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An endocrinologist is interested in the effects of depression on the thyroid. It is believed that...

An endocrinologist is interested in the effects of depression on the thyroid. It is believed that healthy subjects have a mean thyroxin (a hormone related to thyroid function) level of 7.0 micrograms/100 ml and a standard deviation of 1.6 micrograms/100 ml. The endocrinologist wants to assess whether the mean thyroxin level is different for those with depression. She samples 35 subjects with depression and obtains a sample mean of 7.82 micrograms/100 ml for thyroxin. What is the value of the test statistic for testing H0: μ = 7?

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Answer #1

Test statistics

z = ( - ) / ( / sqrt(n) )

= (7.82 - 7) / (1.6 / sqrt(35))

= 3.03

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