Chapter 12, number 1a in our fast track book asks us to find a 97% confidence interval for the true population slope. To do so, we must understand both our formula for confidence intervals and the computer printout.
Formula
b - t (E) < B < b + t(E)
where b is our given slope value from the printout. (Coefficient for Registrations) = 9.2472
E is our standard error of the coefficient for the slope. (SE coef for Registrations) = .2145
and "t" is our t-score.
Since B is the parameter we are trying to estimate, it would not make sense to use it in our formula to find "t". Therefore "t" is taken straight from our student's t-distribution chart. The degrees of freedom is seven and we look across for 97%. However, we see there is only a value given for 95% and 98% in our Actual textbook. The value at 95% IS 2.365 and the value at 98% is 2.998. Therefore 97% falls somewhere in between. A good estimate of this can be made around 2.75 however, the Fast Track book reveals its exact answer to be 2.715.
So, since
b - t (E) < B < b + t(E)
9.2472 - 2.715 (.2145) < B < 9.2472 + 2.715 (.2145)
Since we likely would use an estimate of "t" and not the exact value in this case, 2.7 or 2.75 would have sufficed. However, I believe it likely that on the AP exam, they will give a value that is easily obtained from the chart or easily estimated.
Any more questions on this can be answered tomorrow.
Tuesday, May 10, 2016
Sunday, May 8, 2016
Week of May 9th
Geometry: Continue with circles. This will include a possible retest from last week so study up!
Algebra 1: Students will continue to factor polynomials.
Stats: Students will conduct their hypothesis test on a speed trap for the proportion of people who speed through the school zone.
AP Stats: Review for AP test! Test is on Thursday!
Algebra 1: Students will continue to factor polynomials.
Stats: Students will conduct their hypothesis test on a speed trap for the proportion of people who speed through the school zone.
AP Stats: Review for AP test! Test is on Thursday!
Sunday, April 17, 2016
Week of 4/17
Geometry: Students will continue to explore circles, central angles, arcs and inscribed angles. Then they will move into secants and tangent lines to a circle. Students will complete lessons 10-3 through 10-5 this week.
Algebra 1: Students will begin operations involving polynomials. These will include adding, subtracting and multiplying. Students will complete lessons 8-1 and 8-2 for homework.
AP Stats: Students will take their chapter 8 test on Tuesday. Then we will move into regression analysis for the remainder of the week.
Stats: Students have begun hypothesis testing for means and will complete lessons 8-3 and 8-4 for homework.
Algebra 1: Students will begin operations involving polynomials. These will include adding, subtracting and multiplying. Students will complete lessons 8-1 and 8-2 for homework.
AP Stats: Students will take their chapter 8 test on Tuesday. Then we will move into regression analysis for the remainder of the week.
Stats: Students have begun hypothesis testing for means and will complete lessons 8-3 and 8-4 for homework.
Monday, April 4, 2016
Week of 4/4
Geometry: Students will be finishing chapter 8 with a test on Wednesday. Then they will begin learning about circles and their properties.
Stats: Chapter 7 test is on Wednesday! Chapter eight will bring in hypothesis testing. Students will finish 8-2 for homework this week.
AP STATS: Students will finish hypothesis testing this week and they will complete lessons 8-3 through 8-5 for homework. Their fast track will also be due next Wednesday and their test will be on Wednesday as well.
Algebra 1: We are currently working on Scientific Notation. Worksheets 8-4 will be done this week. Also, please begin to encourage your students to prepare for the Keystone Exams and stress the value of performing well under the pressure of a state test.
Stats: Chapter 7 test is on Wednesday! Chapter eight will bring in hypothesis testing. Students will finish 8-2 for homework this week.
AP STATS: Students will finish hypothesis testing this week and they will complete lessons 8-3 through 8-5 for homework. Their fast track will also be due next Wednesday and their test will be on Wednesday as well.
Algebra 1: We are currently working on Scientific Notation. Worksheets 8-4 will be done this week. Also, please begin to encourage your students to prepare for the Keystone Exams and stress the value of performing well under the pressure of a state test.
Sunday, March 13, 2016
Week of 3/14
Stats: Retest on Chapter 6 this Monday. Then we will move into chapter 7 confidence intervals.
AP stats: We will finish Chapter 7 this week on confidence intervals and then test on Thursday. We will also hold our second round of AP practice tests this Friday.
Algebra 1: Students will finish solving systems of linear inequalities this week and conclude the week with a chapter test.
Geometry: Students will review for chapter 7 test on Tuesday. Then we will begin working on Pythagorean theorem and right triangles.
AP stats: We will finish Chapter 7 this week on confidence intervals and then test on Thursday. We will also hold our second round of AP practice tests this Friday.
Algebra 1: Students will finish solving systems of linear inequalities this week and conclude the week with a chapter test.
Geometry: Students will review for chapter 7 test on Tuesday. Then we will begin working on Pythagorean theorem and right triangles.
Sunday, February 21, 2016
Week of February 22nd
AP stats: Students will review lesson 6-6 on Monday and test for chapter 6 on Tuesday. Then we will move into confidence intervals.
Stats: Students will continue learning about the normal distribution and complete the first two lessons of chapter 6.
Basic Algebra: Students will continue with solving systems of equations through elimination and substitution. They will complete lessons 2-4 of chapter 6.
Geometry: Students will begin working on ratios and proportions within similar triangles. They will complete lessons 7-1 through 7-3 this week.
Stats: Students will continue learning about the normal distribution and complete the first two lessons of chapter 6.
Basic Algebra: Students will continue with solving systems of equations through elimination and substitution. They will complete lessons 2-4 of chapter 6.
Geometry: Students will begin working on ratios and proportions within similar triangles. They will complete lessons 7-1 through 7-3 this week.
Tuesday, February 16, 2016
Week of February 15th
Stats: Students will begin the week by reviewing the binomial distribution. A retest on this material shall be given Thursday in class. Students will then start chapter six on the normal distribution for Friday.
AP Stats: Students will finish the normal distribution and Central Limit Theorem this week and test will be on Friday. Lesson 6-5 homework and fast track homework will also be due by Friday.
Geometry: Students will review chapter six on quadrilaterals and take their test on Friday.
Algebra 1: Students will begin to solve systems of equations by graphing the system and identifying its solution. They will also be able to classify the system of equations by the number of solutions it has.
AP Stats: Students will finish the normal distribution and Central Limit Theorem this week and test will be on Friday. Lesson 6-5 homework and fast track homework will also be due by Friday.
Geometry: Students will review chapter six on quadrilaterals and take their test on Friday.
Algebra 1: Students will begin to solve systems of equations by graphing the system and identifying its solution. They will also be able to classify the system of equations by the number of solutions it has.
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