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:
We conclude that the area of the right triangle is:
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1
Therefore, we conclude that the area of the right triangle is:
Hence, option A is correct.
Answer:
b
Step-by-step explanation:
11 * 10 equals 110
3 * 2 equals 6
110 - 6 = 104
The answer is 35000. Because 2 significant figures means the 2nd number, in this case it is the number 4 and if we want to round off something, look at the next number, if more than 5 or 5, you must round up.
Answer:
42 yards
Step-by-step explanation
There are 4 sides to a rectangle. 2 lengths, and 2 widths. That means that you multiply both values by 2 and then add them together, so 40 + 2. A more basic way to think of it is 20+20+1+1. Therefore, the perimeter is 41 yards.
