QuestionQuestion 1 0/1 pt 2 4
You measure 35 randomly selected textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, construct a $90 \%$ confidence $90 \%$ interval for the true population mean textbook weight.
Give your answers as decimals, to two places $$S=35$$ < $\mu<$ $\qquad$

Studdy Solution
Construct the confidence interval using the formula:
$$\bar{x} \pm \text{ME}$$
Substitute the known values:
$$73 \pm 3.642$$
Calculate the confidence interval:
Lower bound: $73 - 3.642 = 69.36$
Upper bound: $73 + 3.642 = 76.64$
The $90\%$ confidence interval for the true population mean textbook weight is:
$$69.36 < \mu < 76.64$$