You can complete this problem using Geogebra or Minitab. For Minitab, please see the tutorials in D2L for finding confidence intervals with Minitab. For Geogebra, see the directions below. The following data can be copy-pasted into Geogebra. Highlight the entire list below and copy (CTRL-C should work here): 66, 68, 63, 68, 61, 72, 72, 64, 69, 61, 65, 64, 61, 67, 68, 69, 64, 64, 65, 63, 61 For Geogebra: Open Geogebra and choose "Speadsheet." You can also get to the Spreadsheet through the "View" menu. Close the Algebra and Graphics displays if they are showing; we won't need them. Now select an empty cell in the Geogebra spreadsheet. Do not select an entire row or column! Paste the copied data (CTRL-V should work). The data w be pasted across a row in the spreadsheet. To check that you pasted correctly, we'll make a Histogram and compute summary statistics for the data set Highlight the entire row where you pasted the data. With this row highlighted, click the blue bar graph at the top of the Geogebra window. This should be the second button from the left. If you see an icon other than the blue bar graph, hover over the triangle in the corner of the icon (it will turn red), click an- select One Variable analysis from the drop-down menu. A new Geogebra window (Data Source) will pop-up. Click the "Analyze" button. You will see a new window with the histogram. Just below the blue bar graph button is a button with this symbol: Ex. Clicking this button will toggle summary statistics for the data; these will appear to the left of the graphical display. Find the mean for this sample: x = 11. Assume we DO NOT know that the population's standard deviation, and want to construct a confidence interval based on this sample. Click "Statistics" (just above the area containing the summary statistics) to get a drop-down menu. Since we do not know the population's standard deviation, select "T Estimate of a Mean" from the menu. You may need to resize the panel in order to see everything. In this case, you do not need to enter the value of s. Enter the confidence level in the appropriate place. Note that you must enter the confidence level in decimal form (the default is 95%, entered as 0.95). The lower part of the panel will show you both forms of the confidence interval as well as the Margin of Error. Based on this sample data, a 95% confidence interval for the population mean is: 63.93

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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Please see below. I need help with the red boxes. My answers in those came back as incorrect.
You can complete this problem using Geogebra or Minitab. For Minitab, please see the tutorials in D2L for finding confidence intervals with Minitab. For
Geogebra, see the directions below.
The following data can be copy-pasted into Geogebra. Highlight the entire list below and copy (CTRL-C should work here):
66, 68, 63, 68, 61, 72, 72, 64, 69, 61, 65, 64, 61, 67, 68, 69, 64, 64, 65, 63, 61
For Geogebra: Open Geogebra and choose “Speadsheet." You can also get to the Spreadsheet through the "View" menu. Close the Algebra and
Graphics displays if they are showing; we won't need them.
Now select an empty cell in the Geogebra spreadsheet. Do not select an entire row or column! Paste the copied data (CTRL-V should work). The data will
be pasted across a row in the spreadsheet. To check that you pasted correctly, we'll make a Histogram and compute summary statistics for the data set.
Highlight the entire row where you pasted the data. With this row highlighted, click the blue bar graph at the top of the Geogebra window. This should be
the second button from the left. If you see an icon other than the blue bar graph, hover over the triangle in the corner of the icon (it will turn red), click and
select One Variable analysis from the drop-down menu.
A new Geogebra window (Data Source) will pop-up. Click the "Analyze" button. You will see a new window with the histogram.
Just below the blue bar graph button is a button with this symbol: Ex. Clicking this button will toggle summary statistics for the data; these will appear to
the left of the graphical display.
Find the mean for this sample: x =
11.0
Assume we DO NOT know that the population's standard deviation, and want to construct a confidence interval based on this sample.
Click "Statistics" (just above the area containing the summary statistics) to get a drop-down menu. Since we do not know the population's standard
deviation, select "T Estimate of a Mean" from the menu. You may need to resize the panel in order to see everything.
In this case, you do not need to enter the value of s. Enter the confidence level in the appropriate place. Note that you must enter the confidence level in
decimal form (the default is 95%, entered as 0.95). The lower part of the panel will show you both forms of the confidence interval as well as the Margin
of Error.
Based on this sample data, a 95% confidence interval for the population mean is:
63.93
<H < 67.03
1.55
The margin of error for this 95% confidence interval is
Transcribed Image Text:You can complete this problem using Geogebra or Minitab. For Minitab, please see the tutorials in D2L for finding confidence intervals with Minitab. For Geogebra, see the directions below. The following data can be copy-pasted into Geogebra. Highlight the entire list below and copy (CTRL-C should work here): 66, 68, 63, 68, 61, 72, 72, 64, 69, 61, 65, 64, 61, 67, 68, 69, 64, 64, 65, 63, 61 For Geogebra: Open Geogebra and choose “Speadsheet." You can also get to the Spreadsheet through the "View" menu. Close the Algebra and Graphics displays if they are showing; we won't need them. Now select an empty cell in the Geogebra spreadsheet. Do not select an entire row or column! Paste the copied data (CTRL-V should work). The data will be pasted across a row in the spreadsheet. To check that you pasted correctly, we'll make a Histogram and compute summary statistics for the data set. Highlight the entire row where you pasted the data. With this row highlighted, click the blue bar graph at the top of the Geogebra window. This should be the second button from the left. If you see an icon other than the blue bar graph, hover over the triangle in the corner of the icon (it will turn red), click and select One Variable analysis from the drop-down menu. A new Geogebra window (Data Source) will pop-up. Click the "Analyze" button. You will see a new window with the histogram. Just below the blue bar graph button is a button with this symbol: Ex. Clicking this button will toggle summary statistics for the data; these will appear to the left of the graphical display. Find the mean for this sample: x = 11.0 Assume we DO NOT know that the population's standard deviation, and want to construct a confidence interval based on this sample. Click "Statistics" (just above the area containing the summary statistics) to get a drop-down menu. Since we do not know the population's standard deviation, select "T Estimate of a Mean" from the menu. You may need to resize the panel in order to see everything. In this case, you do not need to enter the value of s. Enter the confidence level in the appropriate place. Note that you must enter the confidence level in decimal form (the default is 95%, entered as 0.95). The lower part of the panel will show you both forms of the confidence interval as well as the Margin of Error. Based on this sample data, a 95% confidence interval for the population mean is: 63.93 <H < 67.03 1.55 The margin of error for this 95% confidence interval is
Based on this sample data, a 98% confidence interval for the population mean is:
63.60
<µ < 67.36
The margin of error for this 98% confidence interval is 1.88
For T-confidence intervals, Geogebra also shows the degrees of freedom (df) and standard error (SE). Note that these do not depend on the confidence
level.
This sample uses a t distribution with
degrees of freedom.
The Standard Error is
Transcribed Image Text:Based on this sample data, a 98% confidence interval for the population mean is: 63.60 <µ < 67.36 The margin of error for this 98% confidence interval is 1.88 For T-confidence intervals, Geogebra also shows the degrees of freedom (df) and standard error (SE). Note that these do not depend on the confidence level. This sample uses a t distribution with degrees of freedom. The Standard Error is
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