown distribution. O x has a Poisson distribution. Ox has a normal distribution. x has a binomial distribution. O x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hg = 0x = (b) Find the z value corresponding to x = 57. (Enter an exact number.) z = (c) Find P(x < 57). (Enter a number. Round your answer to four decimal places.) P(x < 57) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 57? Explain. O No, it would not be unusual because less than 5% of all such samples have means less than 57. Yes, it would be unusual because more than 5% of all such samples have means less than 57. Yes, it would be unusual because less than 5% of all such samples have means less than 57. No, it would not be unusual because more than 5% of all such samples have means less than 57.

MATLAB: An Introduction with Applications
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Suppose x has a distribution with a mean of 60 and a standard deviation of 9. Random samples of size n = 36 are drawn.
(a) Describe the x distribution.
O x has a geometric distribution.
O
has an unknown distribution.
O
has a Poisson distribution.
Ox has a normal distribution.
Ox has a binomial distribution.
O x has an approximately normal distribution.
Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)
Hx =
0x =
(b) Find the z value corresponding to x = 57. (Enter an exact number.)
z =
(c) Find P(x < 57). (Enter a number. Round your answer to four decimal places.)
P(x < 57) =
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 57? Explain.
O No, it would not be unusual because less than 5% of all such samples have means less than 57.
O Yes, it would be unusual because more than 5% of all such samples have means less than 57.
O Yes, it would be unusual because less than 5% of all such samples have means less than 57.
O No, it would not be unusual because more than 5% of all such samples have means less than 57.
Transcribed Image Text:Suppose x has a distribution with a mean of 60 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a geometric distribution. O has an unknown distribution. O has a Poisson distribution. Ox has a normal distribution. Ox has a binomial distribution. O x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hx = 0x = (b) Find the z value corresponding to x = 57. (Enter an exact number.) z = (c) Find P(x < 57). (Enter a number. Round your answer to four decimal places.) P(x < 57) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 57? Explain. O No, it would not be unusual because less than 5% of all such samples have means less than 57. O Yes, it would be unusual because more than 5% of all such samples have means less than 57. O Yes, it would be unusual because less than 5% of all such samples have means less than 57. O No, it would not be unusual because more than 5% of all such samples have means less than 57.
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