Suppose the math department chair at a large state university wants to estimate the average overall rating, out of five points, that students taking Introductory Statistics gave their lecturers on their end-of-term evaluations. She selects a random sample of 36 evaluations and records the summary statistics shown. Sample Sample Sample standard Population standard Standard Confidence size mean deviation deviation deviation of x level 36 3.8711 1.0755 1.0222 0.1704 95% The department chair determines the standard deviation of the sampling distribution of x using o, the standard deviation calculated from all student evaluations submitted to her department. Assume the Statistics lecturers' ratings have the same standard deviation. Use this information to find the margin of error and the lower and upper limits of a 95% confidence interval for u, the mean overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth. Margin of error = Lower limit = Upper limit = Complete the following sentence to state the interpretation of the department chair's confidence interval.

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Use this information to find the margin of error and the lower and upper limits of a 95% confidence interval for µ, the mean
overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth.
Margin of error =
Lower limit =
Upper limit =
Complete the following sentence to state the interpretation of the department chair's confidence interval.
The
that the
of the overall ratings given on
at the end of the term
Answer Bank
is between the lower and upper limits
probability is 95%
all student evaluations of Statistics lecturers
the student evaluations in the sample
standard deviation of x
standard deviation
confidence interval
is 3.8711
mean
department chair is 95% confident
Transcribed Image Text:Use this information to find the margin of error and the lower and upper limits of a 95% confidence interval for µ, the mean overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth. Margin of error = Lower limit = Upper limit = Complete the following sentence to state the interpretation of the department chair's confidence interval. The that the of the overall ratings given on at the end of the term Answer Bank is between the lower and upper limits probability is 95% all student evaluations of Statistics lecturers the student evaluations in the sample standard deviation of x standard deviation confidence interval is 3.8711 mean department chair is 95% confident
Suppose the math department chair at a large state university wants to estimate the average overall rating, out of five points,
that students taking Introductory Statistics gave their lecturers on their end-of-term evaluations. She selects a random sample
of 36 evaluations and records the summary statistics shown.
Sample Sample
Sample standard
Population standard
Standard
Confidence
size
mean
deviation
deviation
deviation of x
level
n
36
3.8711
1.0755
1.0222
0.1704
95%
The department chair determines the standard deviation of the sampling distribution of x using o, the standard deviation
calculated from all student evaluations submitted to her department. Assume the Statistics lecturers' ratings have the same
standard deviation.
Use this information to find the margin of error and the lower and upper limits of a 95% confidence interval for u, the mean
overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth.
Margin of error =
Lower limit =
Upper limit =
Complete the following sentence to state the interpretation of the department chair's confidence interval.
Transcribed Image Text:Suppose the math department chair at a large state university wants to estimate the average overall rating, out of five points, that students taking Introductory Statistics gave their lecturers on their end-of-term evaluations. She selects a random sample of 36 evaluations and records the summary statistics shown. Sample Sample Sample standard Population standard Standard Confidence size mean deviation deviation deviation of x level n 36 3.8711 1.0755 1.0222 0.1704 95% The department chair determines the standard deviation of the sampling distribution of x using o, the standard deviation calculated from all student evaluations submitted to her department. Assume the Statistics lecturers' ratings have the same standard deviation. Use this information to find the margin of error and the lower and upper limits of a 95% confidence interval for u, the mean overall rating students gave their Introductory Statistics lecturers. Round your answers to the nearest hundredth. Margin of error = Lower limit = Upper limit = Complete the following sentence to state the interpretation of the department chair's confidence interval.
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