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A Researcher Wanted to Determine If Using an Octane Booster

question 11

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A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random
sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks
with the booster.
 Miles / Gal Without  Miles / Gal With 21.223.825.425.620.922.427.628.322.824.527.328.823.425.2\begin{array} { | l | l | } \hline \text { Miles / Gal Without } & \text { Miles / Gal With } \\\hline 21.2 & 23.8 \\\hline 25.4 & 25.6 \\\hline 20.9 & 22.4 \\\hline 27.6 & 28.3 \\\hline 22.8 & 24.5 \\\hline 27.3 & 28.8 \\\hline 23.4 & 25.2 \\\hline\end{array}
-A dietician investigated whether apples turned brown at different rates when exposed to air after being washed in hot water or in cold water. She took 12 random apples and cut each in half. She washed one
Half of each apple in hot water and the other half in cold water, and then put both halves out in a tray. Her
Results (in hours until turning a particular shade of brown) are in the table below. At  A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster.   \begin{array} { | l | l | }  \hline \text { Miles / Gal Without } & \text { Miles / Gal With } \\ \hline 21.2 & 23.8 \\ \hline 25.4 & 25.6 \\ \hline 20.9 & 22.4 \\ \hline 27.6 & 28.3 \\ \hline 22.8 & 24.5 \\ \hline 27.3 & 28.8 \\ \hline 23.4 & 25.2 \\ \hline \end{array}  -A dietician investigated whether apples turned brown at different rates when exposed to air after being washed in hot water or in cold water. She took 12 random apples and cut each in half. She washed one Half of each apple in hot water and the other half in cold water, and then put both halves out in a tray. Her Results (in hours until turning a particular shade of brown)  are in the table below. At   , did she see a Difference between the two treatments?  \begin{array} { | l | c | c | c | }  \hline & \text { Hot Water } & \text { Cold Water } & \begin{array} { c }  \text { Difference } \\ \text { by Apple } \end{array} \\ \hline \text { Sample mean } & 6.00 & 5.95 & - 0.05 \\ \hline \text { Sample variance } & 2.10 & 2.50 & 0.65 \\ \hline \end{array}  A)  No, because the test value -0.06 is inside the range (-3.05, 3.05) . B)  No, because the test value -0.21 is inside the range (-3.11, 3.11) . C)  No, because the test value -0.21 is inside the range (-3.05, 3.05) . D)  No, because the test value -0.06 is inside the range (-3.11, 3.11) . , did she see a
Difference between the two treatments?  Hot Water  Cold Water  Difference  by Apple  Sample mean 6.005.950.05 Sample variance 2.102.500.65\begin{array} { | l | c | c | c | } \hline & \text { Hot Water } & \text { Cold Water } & \begin{array} { c } \text { Difference } \\\text { by Apple }\end{array} \\\hline \text { Sample mean } & 6.00 & 5.95 & - 0.05 \\\hline \text { Sample variance } & 2.10 & 2.50 & 0.65 \\\hline\end{array}


Definitions:

Credit Sale

A transaction where the goods or services are provided to the customer with payment to be made at a later date.

Accounts Receivable

This refers to the amount of money customers are yet to pay a company for the products or services which have already been provided.

Sales Revenues

Revenue generated through the sales of goods or services throughout a certain period.

Credit Sales

Sales made by a business wherein the payment is postponed, leading to the creation of an account receivable.

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