Question

You measure 32 randomly selected textbooks' weights, and find they have a mean weight,of 78'ounces.

Assume the population standard deviation is 11.7 ounces. Based on this, construct a 95% confidence
interval for the true population mean textbook weight.

Answer 1

To construct a 95% confidence interval for the true population mean textbook weight, use the formula: Confidence Interval = sample mean ± (critical value * standard deviation / square root of sample size). The confidence interval for this problem is approximately (73.98, 82.02).

Step-by-step explanation:

To construct a 95% confidence interval for the true population mean textbook weight, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard deviation / square root of sample size)

In this case, the sample mean is 78 ounces, the population standard deviation is 11.7 ounces, and the sample size is 32. The critical value for a 95% confidence level is 1.96 (from the standard normal distribution).

Plugging these values into the formula, we get:

Confidence Interval = 78 ± (1.96 * 11.7 / sqrt(32))

Simplifying, we find the confidence interval to be approximately:

Confidence Interval = (73.98, 82.02)