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.
Hey there!
In an isosceles triangle the 2 base angles are congruent, therefore angle B would measure 50 degrees just like the measure of angle A.
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Answer:
-24
Step-by-step explanation:
So in short this is what it means:
-4×-2×-3
So to work it out this is what you do:
Deal with the first two numbers; -4 × -2=8
It becomes an eight without a negative because when multiplying numbers with the same signs(positive or negative) the answer is always a positive number thus the answer becomes 8.
Then 8×-3=-24
This is because when multiplying a negative and positive numbers the answer is always a negative numbers thus -24.
So automatically the answer is -24.
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To do these, always convert the percents to decimals, so you can subtract it from 1. Remember, 1 is the whole. When you subtract the part that's taken off, you are left with what you have to pay. If you have 20% off of $100, then you are paying for 80% of $100. **of means to multiply** so you would multiply: 0.8X100, which would be $80.
First, multiply 125x0.8
Multiply that answer by 0.7
You should get B. $70
3) multiple 22.90x0.93
You should get D
Answer:
A 5.25, B 5.75, C 10.25, D 25.8125
Step-by-step explanation: