Software analysis of the salaries of a random sample of 288 Nevada teachers produced the confidence interval shown below. Determine if the following conclusions are correct. If​ not, state what is wrong with the conclusion. Complete parts a through e below.   ​t-interval for μ​: with 90​% ​confidence, 43454<μ​(TchPay)<45398 Part 1 ​a) If many random samples of 288teachers from Nevada were​ taken, about 9 out of 10 of them would produce this confidence interval. Choose the correct answer below.     A. This conclusion is​ correct, assuming all assumptions and conditions are met.   B. This conclusion is incorrect. About 9 out of 10 intervals will contain the true mean​ salary, but different samples of 288 teachers will produce different confidence intervals.   C. This conclusion is incorrect. About 9 out of 10 intervals based on samples of any size would produce this confidence interval.   D. This conclusion is incorrect. About 9out of 10 intervals will produce a confidence interval that overlaps with this interval. Part 2 ​b) If many random samples of teachers from Nevada were​ taken, about 9 out of 10 of them would produce a confidence interval that contained the mean salary of all teachers from Nevada.   A. This conclusion is incorrect. About 9out of 10 teachers surveyed will earn a salary within the interval.   B. This conclusion is incorrect. All 10of the intervals will contain the true mean​ salary, but different samples of 288 teachers will produce different confidence intervals.   C. This conclusion is incorrect. About 9out of 10 intervals will produce a confidence interval that overlaps with this interval.   D. This conclusion is​ correct, assuming all assumptions and conditions are met. Part 3 ​c) About 9 out of 10 teachers from Nevada earn between ​$43,454 and ​$45,398     A. This conclusion is incorrect. The interval is for the population mean​ salary, not the salary for individual teachers.   B. This conclusion is incorrect. The interval means that a newly hired teacher in Nevada has a 90​%chance of earning betwee  $43,454 and $45,398.   C. This conclusion is​ correct, assuming all assumptions and conditions are met.   D. This conclusion is incorrect. The interval is for the sample mean​ salary, not the salary for individual teachers. Part 4 ​d) About 9 out of 10 of the teachers surveyed earn between ​$43,454 and ​$45,398. Choose the correct answer below.     A. This conclusion is incorrect. The interval is for the population mean​ salary, not the salary for individual teachers.   B. This conclusion is​ correct, assuming all assumptions and conditions are met.   C. This conclusion is incorrect. The interval means that a newly hired teacher in Nevada has a 90​% chance to earn between ​$43,454 and ​$45,398.   D. This conclusion is incorrect. The interval is for the sample mean​ salary, not the salary for individual teachers. Part 5 ​e) We are 90​% confident that the average teacher salary in the entire country is between ​$43,454 and ​$45,398. Choose the correct answer below.     A. This conclusion is incorrect. A larger sample from the state is needed in order to construct a confidence interval estimate for the salaries of teachers across the entire country.   B. This conclusion is​ correct, assuming all assumptions and conditions are met.   C. This conclusion is incorrect. The confidence interval addresses only the salaries of teachers in Nevada.   D. This conclusion is incorrect. The confidence interval addresses only the salaries of teachers surveyed in the sample of 288

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Software analysis of the salaries of a random sample of
288
Nevada teachers produced the confidence interval shown below. Determine if the following conclusions are correct. If​ not, state what is wrong with the conclusion. Complete parts a through e below.
 
​t-interval for
μ​: with 90​% ​confidence,
43454<μ​(TchPay)<45398
Part 1
​a) If many random samples of 288teachers from Nevada were​ taken, about 9 out of 10 of them would produce this confidence interval. Choose the correct answer below.
 
 
A.
This conclusion is​ correct, assuming all assumptions and conditions are met.
 
B.
This conclusion is incorrect. About 9 out of 10 intervals will contain the true mean​ salary, but different samples of
288 teachers will produce different confidence intervals.
 
C.
This conclusion is incorrect. About 9 out of 10 intervals based on samples of any size would produce this confidence interval.
 
D.
This conclusion is incorrect. About 9out of 10 intervals will produce a confidence interval that overlaps with this interval.
Part 2
​b) If many random samples of teachers from Nevada were​ taken, about 9 out of 10
of them would produce a confidence interval that contained the mean salary of all teachers from Nevada.
 
A.
This conclusion is incorrect. About 9out of 10 teachers surveyed will earn a salary within the interval.
 
B.
This conclusion is incorrect. All 10of the intervals will contain the true mean​ salary, but different samples of 288
teachers will produce different confidence intervals.
 
C.
This conclusion is incorrect. About 9out of 10 intervals will produce a confidence interval that overlaps with this interval.
 
D.
This conclusion is​ correct, assuming all assumptions and conditions are met.
Part 3
​c) About 9 out of 10 teachers from Nevada earn between ​$43,454 and ​$45,398
 
 
A.
This conclusion is incorrect. The interval is for the population mean​ salary, not the salary for individual teachers.
 
B.
This conclusion is incorrect. The interval means that a newly hired teacher in Nevada has a 90​%chance of earning betwee  $43,454 and $45,398.
 
C.
This conclusion is​ correct, assuming all assumptions and conditions are met.
 
D.
This conclusion is incorrect. The interval is for the sample mean​ salary, not the salary for individual teachers.
Part 4
​d) About 9 out of 10 of the teachers surveyed earn between ​$43,454 and ​$45,398.
Choose the correct answer below.
 
 
A.
This conclusion is incorrect. The interval is for the population mean​ salary, not the salary for individual teachers.
 
B.
This conclusion is​ correct, assuming all assumptions and conditions are met.
 
C.
This conclusion is incorrect. The interval means that a newly hired teacher in Nevada has a
90​% chance to earn between ​$43,454 and ​$45,398.
 
D.
This conclusion is incorrect. The interval is for the sample mean​ salary, not the salary for individual teachers.
Part 5
​e) We are 90​% confident that the average teacher salary in the entire country is between ​$43,454 and ​$45,398.
Choose the correct answer below.
 
 
A.
This conclusion is incorrect. A larger sample from the state is needed in order to construct a confidence interval estimate for the salaries of teachers across the entire country.
 
B.
This conclusion is​ correct, assuming all assumptions and conditions are met.
 
C.
This conclusion is incorrect. The confidence interval addresses only the salaries of teachers in Nevada.
 
D.
This conclusion is incorrect. The confidence interval addresses only the salaries of teachers surveyed in the sample of
288.
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