Answer:
k = 73
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
62
° + k + 45
° = 180
Solve the equation for k
Add 62
° and 45
°
k + 107 = 180
Move all terms not containing C to the right side of the equation.
Subtract 107 from both sides of the equation.
k = 180 − 107
Subtract
k = 73
Step-by-step explanation:
A study was to be undertaken to determine if a particular training program would improve physical fitness. A sample of 31 university students was selected to be enrolled in the fitness program. The researchers wished to determine if there was evidence that their sample of students differed from the general population of untrained subjects. The sample mean is 47.4 and a standard deviation of 5.3. The 98% confidence interval is determined and is given as, (45.2, 49.6) .
If the level of confidence is changed to 95%, then the confidence interval will become shorter but the p-value will not change because it is calculated using the test statistic. So the correct answer is (a).