Answer:
<h2>The answer is 5 units</h2>Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (9,-7) and (5, -4)
The distance between them is
We have the final answer as
<h3>5 units</h3>Hope this helps you
Answer: a. CI for the mean: 17.327 < μ < 26.473
b. CI for variance: 29.7532 ≤ ≤ 170.9093
Step-by-step explanation:
a. To construct a 95% confidence interval for the mean:
The given data are:
mean = 21.9
s = 7.7
n = 12
df = 12 - 1 = 11
1 - α = 0.05
= 0.025
t-score = = 2.2001
Note: since the sample population is less than 30, it is used a t-score.
The formula for interval:
mean ±
Substituing values:
21.9 ± 2.200.
21.9 ± 4.573
The interval is: 17.327 < μ < 26.473
b. A 95% confidence interval for the variance:
The given values are:
=
= 59.29
α = 0.05
= 0.025
= 0.975
= 21.92
= 3.816
Note: To find the values for and
, look for them at the chi-square table
The formula to calculate interval:
()
are the lower and upper limits, respectively.
Substituing values:
()
(29.7532, 170.9093)
The interval for variance is: 29.7532 ≤ ≤ 170.9093