This is the first 2 boxes just go in rows from side to side Hope this helped
IM SO LOST !!!! The question is write an algebraic rule to describe each transformation. Then describe the transformation .
1 answer:
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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