Question

In order to form a 99.7% confidence interval for μ= the population mean, a sample of n = 36 was selected. The sample was found to have a mean of 6 and a standard deviation of 3.

The multiplier is __________ .

Answer 1

In order to calculate confidence interval we have to calculate multiplier value, which is Z score corresponds to the confidence level.

In given question we have confidence interval then level of confidence will be (1-0.997)=0.003

Now Z score can be computed from Z table corresponds to p value 0.003

P(Z>z) = 0.0003

Then z= 2.968. (from z table)

Hence multiplier value is 2.968 to calculate confidence interval for 99.7% confidence.

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