Question

In a clinic, a random sample of 100 days are used to calculate the number of patients seen per day. The mean is 125 patients with a standard deviation of 30 patients. The standard error of the mean is 3. The 95% confidence interval will be between which two values?

• A. Between 122 and 128 patients
• B. Between 66 and 184 patients
• C. Between 119 and 131 patients
• D. Between 95 and 155 patients

Answer 1

Solution :

Given that,

Using Empirical rule,

P(  - 2 < <   + 2 ) = 95%

P(125 - 2 * 3 < < 125 + 2 * 3) = 95%

P(122 < < 128) = 95%

A) Between 122 and 128 patients