Answer:
A. t = 3.5833-0/√10.1850/√12
Explanation:
It is A because the formula for calculating the t-test statistic for a one-sample t-test is:
t = (x - μ) / (s / √(n))
where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
In this case, the null hypothesis is that there is no difference between the average commute time by car and the average commute time by public transportation. Therefore, the hypothesized population mean is 0.
The sample mean difference between the two commute times is 3.5833, the sample standard deviation is 10.1850, and the sample size is 12. Plugging these values into the formula gives:
t = (3.5833 - 0) / (10.1850 / √(12))
which simplifies to:
t = 3.5833 / 2.9462
and further simplifies to:
t = 1.2177
which is rounded to four decimal places. Therefore, the correct answer is A.
Hope this helped, I'm sorry if it is wrong. If you need more help, ask me! :]