Answer:
(23.97, 24.03)
Step-by-step explanation:
Given the data:
224.120 224.001 224.017 223.982 223.989 223.961 223.960 224.089 223.987 223.976 223.902 223.980 224.098 224.057 223.913 223.999
Confidence interval = m ± Zcritical(s/√n)
n = sample size = 16
Zcritical at 95% = 1.96
Using calculator :
Sample mean, m = 224.0019
Standard deviation, s = 0.0618
Lower bound : 24.0019 - 1.96(0.0618/√16) = 23.971618
Upper bound : 24.0019 + 1.96(0.0618/√16) = 24.032182
(23.97, 24.03)
Answer: 54
Step-by-step explanation:
First we add 17 plus 18 to dins total number of students I got 35
Then we make ratio
3/35
So we know we have total number of 630 kids then we make a ratio with no teacher so x
X/630
Lin both together then done ☑️
Answer:
3.6661
3.6661
A, Adding a constant does nothing to the standard deviation
Step-by-step explanation:
I'm gonna assume s=standard deviation
The standard deviation is just the square root of the second moment minus the first moment squared
Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely
Let's start by calculating the first moment (AKA The mean)
1/5(8+16+14+8+16)= 12.4
Let's then find the second moment
1/5(8²+16²+14²+8²+16²)= 167.2
√(167.2-12.4²)=3.6661
b.
While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun
same process
.2(16+24+22+16+24)= 20.4
.2(16²+24²+22²+16²+24²)=429.6
√(429.6-20.4²)= 3.6661
Answer:
$133.20
Step-by-step explanation:
Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.
1. Multiply 7.20 by 18 to get 129.60
2. Multiply 0.50 by 7.20 to get 3.60.
3. Add 129.60 and 3.60 together to get the answer, 133.20.
Answer: Calculus.
Step-by-step explanation: He created calculus.