RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CONFIDENCE INTERVALS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A large sample has mean of 7.1 and Standard Error of 2.3.Construct a 90% Confidence Interval for the population mean µ (to two decimal places).
A
(3.32, 10.88)
B
(3.8, 7.1)
C
(3.3, 10.9)
D
(3.3165, 10.8835)
Explanation: 

Detailed explanation-1: -z/2 = 1.960 if 95% confidence interval z/2 = 2.576 if 99% confidence interval.

Detailed explanation-2: -The sample mean plus or minus 1.96 times its standard error gives the following two figures: This is called the 95% confidence interval, and we can say that there is only a 5% chance that the range 86.96 to 89.04 mmHg excludes the mean of the population.

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