Question

3) PAIHED T-TEST manufacturer is interested in showing that a mewly developed gawline additive nond maks of cars. To do so, the manufacturer Hocreases gasoline mileage obtainet by gring premmen unkaded gavoline and then using obtains fixw new cans. Each car is tested he variable of interest cach tirre is the number of milis per gallon obtained. The data from the test are: \begin{tabular}{|l|l|l|} \hline P(no additive) & \( y \) (with mdditive) & \( d \) \\ \hline 15 & 16 & \( y \) (difference) \\ \hline 17 & 15 & \\ \hline 12 & 15 & \\ \hline 25 & 27 & \\ \hline 35 & 35 & \\ \hline \end{tabular} 4. Copy and complete the above table by finding the five difference scores generated by these paired observation b. Find an unbiased estimate for the mean difference in mileage with and withont additive 5. Find an unbiased estimate of the variance in the difference in mileage obtained with and without the additive d. find \( S_{d} \) e. assuming normality, perform a hypothesis test whether or not there is a difference between the mean mileage of the two gasoline. Use 0.05 significance level

          3) PAIHED T-TEST
manufacturer is interested in showing that a mewly developed gawline additive nond maks of cars. To do so, the manufacturer Hocreases gasoline mileage obtainet by gring premmen unkaded gavoline and then using obtains fixw new cans. Each car is tested he variable of interest cach tirre is the number of
milis per gallon obtained. The data from the test are:
\begin{tabular}{|l|l|l|}
\hline P(no additive) & \( y \) (with mdditive) & \( d \) \\
\hline 15 & 16 & \( y \) (difference) \\
\hline 17 & 15 & \\
\hline 12 & 15 & \\
\hline 25 & 27 & \\
\hline 35 & 35 & \\
\hline
\end{tabular}
4. Copy and complete the above table by finding the five difference scores generated by these paired observation
b. Find an unbiased estimate for the mean difference in mileage with and withont additive
5. Find an unbiased estimate of the variance in the difference in mileage obtained with and without the additive
d. find \( S_{d} \)
e. assuming normality, perform a hypothesis test whether or not there is a difference between the mean mileage of the two gasoline. Use 0.05 significance level

3) PAIHED T-TEST
manufacturer is interested in showing that a mewly developed gawline additive nond maks of cars. To do so, the manufacturer Hocreases gasoline mileage obtainet by gring premmen unkaded gavoline and then using obtains fixw new cans. Each car is tested he variable of interest cach tirre is the number of
milis per gallon obtained. The data from the test are:

P(no additive) y (with mdditive) d

15 16 y (difference)

17 15

12 15

25 27

35 35

4. Copy and complete the above table by finding the five difference scores generated by these paired observation
b. Find an unbiased estimate for the mean difference in mileage with and withont additive
5. Find an unbiased estimate of the variance in the difference in mileage obtained with and without the additive
d. find Sd
e. assuming normality, perform a hypothesis test whether or not there is a difference between the mean mileage of the two gasoline. Use 0.05 significance level

Added by Gregg M.

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