Question

In: Statistics and Probability

The annual salaries​ (in dollars) of 14 randomly chosen fire fighters are listed. At α=0.05, is...

The annual salaries​ (in dollars) of 14 randomly chosen fire fighters are listed. At α=0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from ​$5700 Assume the population is normally distributed.

50,774 40,957 52,422 46,539 41,745 40,196 51,035

52,103. 43,862 34,870 35,087 28,218 32,662 37,916

Find the standardized test statistic for the chiχsquared2​-test

Solutions

Expert Solution

We will find the standard deviation of the sample. Define the null and alternative hypothesis according to the mentioned claim. Find the critical value from the critical value table of chi-square. Make a conclusion from the test statistics and critical value.


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