# Given a data set find various probabilities and construct confidence intervals.

Not what you're looking for?

The average weekly earnings for women in managerial and professional positions is $685 with a standard deviation of $45. Salaries are normally distributed. Answer the following questions.

a. What is the probability that a woman will have a weekly salary of more than $650?

b. What is the probability that a woman will have a weekly salary of at least $800?

c. For the population, in what range does the middle 95% of weekly salaries lie?

d. If a new sample of 40 women is selected, what is the probability that the mean weekly salary will be between $670 and $705?

e. If new samples of 50 families are selected, what weekly salary to the nearest dollar marks the top 10% of the means of these new samples?

f. If new samples of 100 women are selected, what range of weekly salaries to the nearest dollar marks the 98% confidence interval?

##### Purchase this Solution

##### Solution Summary

The following outlines the process of computing various probabilities associated with a particular distribution. Confidence intervals are constructed as well.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.