RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CONFIDENCE INTERVALS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The 90% interval for a statistics test was given by 72 +-7. What is the lower bound for the interval?
A
7
B
72
C
65
D
79
Explanation: 

Detailed explanation-1: -If the level of confidence is 90%, this means that we are 90% confident that the interval contains the population mean, µ. The corresponding z-scores are ± 1.645. If the level of confidence is 95%, this means that we are 95% confident that the interval contains the population mean, µ.

Detailed explanation-2: -For a two-tailed 95% confidence interval, the alpha value is 0.025, and the corresponding critical value is 1.96. This means that to calculate the upper and lower bounds of the confidence interval, we can take the mean ±1.96 standard deviations from the mean.

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