To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Complete parts (a) and (b).
Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
TABLE IS BELOW.
(a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment?
A.
This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator.
B.
This is a good idea in designing the experiment because the sample size is not large enough.
C.
This is a good idea in designing the experiment because reaction times are different.
(b) Use a 95% confidence interval to test if there is a difference in braking time with impaired vision and normal vision where the differences are computed as "impaired minus normal."
The lower bound is
?
The upper bound is
?
(Round to the nearest thousandth as needed.)
State the appropriate conclusion. Choose the correct answer below.
There is sufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision.
There is insufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision.
Click to select your answer(s).
Data Table
|
Subject |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
|
|---|---|---|---|---|---|---|---|---|---|---|
|
Normal, Upper X Subscript iXi |
4.47 |
4.24 |
4.58 |
4.56 |
4.31 |
4.80 |
4.55 |
5.00 |
4.79 |
|
|
Impaired, Upper Y Subscript iYi |
5.86 |
5.85 |
5.45 |
5.32 |
5.83 |
5.49 |
5.23 |
5.61 |
5.63 |
PrintDone
In: Statistics and Probability
A pet food company has a business objective of expanding its product line beyond its current kidney and shrimp-based cat foods. The company developed two new products, one based on chicken liver and the other based on salmon. The company conducted an experiment to compare the two new products with its existing ones , as well as a generic beef-based product sold at a supermarket chain.
For the experiment, a sample of 35 cats from the population at a local animal shelter was selected. Seven cats were randomly assigned to each of the five products being tested. Each of the cats was then presented with 3 ounces of the selected food in a dish at feeding time. The researches defined the variable to be measured as the number of ounces of food that the cat consumed within a 10 minute time interval that began when the filled dish was presented. The results of the experiment are summarized in the table below;
|
Kidney |
Shrimp |
Chicken Liver |
Salmon |
Beef |
|
2.37 |
2.26 |
2.29 |
1.79 |
2.09 |
|
2.62 |
2.69 |
2.23 |
2.33 |
1.87 |
|
2.31 |
2.25 |
2.41 |
1.96 |
1.67 |
|
2.47 |
2.45 |
2.68 |
2.05 |
1.64 |
|
2.59 |
2.34 |
2.25 |
2.26 |
2.16 |
|
2.62 |
2.37 |
2.17 |
2.24 |
1.75 |
|
2.34 |
2.22 |
2.37 |
1.96 |
1.18 |
a) State the appropriate null and alternative hypotheses for this experiment.
b) Use r coding to generate an ANOVAtable. Identify the Sum of Squares between (among) Groups, the Mean of Squares within Groups , the F statistic, and the p value.
c) Use your p value to determine if you are going to reject or fail to reject the null hypothesis at the .05 significance level.
d) Use the F statistic and the F critical value Fc , to determine if you fail to reject the null hypothesis. (Remember that the Fcvalue, and you reject the null hypothesis if Fstat> Fc. You fail to reject the null hypothesis if Fstat< Fc. )
In: Statistics and Probability
Which effect size index is used frequently?
| A. |
Cohen’s d |
|
| B. |
F-ratio |
|
| C. |
Cramér’s V |
|
| D. |
t |
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