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Mathematics & Economics

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# Mathematical Questions: Confidence Interval Practice (Math Problem Sample)

Instructions:

Four mathematical questions

source..Content:

Name

Tutor

Course

Date

Confidence Interval Practice

Scenario: In 2011, the John Jay Math department created a new curriculum for STAT 250. Instead of having to do mandatory assignments, students would have discretion as to the how many HW assignments they would do. The professor would upload 15 assignments and students completed only 8 assignments. At the end of the year, the Math department wanted to see how students that took STAT 250 in 2011 performed. They collected a random sample of 95 students and order to estimate their average final grade.

Section 1: Download the data set that is at the top of Topic 5, and calculate the following for the 95 students who are the sample for this study.

MEAN for sample ___= âˆ‘x /n = 6950/95 = 73.16_____

Standard Deviation for sample _________12.58______

(Estimated) Standard Error of the Mean _____1.29__________

Sample Size (n)__95________

Section 2: The sample mean is the POINT ESTIMATE of the population mean (the average for all students if they all were taught with this method). But, the INTERVAL ESTIMATE (also called the Confidence Interval) will be more accurate. Calculate a 95% confidence interval

Sample Mean _______73.16______

Confidence Interval (CI)___X__<73.16<_X_____

Alpha _______0.05______

Critical T Value ____1.96_________

Standard Error for the sample__1.29___________

Calculate the Upper Bound:M + (t coefficient * SE)

Upper bound = 73.16 + (1.96*1.29) = 75.69

Calculate the Lower Bound:M â€“ (t coefficient * SE)

Lower bound = 73.16 - (1.96*1.29) = 70.63

...

Tutor

Course

Date

Confidence Interval Practice

Scenario: In 2011, the John Jay Math department created a new curriculum for STAT 250. Instead of having to do mandatory assignments, students would have discretion as to the how many HW assignments they would do. The professor would upload 15 assignments and students completed only 8 assignments. At the end of the year, the Math department wanted to see how students that took STAT 250 in 2011 performed. They collected a random sample of 95 students and order to estimate their average final grade.

Section 1: Download the data set that is at the top of Topic 5, and calculate the following for the 95 students who are the sample for this study.

MEAN for sample ___= âˆ‘x /n = 6950/95 = 73.16_____

Standard Deviation for sample _________12.58______

(Estimated) Standard Error of the Mean _____1.29__________

Sample Size (n)__95________

Section 2: The sample mean is the POINT ESTIMATE of the population mean (the average for all students if they all were taught with this method). But, the INTERVAL ESTIMATE (also called the Confidence Interval) will be more accurate. Calculate a 95% confidence interval

Sample Mean _______73.16______

Confidence Interval (CI)___X__<73.16<_X_____

Alpha _______0.05______

Critical T Value ____1.96_________

Standard Error for the sample__1.29___________

Calculate the Upper Bound:M + (t coefficient * SE)

Upper bound = 73.16 + (1.96*1.29) = 75.69

Calculate the Lower Bound:M â€“ (t coefficient * SE)

Lower bound = 73.16 - (1.96*1.29) = 70.63

...

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