Question

Estimate the population mean by finding a 90x confidence interval given a sample of size 53 , with a mean 82.1 and a standard deviation of 9.1 . Prela.

Is it safe to assume that n<0.05 of all subjects in the population?
(a).True
(b).False

Answer 1

To estimate the population mean and find a 90% confidence interval, use the formula Confidence Interval = Sample Mean ± (Critical Value) × (Standard Deviation / sqrt(Sample Size)). For this question, the 90% confidence interval is approximately (80.834 to 83.366).

Step-by-step explanation:

To estimate the population mean and find a 90% confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) × (Standard Deviation / sqrt(Sample Size))

Given that the sample mean is 82.1, the standard deviation is 9.1, and the sample size is 53, we can calculate the confidence interval as follows:

Confidence Interval = 82.1 ± (1.645) × (9.1 / sqrt(53))

Simplifying the expression, we get:

Confidence Interval = 82.1 ± 1.266

Therefore, the 90% confidence interval is approximately (80.834 to 83.366).