Question

In: Statistics and Probability

Suppose a simple random sample of size nequals49 is obtained from a population with mu equals...

Suppose a simple random sample of size nequals49 is obtained from a population with mu equals 71 and sigma equals 28. ​(a) Describe the sampling distribution of x overbar. ​(b) What is Upper P left parenthesis x overbar greater than 78 right parenthesis​? ​(c) What is Upper P left parenthesis x overbar less than or equals 62.8 right parenthesis​? ​(d) What is Upper P left parenthesis 66.8 less than x overbar less than 77.6 right parenthesis​?

Solutions

Expert Solution


Related Solutions

Suppose a simple random sample of size nequals49 is obtained from a population with mu equals...
Suppose a simple random sample of size nequals49 is obtained from a population with mu equals 71 and sigma equals 7. ​(a) Describe the sampling distribution of x overbar. ​(b) What is Upper P left parenthesis x overbar greater than 72.5 right parenthesis​? ​(c) What is Upper P left parenthesis x overbar less than or equals 68.9 right parenthesis​? ​(d) What is Upper P left parenthesis 69.65 less than x overbar less than 72.65 right parenthesis​?
A simple random sample of size n=64 is obtained from a population with mu equals 76...
A simple random sample of size n=64 is obtained from a population with mu equals 76 and sigma equals 8. ​(a) Describe the sampling distribution of x overbar. ​(b) What is Upper P left parenthesis x overbar greater than 77.9 right parenthesis​? ​(c) What is Upper P left parenthesis x overbar less than or equals 73.55 right parenthesis​? ​(d) What is Upper P left parenthesis 74.85 less than x overbar less than 78.1 right parenthesis​?
A simple random sample of size nequals=8181 is obtained from a population with mu equals 73μ=73...
A simple random sample of size nequals=8181 is obtained from a population with mu equals 73μ=73 and sigma equals 18σ=18. ​(a) Describe the sampling distribution of x overbarx. ​(b) What is Upper P left parenthesis x overbar greater than 75.9 right parenthesisP x>75.9​? ​(c) What is Upper P left parenthesis x overbar less than or equals 68.8 right parenthesisP x≤68.8​? ​(d) What is Upper P left parenthesis 71 less than x overbar less than 77.8 right parenthesisP 71<x<77.8​?
A simple random sample of size nequals=8181 is obtained from a population with mu equals 73μ=73...
A simple random sample of size nequals=8181 is obtained from a population with mu equals 73μ=73 and sigma equals 18σ=18. ​(a) Describe the sampling distribution of x overbarx. ​(b) What is Upper P left parenthesis x overbar greater than 75.9 right parenthesisP x>75.9​? ​(c) What is Upper P left parenthesis x overbar less than or equals 68.8 right parenthesisP x≤68.8​? ​(d) What is Upper P left parenthesis 71 less than x overbar less than 77.8 right parenthesisP 71<x<77.8​?
Suppose a simple random sample of size n=41 is obtained from a population with mu=61 and...
Suppose a simple random sample of size n=41 is obtained from a population with mu=61 and sigma=19. (b) Assuming the normal model can be​ used, determine ​P(x overbarx < 71.4). ​(c) Assuming the normal model can be​ used, determine ​P(x overbarx ≥ 69.1).
Suppose a simple random sample of size n equals=1000 is obtained from a population whose size...
Suppose a simple random sample of size n equals=1000 is obtained from a population whose size is N equals=1,000,000 and whose population proportion with a specified characteristic is p=0.74. ​(b) What is the probability of obtaining x=770 or more individuals with the​ characteristic? ​(c) What is the probability of obtaining x=720 or fewer individuals with the​ characteristic? ​(Round to four decimal places as​ needed.) How to solve these problems in Statcrunch? Thank you!
Suppose a simple random sample of size nequals200 is obtained from a population whose size is...
Suppose a simple random sample of size nequals200 is obtained from a population whose size is Upper N equals 15 comma 000 and whose population proportion with a specified characteristic is p equals 0.6 . ​(a) Describe the sampling distribution of ModifyingAbove p with caret. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis less...
Suppose a simple random sample of size n=75 is obtained from a population whose size is...
Suppose a simple random sample of size n=75 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p= 0.4 . A) Determine the standard deviation of the sampling distribution of p hat (Round to 6 decimals) B) What is the probability of obtaining x=33 or more individuals with the​ characteristic? That​ is, what is ​P(p ≥0.44​)? (Round to 4 decimals)
Suppose a simple random sample of size n=1000 is obtained from a population whose size is...
Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=2,000,000 and whose population proportion with a specified characteristic is p = 0.22 a. What is the probability of obtaining x=250 or more individuals with the​ characteristic?
Suppose a simple random sample of size nequals=7575 is obtained from a population whose size is...
Suppose a simple random sample of size nequals=7575 is obtained from a population whose size is Upper N equals 30 comma 000N=30,000 and whose population proportion with a specified characteristic is p equals 0.4 .p=0.4. Complete parts ​(a) through​ (c) below. ​(a) Describe the sampling distribution of ModifyingAbove p with caretp. Choose the phrase that best describes the shape of the sampling distribution below. A. Not normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT