Determine the confidence interval. WeekStatistics andscores for each group.From the experimental group:n20, so df 1982.5, and s =From the control group:n 20, so df 19X 80, andsThe point estimates for the population meansare the sample means. Thus, the pointestimate for u, is 82.5 and the point estimatefor is 80.b. Find the point estimate.95% Confidence IntervalDetermine the confidence interval.a. Determine the confidence coefficient.Since n 20, then the df 19. The confidencecoefficients in the t-table under 0.95 (for 95%)isFor the experimental group:E =ta/2b. Find the maximum error E.%3D%3D(0.67)For the control group:E =ta/26./20/(1.34)= 2.8For the experimental group:C. Find the lower and the upperconfidence limits.X -tE

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Answered: Determine the confidence interval.

Math

Statistics

Determine the confidence interval.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Determine the confidence interval.

Week
Statistics and
scores for each group.
From the experimental group:
n20, so df 19
82.5, and s =
From the control group:
n 20, so df 19
X 80, ands
The point estimates for the population means
are the sample means. Thus, the point
estimate for u, is 82.5 and the point estimate
for is 80.
b. Find the point estimate.
95% Confidence Interval
Determine the confidence interval.
a. Determine the confidence coefficient.
Since n 20, then the df 19. The confidence
coefficients in the t-table under 0.95 (for 95%)
is
For the experimental group:
E =ta/2
b. Find the maximum error E.
%3D
%3D
(0.67)
For the control group:
E =ta/2
6.
/20/
(1.34)
= 2.8
For the experimental group:
C. Find the lower and the upper
confidence limits.
X -t
E<u<X +t
So, 82.5 - 1.40 = 81.1 (lower limit)
82.5+1.40 83.9 (upper limit)
For the control group:
So,
=77.2
=82.8
d. Describe the results.
We can say with 95% confidence that the
interval between 81.1 and 83.9 contains the
true mean of the experimental population while
the interval between 77.2 and 82.8 contains
the true mean of the control population based
on the given sample data.

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