Answer:
For the first group, with 19 degrees of freedom, the critical value is t=2.093.
For the second group, with 21 degrees of freedom, the critical value is t=2.080.
Step-by-step explanation:
The critical value of the t-statistic depends on the significance level and the degrees of freedom of the sample.
For a significance level of 0.05, for a two-tailed test, there is an upper 2.5% and a lower 2.5%.
For the first group, with 19 degrees of freedom, the critical value is t=2.093.
For the second group, with 21 degrees of freedom, the critical value is t=2.080.
First, sort the sumbers in order from the least value to the greatest value.
37, 45, 59, 67, 76, 68, 77, 78, 82, 82, 84, 84, 85, 85, 88, 90, 91, 91, 92, 92, 93, 95, 100, 100
There 24 scores listed. Divide 24 by 2 and you get 12.. Find the 12th number in the ordered list from the least value, which is the number 84. Find the 12th score in the ordered list from the large value, which is 85.
Because there are two central numbers, add the two central numbers and divide it by 2.
84+85=169
169/2=84.5
Answer:
Option 3
The rate of change is -5%
Step-by-step explanation:
Given : An exponential function for compounding interest, 
To find : What is the rate of change?
Solution :
The general form of an exponential function is:

Where, a is the initial amount,
(1+r) is the rate of change,
r is the growth or decay factor
We have given, 
Rate of change is



Convert to percent,

Therefore, Option 3 is correct.
Jim drove 50 miles per hour
Answer:
- 26 ounces of 55% solution
- 104 ounces of 80% solution
Step-by-step explanation:
Let x represent the quantity of 80% solution. Then 130-x is the amount of 55% solution. The total amount of salt in the mix is ...
0.80x +0.55(130 -x) = 0.75·130
0.25x = 0.20·130 . . . . . . . subtract 0.55(130)
x = 0.20/0.25(130) = 104
130-x = 26
She should use 26 ounces of 55% solution and 104 ounces of 80% solution.