# Sample Mean, Standard Deviation, Alpha

Not what you're looking for?

Subject: sample mean/standard deviation/alpha

Details: An insurance company asserts that the mean amount paid for personal injury claims resulting from automobile accidents is $18,500. An actuary wants to check the accuracy of this assertion and is allowed to randomly sample 36 cases involving personal injury. The sample mean is $19,415, and past years' data indicates a standard deviation of $2,600. Test the company's claim with alpha=0.05.

=======

Subject: Formulate a null and an alternative hypothesis, for these situations.

Details: 1)The population mean IQ is 100. A psychologist wants to test the hypothesis that the mean IQ for alcoholics is different than 100.

2)An industrial engineer wants to test the hypothesis that the mean length of the steel beams being manufactured is 3.2 meters.

3)Last year the mean sales per week in a department store were $85,492. A manager wants to test the hypothesis that the weekly sales this year will be more.

##### Purchase this Solution

##### Solution Summary

Subject: sample mean/standard deviation/alpha

Details: An insurance company asserts that the mean amount paid for personal injury claims resulting from automobile accidents is $18,500. An actuary wants to check the accuracy of this assertion and is allowed to randomly sample 36 cases involving personal injury. The sample mean is $19,415, and past years' data indicates a standard deviation of $2,600. Test the company's claim with alpha=0.05.

=======

Subject: Formulate a null and an alternative hypothesis, for these situations.

Details: 1)The population mean IQ is 100. A psychologist wants to test the hypothesis that the mean IQ for alcoholics is different than 100.

2)An industrial engineer wants to test the hypothesis that the mean length of the steel beams being manufactured is 3.2 meters.

3)Last year the mean sales per week in a department store were $85,492. A manager wants to test the hypothesis that the weekly sales this year will be more.

##### Solution Preview

1

<br>Ho: M=18500

<br>Ha: M≠18500

<br>Calculate SE = SD/SQRT(N) = 2600/ SQRT(36) = 433.33

<br>Calculate t=(X-M)//SE = (19,415-18,500)/433.33= 2.11

<br>From a t-table, the two tailed 0.05 critical t value with df=35 is t*=2.02

<br>Since the calculated t > t*, we ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### 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.

##### Measures of Central Tendency

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