Use the stat crunch data and determine if the mean quiz score is higher for those to take the quiz before lunch over there to take the quiz after lunch and a significance level of 0.05.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Use the stat crunch data and determine if the
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8b71f3b-a0e5-4be1-9a73-ea216de92750%2F9364e093-b890-4729-ae65-253f2a2d67f3%2Fgaosczp_processed.png&w=3840&q=75)
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