When you say comparing do you mean dividing or just comparing
Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:


2.08
Now, we estimate standard deviation:


s = 0.1564
For t-score, we need to determine degree of freedom and
:
df = 12 - 1
df = 11
= 1 - 0.95
α = 0.05
0.025
Then, t-score is
= 2.201
The interval will be
± 
2.08 ± 
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.
Answer:
700 Dollars
Step-by-step explanation:
The expression for solving this is I = prt
So lets start with P, that is our principal or amount of money we start with, and we want to multiply it by our rate, or r , which is 3.5, so we would do 5000 x 0.035 to get 175, then we multiply that by our time or t, which is 4 years, so 175 x 4 = 700 dollars :D
Given:
The function is:

To find:
The steps of finding the inverse function
.
Solution:
We have,

The steps of finding the inverse function are:
Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Taking square on both sides, we get

Step 4: Adding 21 on both sides, we get

Step 5: Divide both sides by 7.

Step 6: Substitute
.
, where
.
Therefore, the inverse of the given function is
and the arrangement of steps is shown above.