Suppose x has a distribution with a mean of 80 and a standard deviation of 51. Random samples of sizen = 36 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has an approximately normalv distribution with mean u = 80 v and standard deviation o, = 8.5 (b) Find the z value corresponding to x = 63. z = 2 (c) Find P(x < 63). (Round your answer to four decimal places.) P(x < 63) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 63? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 63. O No, it would not be unusual because less than 5% of all such samples have means less than 63. ..... O: No, it would not be unusual because more than 5% of all such samples have means less than 63. ..... O Yes, it would be unusual because less than 5% of all such samples have means less than 63. Need Help? Read It Master It

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I just need help with (b) (c) and (d)
Suppose x has a distribution with a mean of 80 and a standard deviation of 51. Random samples of size n = 36 are drawn.
(a) Describe the x distribution and compute the mean and standard deviation of the distribution.
x has an approximately normalv
distribution with mean u- = 80
and standard deviation o = 8.5
(b) Find the z value corresponding to x = 63.
z = 2
(c) Find P(x < 63). (Round your answer to four decimal places.)
P(x < 63) =
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 63? Explain.
O Yes, it would be unusual because more than 5%
all such samples have means less than 63.
O No, it would not be unusual because less than 5% of all such samples have means less than 63.
O: No, it would not be unusual because more than 5% of all such samples have means less than 63.
.......
O Yes, it would be unusual because less than 5% of all such samples have means less than 63.
Need Help?
Read It
Master It
US
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hp
女
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%24
Transcribed Image Text:Suppose x has a distribution with a mean of 80 and a standard deviation of 51. Random samples of size n = 36 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has an approximately normalv distribution with mean u- = 80 and standard deviation o = 8.5 (b) Find the z value corresponding to x = 63. z = 2 (c) Find P(x < 63). (Round your answer to four decimal places.) P(x < 63) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 63? Explain. O Yes, it would be unusual because more than 5% all such samples have means less than 63. O No, it would not be unusual because less than 5% of all such samples have means less than 63. O: No, it would not be unusual because more than 5% of all such samples have means less than 63. ....... O Yes, it would be unusual because less than 5% of all such samples have means less than 63. Need Help? Read It Master It US 全自1 hp 女 & % 6. 7 08. 3 4. %24
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