1W Homework Week 5 (ADAPUS CLE:MATH120 D006XA https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=D226299308&tags=autosave->Suppose x has a distribution with a mean of 20 and a standard deviation of 9. Random samples of size n = 36 are drawn.(a) Describe the x distribution.O x has a binomial distribution.Ox has an unknown distribution.Ox has a Poisson distribution.Ox has a normal distribution.Ox has a geometric distribution.x has an approximately normal distribution.Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)收= 20O=1.5(b) Find the z value corresponding to x = 17. (Enter an exact number)z=-33(c) Find P(x < 17). (Enter a number. Round your answer to four decimal places.)P(x

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Asked Dec 28, 2019
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I'm having trouble finding probabilities and z values.

1
W Homework Week 5 (AD
APUS CLE:MATH120 D006
X
A https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=D226299308&tags=autosave
->
Suppose x has a distribution with a mean of 20 and a standard deviation of 9. Random samples of size n = 36 are drawn.
(a) Describe the x distribution.
O x has a binomial distribution.
Ox has an unknown distribution.
Ox has a Poisson distribution.
Ox has a normal distribution.
Ox has a geometric distribution.
x has an approximately normal distribution.
Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)
收= 20
O=1.5
(b) Find the z value corresponding to x = 17. (Enter an exact number)
z=-33
(c) Find P(x < 17). (Enter a number. Round your answer to four decimal places.)
P(x <17)
= -3707
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 17? Explain.
O Yes, it would be unusual because more than 5% of all such samples have means less than 17.
O Yes, it would be unusual because less than 5% of all such samples have means less than 17.
O No, it would not be unusual because less than 5% of all such samples have means less than 17.
O No, it would not be unusual because more than 5% of all such samples have means less than 17.
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1 W Homework Week 5 (AD APUS CLE:MATH120 D006 X A https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=D226299308&tags=autosave -> Suppose x has a distribution with a mean of 20 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a binomial distribution. Ox has an unknown distribution. Ox has a Poisson distribution. Ox has a normal distribution. Ox has a geometric distribution. x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) 收= 20 O=1.5 (b) Find the z value corresponding to x = 17. (Enter an exact number) z=-33 (c) Find P(x < 17). (Enter a number. Round your answer to four decimal places.) P(x <17) = -3707 (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 17? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 17. O Yes, it would be unusual because less than 5% of all such samples have means less than 17. O No, it would not be unusual because less than 5% of all such samples have means less than 17. O No, it would not be unusual because more than 5% of all such samples have means less than 17. Need Help? Talk to a Tulor Read Ii vewing Saved Work Ravert o Last Response

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Expert Answer

Step 1

Given info:

The mean and standard deviation of the distribution are, µ=20 and σ=26 respectively.

Step 2

(b) Computation of z value corresponding to =17:

The z value corresponding to =17 is obtained as −2, from the calculations given below:

Statistics homework question answer, step 2, image 1
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Step 3

(c) Computation of P(<17):

The value of P(<17) is obtained as 0.0228 (rounded to four decimal places),...

Statistics homework question answer, step 3, image 1
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