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Unit: Data & Statistics Name A Homework 2 Date Pd POPULATION INFERENCES The Mitchell Junior High newspaper staff conducted a survey on school start times with two samples of 40 randomly selected students to represent the entire 600 -member student population. The results are shown below. 7:45 START TIME 8:30 START TIME 9:00 AM START TIME SAMPLE #1 12 18 10 SAMPLE #2 14 19 7 Read each headline and explain if the statement is supported by the data. HEADLINE A HEADLINE B HEADLINE C HEADLINE D OVER 300 STUDENTS 8:30 AM START TIME SMALL PERCENTAGE OF LESS THAN 100 WANT TO START MOST POPULAR WITH STUDENTS WANT TO STUDENTS WANT TO AFTER 8:00 AM STUDENTS START AT 9:00 AM Headline A: Headline B: Headline C: Headline D:

Unit: Data \& Statistics\newlineName\newlineA\newlineHomework 22\newlineDate\newlinePd\newlinePOPULATION INFERENCES\newlineThe Mitchell Junior High newspaper staff conducted a survey on school start times with two samples of 4040 randomly selected students to represent the entire 600600 -member student population.\newlineThe results are shown below.\newline\begin{tabular}{|c|c|c|c|}\newline\cline { 22 - 44 } \multicolumn{11}{c|}{} & \begin{tabular}{c}\newline7:45 7: 45 \\\newlineSTART TIME\newline\end{tabular} & \begin{tabular}{c}\newline8:30 8: 30 \\\newlineSTART TIME\newline\end{tabular} & \begin{tabular}{c} \newline99:0000 AM \\\newlineSTART TIME\newline\end{tabular} \\\newline\hline SAMPLE \#11 & 1212 & 1818 & 1010 \\\newline\hline SAMPLE \#22 & 1414 & 1919 & 77 \\\newline\hline\newline\end{tabular}\newline11. Read each headline and explain if the statement is supported by the data.\newlineHEADLINE A\newlineHEADLINE B\newlineHEADLINE C\newlineHEADLINE D\newlineOVER 300300 STUDENTS\newline88:3030 AM START TIME\newlineSMALL PERCENTAGE OF\newlineLESS THAN 100100\newlineWANT TO START\newlineMOST POPULAR WITH\newlineSTUDENTS WANT TO\newlineSTUDENTS WANT TO\newlineAFTER 88:0000 AM STUDENTS START AT 99:0000 AM\newlineHeadline A:\newlineHeadline B:\newlineHeadline C:\newlineHeadline D:

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Q. Unit: Data \& Statistics\newlineName\newlineA\newlineHomework 22\newlineDate\newlinePd\newlinePOPULATION INFERENCES\newlineThe Mitchell Junior High newspaper staff conducted a survey on school start times with two samples of 4040 randomly selected students to represent the entire 600600 -member student population.\newlineThe results are shown below.\newline\begin{tabular}{|c|c|c|c|}\newline\cline { 22 - 44 } \multicolumn{11}{c|}{} & \begin{tabular}{c}\newline7:45 7: 45 \\\newlineSTART TIME\newline\end{tabular} & \begin{tabular}{c}\newline8:30 8: 30 \\\newlineSTART TIME\newline\end{tabular} & \begin{tabular}{c} \newline99:0000 AM \\\newlineSTART TIME\newline\end{tabular} \\\newline\hline SAMPLE \#11 & 1212 & 1818 & 1010 \\\newline\hline SAMPLE \#22 & 1414 & 1919 & 77 \\\newline\hline\newline\end{tabular}\newline11. Read each headline and explain if the statement is supported by the data.\newlineHEADLINE A\newlineHEADLINE B\newlineHEADLINE C\newlineHEADLINE D\newlineOVER 300300 STUDENTS\newline88:3030 AM START TIME\newlineSMALL PERCENTAGE OF\newlineLESS THAN 100100\newlineWANT TO START\newlineMOST POPULAR WITH\newlineSTUDENTS WANT TO\newlineSTUDENTS WANT TO\newlineAFTER 88:0000 AM STUDENTS START AT 99:0000 AM\newlineHeadline A:\newlineHeadline B:\newlineHeadline C:\newlineHeadline D:
  1. Calculate Total Students: Headline A: OVER 300300 STUDENTS WANT TO START AFTER 88:0000 AM\newlineTo verify this headline, we need to add the number of students who prefer the 88:3030 AM and 99:0000 AM start times from both samples and then extrapolate to the entire student population.\newlineCalculation: (Sample #1 for 8:30 AM+Sample #1 for 9:00 AM)+(Sample #2 for 8:30 AM+Sample #2 for 9:00 AM)=(18+10)+(19+7)=28+26=54(\text{Sample } \#1 \text{ for } 8:30 \text{ AM} + \text{Sample } \#1 \text{ for } 9:00 \text{ AM}) + (\text{Sample } \#2 \text{ for } 8:30 \text{ AM} + \text{Sample } \#2 \text{ for } 9:00 \text{ AM}) = (18 + 10) + (19 + 7) = 28 + 26 = 54\newlineTo extrapolate to the entire student population: (54 students/80 surveyed)×600 total students=405 students(54 \text{ students} / 80 \text{ surveyed}) \times 600 \text{ total students} = 405 \text{ students}
  2. Compare Start Times: Headline B: 8:308{:}30 AM START TIME MOST POPULAR WITH STUDENTS\newlineTo verify this headline, we need to compare the number of students who prefer the 8:308{:}30 AM start time to the other start times in both samples.\newlineCalculation: Sample \#11 for 8:308{:}30 AM (1818) and Sample \#22 for 8:308{:}30 AM (1919) are both higher than the other times in their respective samples.
  3. Calculate Percentage: Headline C: SMALL PERCENTAGE OF STUDENTS WANT TO START AT 99:0000 AM\newlineTo verify this headline, we need to determine the percentage of students who prefer the 99:0000 AM start time in both samples.\newlineCalculation: (Sample #1 for 9:00 AM+Sample #2 for 9:00 AM)/Total students surveyed=(10+7)/80=17/80=0.2125 or 21.25%(\text{Sample } \#1 \text{ for } 9:00 \text{ AM} + \text{Sample } \#2 \text{ for } 9:00 \text{ AM}) / \text{Total students surveyed} = (10 + 7) / 80 = 17 / 80 = 0.2125 \text{ or } 21.25\%
  4. Calculate Students for 77:4545 AM: Headline D: LESS THAN 100100 STUDENTS WANT TO START AT 77:4545 AM\newlineTo verify this headline, we need to add the number of students who prefer the 77:4545 AM start time from both samples and then extrapolate to the entire student population.\newlineCalculation: (Sample #11 for 77:4545 AM + Sample #22 for 77:4545 AM) = 12+14=2612 + 14 = 26\newlineTo extrapolate to the entire student population: (2626 students / 8080 surveyed) * 600600 total students = 195195 students

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