The answer is 22.222222%.
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).
Answer:
-x +6
Step-by-step explanation:
We assume you want to simplify this.
Use the distributive property to eliminate the parentheses. That property tells you that the factor outside parentheses (2) will multiply both of the terms inside parentheses. It's as though you had a bag (parentheses) with two objects inside. Two such bags will have two of each of those objects.
2(-x +3) +x
= 2(-x) +2(3) +x
= -2x +6 +x
Now, the like terms -2x and +x can be combined.
= x(-2 +1) +6
= x(-1) +6
= -x +6 . . . . . the simplified expression
Percent decrease. 41%
percent change= (new-old)/old *100
= -41 % the negative means decreasing