Answer: a.) $50188 to $57812
Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.
The interval is calculated as
x ± 
a. For a 95% CI, z-value is 1.96.
Solving:
54,000 ± 
54,000 ± 
54,000 ± 1.96*1732.102
54,000 ± 3395
This means the interval is
50605 < μ < 57395
<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>
<u />
b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.
ANSWER
56.1 square inches.
EXPLANATION
The area of this triangle can be calculated using the formula,
where a=8in.
b=14.2 in.
and C=99° is the included angle.
We plug in these values to obtain,
We round to the nearest tenth to get,
56.1 sq. inch
f(x) = (3x+5)/7
Step 1:
we write f(x) as y
y=(3x+5)/7
Step 2:
switch y by x and x by y
x=(3y+5)/7
Step 3:
solve for y,
x=(3y+5)/7
multiply both sides by 7
7x=3y+5
subtract 5 from left side
3y=7x-5
divide both sides by 3
y= (7x-5)/3
f⁻¹ (x) =(7x-5)/3
<h2>
Answer with explanation:</h2><h2 />
The confidence interval for population mean is given by :-
Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.
Sample mean : 
Standard deviation: 
Significance level : 
By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-
Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-
Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)
