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# Hypothesis test regarding a standard deviation

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The annual temperature of a city is obtained by finding the mean of the mean temperatures on the 15th day of each month. The standard deviation of the annual temperatures of the city of a period of 100 years was 16 degrees Fahrenheit. During the last 15 years a standard deviation of annual temperatures was computed as 10 degrees Fahrenheit. Test the hypothesis that the temperatures in the city have become less variable than in the past, using a significance level of (a) 0.05 (b) 0.01.

##### Solution Summary

This problem is a test of hypothesis comparing the variance (and standard deviation) of a new distribution with a known variance from another distribution. A step by step process is used, all formulas and calculations are shown and each step is explained.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### 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.