A high school teacher wants to see if there is an effect on vocabulary recall between when students take a quiz before lunch and when they take it after lunch. She randomly selected 10 students and assessed them before lunch on Tuesday. On Wednesday she randomly selected 10 students and assessed them after lunch. The following were the percentage results Before lunch 62 60 68 64 72 75 63 60 64 80 After lunch 72 85 72 62 84 76 66 63 65 64 What type of samples were selected – independent or dependent (paired)? Explain.

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5.
A high school teacher wants to see if there is an effect on vocabulary recall between when students take a quiz before
lunch and when they take it after lunch. She randomly selected 10 students and assessed them before lunch on Tuesday.
On Wednesday she randomly selected 10 students and assessed them after lunch. The following were the percentage
results
Before lunch
62
60
68
64
72
75
63
60
64
80
After lunch
72
85
72
62
84
76
66
63
65
64
What type of samples were selected – independent or dependent (paired)? Explain.
StatCrunch was used to analyze the data, and the output for both types of samples (independent and dependent) is given
below. Using the appropriate output, determine if the mean quiz score is higher for those who take the quiz before lunch
over those who take the quiz after lunch at a significance level of 0.05.
Hypothesis test results:
mean before lunch
mean after lunch
Hypothesis test results:
:
µi - µ2 :
mean of the PAIRED difference
µ2
:
between Before and After Lunch
Difference Sample Mean Std. Err.
DF
Difference
Sample Diff.
Std. Err.
- u2
-4.13.4359214|17.185564
Seatbelt
None
-4.1
3.3281627
The two-sided p-value is 0.2492.
The two-sided p-value is 0.2632.
Transcribed Image Text:5. A high school teacher wants to see if there is an effect on vocabulary recall between when students take a quiz before lunch and when they take it after lunch. She randomly selected 10 students and assessed them before lunch on Tuesday. On Wednesday she randomly selected 10 students and assessed them after lunch. The following were the percentage results Before lunch 62 60 68 64 72 75 63 60 64 80 After lunch 72 85 72 62 84 76 66 63 65 64 What type of samples were selected – independent or dependent (paired)? Explain. StatCrunch was used to analyze the data, and the output for both types of samples (independent and dependent) is given below. Using the appropriate output, determine if the mean quiz score is higher for those who take the quiz before lunch over those who take the quiz after lunch at a significance level of 0.05. Hypothesis test results: mean before lunch mean after lunch Hypothesis test results: : µi - µ2 : mean of the PAIRED difference µ2 : between Before and After Lunch Difference Sample Mean Std. Err. DF Difference Sample Diff. Std. Err. - u2 -4.13.4359214|17.185564 Seatbelt None -4.1 3.3281627 The two-sided p-value is 0.2492. The two-sided p-value is 0.2632.
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