Question

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 110, and the sample standard deviation, s, is found to be 10. (b) Construct a 98% confidence interval about mu if the sample size, n, is 26.

Name: a simple random sample of size n is drawn from a population that is normally distributed the sample mean x overbar is found to be 110 and the sample standard deviation s is found to be 10 b 13063
Uploaded: 2023-09-15T11:27:24-08:00
Duration: 1 min 22 s
Channel: Adi S
Description: a simple random sample of size n is drawn from a population that is normally distributed the sample mean x overbar is found to be 110 and the sample standard deviation s is found to be 10 b 13063

          A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, x overbar, is found to
be 110, and the sample standard deviation, s, is found to be 10.
 (b) Construct a 98% confidence interval about mu if the sample
size, n, is 26.

Added by Eduardo R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/15/2023

Step 1

Since we want to construct a 98% confidence interval, the level of significance (alpha) is 0.02 (1 - 0.98). We need to find the critical value from the t-distribution table with n-1 degrees of freedom. Since n=26, the degrees of freedom is 25. From the table, the Show more…

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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 110, and the sample standard deviation, s, is found to be 10. (b) Construct a 98% confidence interval about mu if the sample size, n, is 26.