Angle 1 is corresponding to angle 5.
This is where one angle has the same relative position as another angle.
1. To calculate the mean, we first total the number of hours: The 20 students' total number of study hours
is 118.5 hours.
2. We divide by the number of samples to find the mean: <span>The sample mean is 5.93.</span>
3. Next, we find the SD: <span>Calculate the standard deviation.</span>
4. Then we divide SD by the number of samples to get the standard error: the standard error of the mean of the sample is 0.45.
5. Since for a 95% CI, the corresponding z-score is 1.96 ~ 2, we use the formula for CI: mean +/- z*SE, which is: The range in which 95% of the sample
mean occurs is 5.93 + 2 × 0.45 = 6.83 hours and 5.93 − 2 × 0.45 = 5.03
hours.
6. Finally: The range in which
95% of the sample mean occurs is (5.03, 6.83).
260 inches in 15 seconds can be written as a fraction: 260/15. This an be simplified, however, to 3 seconds: Dividing both numbers by 5 gets you 52 and 3. Fraction wise, it’ll be: 52/3