# shape of the population?16, what is the standard deviation(d) If the sample size is n =of the population from which the sample was drawn?14. Answer the followingquestions for the samplingdistribution of the sample meanshown to the right.(((a) What is the value of u?(b) What is the value of o?(c) If the sample size is n 9,what is likely true about theshape of the population?(d) If the sample size is n = 9, what is the standard deviation ofthe population from which the sample was drawn?15. A simple random sample of size n =population with u=(a) Describe the sampling distribution of r.(b) What is P(F> 83)?(c) What is P(F 75.8)?(d) What is P(78.3 < < 85.1)?16. A simple random sample of size n 36 is obtained from apopulation with u = 64 and o = 18.(a) Describe the sampling distribution of F.(b) What is P(I < 62.6)?(c) What is P(F2 68.7)?(d) What is P(59.8 < < 65.9)?11.95 12 12.0549 is obtained from a14.80 and oPrinted by adrian Carter(ap199853@gmail.com) on 8/6/2019 authesubscription date represents copyright violation.

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Number 15 A B C D help_outlineImage Transcriptioncloseshape of the population? 16, what is the standard deviation (d) If the sample size is n = of the population from which the sample was drawn? 14. Answer the following questions for the sampling distribution of the sample mean shown to the right. ( ( (a) What is the value of u? (b) What is the value of o? (c) If the sample size is n 9, what is likely true about the shape of the population? (d) If the sample size is n = 9, what is the standard deviation of the population from which the sample was drawn? 15. A simple random sample of size n = population with u= (a) Describe the sampling distribution of r. (b) What is P(F> 83)? (c) What is P(F 75.8)? (d) What is P(78.3 < < 85.1)? 16. A simple random sample of size n 36 is obtained from a population with u = 64 and o = 18. (a) Describe the sampling distribution of F. (b) What is P(I < 62.6)? (c) What is P(F2 68.7)? (d) What is P(59.8 < < 65.9)? 11.95 12 12.05 49 is obtained from a 14. 80 and o Printed by adrian Carter(ap199853@gmail.com) on 8/6/2019 authe subscription date represents copyright violation. fullscreen
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Step 1

Note:

Thank you for the question. However, your question has more than 3 parts. We are solving first three parts.

Step 2

Denote X as the observation. It is given that mean μ = 80 and standard deviation σ = 14.

Part a:

If a random sample of size n is taken from a population having mean µ and standard deviation σ then, as the sample size increases (n ≥ 30), the sample mean X-bar approaches the normal distribution with mean µ and standard deviation σ/sqrt (n).

The sampling distribution of x-bar has the mean value of 80 with the standard deviation of 14/sqrt (49). That is, X follows normal distribution with mean value of 80 and standard deviation of 2.

Step 3

Part b:

P(x-bar > 83):

The probability of x-bar greater than 83 is,

P(x-bar > 83) = 1- P(x-bar < 83)

Note: P(x-bar < 83) = 0. 933 [ EXCEL f...

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