Question

A random sample of 98 was collected and provided a sample mean 37.3 and a population standard deviation of 7.82 . The values were the hours spent watching sports programs in one month.

Answer 1

To construct a 98 percent confidence interval, use the sample mean, standard deviation, and sample size.

Step-by-step explanation:

The subject of this question is Mathematics and the grade level is College.

To construct a 98 percent confidence interval for the mean number of hours statistics students will spend watching television in one average week, we need to use the sample mean, the standard deviation, and the sample size.

The formula for calculating a confidence interval is:

Confidence interval = sample mean ± (z * (standard deviation / sqrt(sample size)))

Substituting the given values, we have:

Confidence interval = 37.3 ± (2.33 * (7.82 / sqrt(98)))

Calculating the values, we get a confidence interval of (35.140, 39.460).