bobbing for apples

Q1. You’re invited to a Costume Party where one of the activities is bobbing for apples. Suddenly, your urge to compute statistics overcomes you and you decide to count how long each costumed person spends bobbing for apples. You are disappointed in the times that these guests can bob for apples, so you hire a professional apple bobber to train them. You record each participant’s time before training and after training. You organize your data in the table below:

Participant Bobbing time (seconds) (before training) Bobbing time (seconds)
(after training)
Clown 16 14
Zombie 15 13
Batman 25 22
Godzilla 17 16
King Kong 11 10
Plant 10 10
Hello Kitty 16 14
Harley Quinn 20 18

What type of t-test will you run? Independent samples or Related-samples (bold and underline the answer)

Run the following descriptive statistics on the time variable, and write them below:
Mean before:______
Mean after:______
Standard Deviation before:_______
SD after:______
Standard Error of the Mean before:______
SEM after:_________

What is the p-value of the t-test? _________

Is the sample significant? (Yes / No) (underline and bold answer)

Type an interpretation of the data (please report the statistic ie t(df)=t(obt), p=etc, Look to textbook for suggested guide on writing a summary):
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Q2. Later in the evening there is a pie-eating contest. Competitors are organized into groups according to their costumes. Excited, you decide to record the results of the Plants versus Zombies contest. You organize the number of pies eaten by each participant in the table below:

Plants Zombies
4 9
7 6
5 8
6 10
5 8
7 11

What type of t-test will you run? Independent samples or Related-samples (bold and underline the answer)

Run the appropriate t-test for this data and tell me the following:
P-value for Levene’s Test for Equality of Variances:_________
P-value for t-test:________
Based on Levene’s Test, can we trust the results of our t-test? (Y / N)
Which group has the lower mean score? __________

Report the results below in a properly formatted sentence. (similar to question 1)

_______________________________________________________________________________________________________________________________________________________________________________________________________________________.

Q3. Godzilla wants to know whether taller monsters are meaner (she is quite tall). She measures the height of her monster friends (in feet) and rates their meanness on a scale of 1-10 (10 being the meanest). She lists her data below:

Height(x) Meanness(y)
50 7
100 8
60 5
20 3
120 10

Run a bivariate correlation
What is Pearson’s correlation value? ___________
What is Pearson’s p-value? __________
Is this correlation significant at a .05 level? ________
Run a linear regression on this data and write the equation for a linear regression using your obtained b and a values (example: y = 2x+3, page 48) : __________________________

Based on your equation, what would be the meanness rating of an 80 foot monster? _________

What would be the height of a monster with a meanness rating of 4? __________

Q4. To thank her friends for participating the meanness survey, Godzilla throws a small party. She invites all of her friends and victims and offers two food choices. Below is a contingency table with the frequency that each food option was selected for lizard and non-lizard guests.

Food Option Lizard Non-Lizard
Sautéed Grasshopper 20 9
Cheese Pizza 8 16

Which Chi Square test will you run? Goodness of Fit or Test of Independence (underline and bold your answer)

What is the Pearson Chi Square p-value for this test? ___________________

Was the p-value significant? (yes or no)

If Lizards ate the same amount of Pizza as they did Grasshoppers, how would the p-value change? (More or Less) significant (bold and underline your answer) (Hint: Try switching the numbers in the Data view and comparing)

Report the results below in a properly formatted sentence.
_______________________________________________________________________________________________________________________________________________________________________________________________________________________.