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What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?

The 90% C.I. is wider and includes more values than the 95% C.I.

The 95% C.I. is more precise in estimating a mean than the 90% C.I.

The 90% C.I. is more precise in estimating a mean than the 95% C.I.

The 95% C.I. is narrower and includes less values than the 90% C.I.

Sagot :

The 90% confidence interval (C.I.) is more precise in estimating a mean than the 95% C.I.

Confidence interval is defined as the range of values where a parameter might fall at a given confidence level. It can be calculated using the formula below.

CI = μ ± z x (SD / √n)

where CI = confidence interval

μ = sample mean

z = found by using a z-score table

SD = sample standard deviation

n = sample size

The larger the degree of confidence is, the wider is the interval. Hence, the 95% C.I. is wider and includes more values than the 90% C.I.

On the other hand, the smaller the degree of confidence is, the more the estimate of a mean is precise. Hence, the 90% C.I. is more precise in estimating a mean than the 95% C.I.

Learn more about confidence interval here: brainly.com/question/15905481

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