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# (Solved) MATH225 Week 6 Assignment Point Estimates, Margins of Error, and Confidence Intervals

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QuestionÂ Â Â Â Â Â Â Â Â Â Â

Randomly sampled employees at an officeÂ were asked to take part in a survey about overtime.Â The office manager wanted to find out how many employees worked overtime in the last week. The proportion of employees that worked overtimeÂ wasÂ 0.83, with a margin of error ofÂ 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.Â SheÂ wanted to find out how many production lines caused defects in newly produced automobiles. The proportion of production lines that caused defects wasÂ 0.08, with a margin of error ofÂ 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 wasÂ xÂ¯=36Â inchesÂ with a margin of error ofÂ 9Â 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 wasÂ xÂ¯=31Â ounces, with a margin of error ofÂ 3Â ounces.

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

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