# (Answered)MATH225N Week 6 Assignment: Point Estimates, Margins of Error, and Confidence Intervals

Question

Randomly sampled employees at an office were asked to take part in a survey about overtime. The office manager wanted to find out how many employees worked overtime in the last week. The proportion of employees that worked overtime was 0.83, with a margin of error of 0.11.

Construct a confidence interval for the proportion of employees that worked overtime in the last week

Question

A production manager randomly sampled production lines at a factory that produces automobiles. She wanted to find out how many production lines caused defects in newly produced automobiles. The proportion of production lines that caused defects was 0.08, with a margin of error of 0.01.

Construct a confidence interval for the proportion of production lines that caused defects.

## Question

A marine biologist is interested in whether the Chinook salmon, a particular species of salmon in the Pacific Northwest, are getting smaller within the last decade. In a random sample of this species of salmon, she found the mean length was x¯=36 inches with a margin of error of 9 inches.

Construct a confidence interval for the mean length of Chinook salmon.

## Question

A company sells juice in one-quart bottles. In a quality control test, the company found the mean volume of juice in a random sample of bottles was x¯=31 ounces, with a margin of error of 3 ounces.

Construct a confidence interval for the mean number of ounces of juice bottled by this company.

## Solution:

Question

Randomly sampled employees at an office were asked to take part in a survey about overtime. The office manager wanted to find out how many employees worked overtime in the last week. The proportion of employees that worked overtime was 0.83, with a margin of error of 0.11.

Construct a confidence interval for the proportion of employees that worked overtime in the last week.