Scientists did a study to see whether a new fuel additive had any effect on gas mileage (mpg). Seven identical cars were driven for 1 week with normal gas/no additive, and then driven the next week using gas with the additive. The miles-per-gallon was recorded for each vehicle. Please use the appropriate t-test and do the calculations requested below and fill in the blanks. No additive Additive D D2 16 19 3 9 13 16 3 9 15 14 -1 1 17 17 0 0 20 24 4 16 26 28 2 4 25 28 3 9 ∑D=14 ∑D2= 48 For this study, the sample size n = and the mean difference MD = . The SSD = , the variance s2D = , the standard error SMD = and your t value = . Please report values with no decimal place if it comes out a whole number, 1 decimal if it comes out that way, and round to two decimal places when it needs to be rounded. Use the t- table to find the correct critical t-value for this hypothesis test (use .05)? report 3 decimal places like the table Is the difference found between groups in this study statistically significant?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Scientists did a study to see whether a new fuel additive had any effect on gas mileage (mpg). Seven identical cars were driven for 1 week with normal gas/no additive, and then driven the next week using gas with the additive. The miles-per-gallon was recorded for each vehicle. Please use the appropriate t-test and do the calculations requested below and fill in the blanks.
No additive Additive D D2
16 19 3 9
13 16 3 9
15 14 -1 1
17 17 0 0
20 24 4 16
26 28 2 4
25 28 3 9
∑D=14 ∑D2= 48
For this study, the
The SSD = , the variance s2D = , the standard error SMD = and your t value = .
Please report values with no decimal place if it comes out a whole number, 1 decimal if it comes out that way, and round to two decimal places when it needs to be rounded.
Use the t- table to find the correct critical t-value for this hypothesis test (use .05)? report 3 decimal places like the table
Is the difference found between groups in this study statistically significant?
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