In: Statistics and Probability
34. Standards for a certain panic disorder state that people who have more than μ = 2 panic attacks in a six month period qualify for a diagnosis of severe panic disorder. People with fewer than 2 panic attacks in this period would not meet the criteria for this particular diagnosis. Researchers hypothesize that work in high stress jobs may affect the incidence of panic attacks. They collect a sample of n = 61 employees from high stress jobs and find that on average this sample had x̅ = 2.6 panic attacks in the last six months, with a sample variance of S-squared = 4.
Determine the appropriate t test to use, with alpha at .05 and determine whether there is evidence that workers in high stress jobs are experiencing significantly more or less panic attacks than the clinical standard given for severe panic disorder.
What is Sample T value, T critical values, upper and lower values of 95 percent CI around sample mean, What do we conclude
The null and alternative hypothesis is ,
The test is two-tailed test.
The sample T value is ,
The T critical values are ,
; From t-table
Decision ; Here , the vaue of the test statistic lies in the rejection region.
Therefore , reject Ho.
Conclusion : Hence , there is sufficient evidence to support the claim that the workers in high stress jobs are experiencing significantly more or less panic attacks than the clinical standard given for severe panic disorder.
The 95% confidence intervalis ,
Here , the value 2 does not lies in the confidence interval.
Therefore , reject Ho.
Conclusion : Hence , there is sufficient evidence to support the claim that the workers in high stress jobs are experiencing significantly more or less panic attacks than the clinical standard given for severe panic disorder.