Confidence Intervals. In Exercises 9–24, construct the confidence interval estimate of the mean. What is the practical use of the confidence interval?

UkusakazaL

UkusakazaL

Answered question

2021-08-09

Confidence Intervals. In Exercises 9–24, construct the confidence interval estimate of the mean.
Genes Samples of DNA are collected, and the four DNA bases of A, G, C, and T are coded as 1, 2, 3, and 4, respectively. The results are listed below. Construct a 95% confidence interval estimate of the mean. What is the practical use of the confidence interval?
2 2 1 4 3 3 3 3 4 1

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-16Added 163 answers

Step 1
N=10
Degrees of freedom d.f=101=9
Confidence interval 95%=0.95
Given values are
2 2 1 4 3 3 3 3 4 1
Step 2
mean:
x=2+2+1+4+3+3+3+3+3+4+110
2610=2.6
stan dard desiation:
s=(22.6)2+(22.6)2+(12.6)2+(42.6)2+(32.6)2+(32.6)2+(32.6)2+(32.6)2+(32.6)2+(42.6)2+(12.6)210
=1.0750
Step 3
The margin of error is:
α=10.95
=0.05
tα2=t0.052=2.262
tα2=t0.052=2.262
=2.2621.075010
=0.7690
Step 4
The confidence interval are,
No practical use of confidence intervals.
xE=2.60.7690=1.8310
xE=2.6+0.7690=3.3690
Step 5
RESULT:
(1.8310, 3.3690)
No practical use.

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