a) Create a 95% confidence interval for the mean difference in cost. Be sure to justify the chosen procedure. The proper procedure is finding because the entire data set is composed of Are all the appropriate conditions and assumptions satisfied? Select all that apply. O A. Yes, all the conditions are definitely satisfied. OC. No, the Nearly Normal Condition is definitely not satisfied. O B. No, the Independent Groups Assumption is definitely not satisfied. OD. No, it is impossible to determine if the Nearly Normal Condition satisfied. O E. No, the Paired Data Condition is not satisfied. OF. No, the sample size in not large enough to ensure that the CLT applies. O G. No, the Independence Assumption is definitely not satisfied. O1. No, it is impossible to determine if the Independent Groups Assumption is satisfied. O H. No, it is impossible to determine if the Independence Assumption is satisfied. OJ. No, it is impossible to determine if the Paired Data Condition is satisfied. Let each difference be equal to the nonresident tuition minus the resident tuition. The 95% confidence interval for the mean difference in cost is (ss (Round to the nearest dollar as needed.) b) Interpret the part a) interval in context. Choose the correct answer below. O A. With 95% confidence, the nonresidents pay, on average, more than residents by a value between the lower and upper bounds of the confidence interval. O B. The confidence interval contains the true value that nonresidents pay more than residents, on average, 95% of the time. O C. For all samples, 95% of them will have a mean difference that falls within the confidence interval. O D. Any difference will fall within this interval 95% of the time. c) A national magazine claims that public institutions charge state residents an average of $4400 less for tuition each semester. What does the part a) confidence interval indicate about this assertion?
a) Create a 95% confidence interval for the mean difference in cost. Be sure to justify the chosen procedure. The proper procedure is finding because the entire data set is composed of Are all the appropriate conditions and assumptions satisfied? Select all that apply. O A. Yes, all the conditions are definitely satisfied. OC. No, the Nearly Normal Condition is definitely not satisfied. O B. No, the Independent Groups Assumption is definitely not satisfied. OD. No, it is impossible to determine if the Nearly Normal Condition satisfied. O E. No, the Paired Data Condition is not satisfied. OF. No, the sample size in not large enough to ensure that the CLT applies. O G. No, the Independence Assumption is definitely not satisfied. O1. No, it is impossible to determine if the Independent Groups Assumption is satisfied. O H. No, it is impossible to determine if the Independence Assumption is satisfied. OJ. No, it is impossible to determine if the Paired Data Condition is satisfied. Let each difference be equal to the nonresident tuition minus the resident tuition. The 95% confidence interval for the mean difference in cost is (ss (Round to the nearest dollar as needed.) b) Interpret the part a) interval in context. Choose the correct answer below. O A. With 95% confidence, the nonresidents pay, on average, more than residents by a value between the lower and upper bounds of the confidence interval. O B. The confidence interval contains the true value that nonresidents pay more than residents, on average, 95% of the time. O C. For all samples, 95% of them will have a mean difference that falls within the confidence interval. O D. Any difference will fall within this interval 95% of the time. c) A national magazine claims that public institutions charge state residents an average of $4400 less for tuition each semester. What does the part a) confidence interval indicate about this assertion?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:How much more do public colleges and universities charge out-of-state students for tuition per semester? A random sample of 12 public colleges and universities yielded the data in the accompanying table. Complete parts a) through c) below.
E Click the icon to view the table of tuition figures.
a) Create a 95% confidence interval for the mean difference in cost. Be sure to justify the chosen procedure.
The proper procedure is finding
because the entire data set is composed of
Are all the appropriate conditions and assumptions satisfied? Select all that apply.
O B. No, the Independent Groups Assumption is definitely not satisfied.
O D. No, it is impossible to determine if the Nearly Normal Condition is satisfied.
O A. Yes, all the conditions are definitely satisfied.
O C. No, the Nearly Normal Condition is definitely not satisfied.
O E. No, the Paired Data Condition is not satisfied.
OF. No, the sample size in not large enough to ensure that the CLT applies.
O H. No, it is impossible to determine if the Independence Assumption is satisfied.
O J. No, it is impossible to determine if the Paired Data Condition is satisfied.
O G. No, the Independence Assumption is definitely not satisfied.
OI. No, it is impossible to determine if the Independent Groups Assumption is satisfied.
Let each difference be equal to the nonresident tuition minus the resident tuition. The 95% confidence interval for the mean difference in cost is (ssD
(Round to the nearest dollar as needed.)
b) Interpret the part a) interval in context. Choose the correct answer below.
O A. With 95% confidence, the nonresidents pay, on average, more than residents by a value between the lower and upper bounds of the confidence interval.
O B. The confidence interval contains the true value that nonresidents pay more than residents, on average, 95% of the time.
O C. For all samples, 95% of them will have a mean difference that falls within the confidence interval.
O D. Any difference will fall within this interval 95% of the time.
c) A national magazine claims that public institutions charge state residents an average of $4400 less for tuition each semester. What does the part a) confidence interval indicate about this assertion?
O A. The assertion
reasonable since $4400 is in the confidence interval.
O B. The assertion is not reasonable since $4400 is not in the confidence interval.
O C. The assertion is not reasonable because $4400 is not close to the mean difference.
O D. The assertion is reasonable because $4400 is approximately equal to the mean difference.
Transcribed Image Text:Tuition figures per semester are rounded to the nearest hundred
Institution
Resident
Nonresident
College 1
College 2
College 3
College 4
College 5
College 6
College 7
College 8
College 9
College 10
College 11
College 12
4200
8700
2000
3500
3400
8600
7100
5800
3200
2500
3400
5900
2800
2300
3300
3300
4700
7200
3100
6000
1600
8400
3100
7600
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