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 |
|
21.2 |
23.8 |
|
25.4 |
25.6 |
|
20.9 |
22.4 |
|
27.6 |
28.3 |
|
22.8 |
24.5 |
|
27.3 |
28.8 |
|
23.4 |
25.2 |
A) 0.78
B) 0.69
C) 0.87
D) 0.48
This is asking for standard deviation of paired differences.
Statistics software output:

Hence, answer is Option A) 0.78
If it is asking something else please post in comment I will answer. Thank you.
A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random...
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 25.02 26.48 23.91 29.39 25.85 29.69 20.27 25.39 24.99 25.81 20.72 28.21 24.39 25.18 Determine the standard deviation of the difference. 2.621 4.121 6.872 4.121
A researcher intended to investigate the potential difference in BMI between men and women. He also tried to evaluate the effectiveness of a new physical exercise program in reducing BMI. Table 1 summarized the BMI data. At the beginning of the study (Day 0), 64 men and 49 women were included in the study and their BMI values were measured (defined as BMI_M0 and BMI_F0, respectively). After joining the new physical exercise program for 180 days, the participants’ BMI values...
You are required to write a concise report with all your answers in doc or pdf file. You should include tables or figures from Excel in your report if needed. All data sets were simulated using a statistical software. You can also find Excel temples in the attachment with my announcement, which helps you a lot! Part A. A researcher intended to investigate the potential difference in BMI between men and women. He also tried to evaluate the effectiveness of...