Question

• There is a new medication for diabetes, fifteen participants take the medication for fifteen days. The average blood glucose before taking the medication was 155 (population mean). The average blood glucose after taking the medication is 110. The standard deviation for the average glucose after taking the medication is 4.6. You want to evaluate if there is statistical evidence that there is a reduction in the mean glucose after taking the medication for 15 days. You must conduct a t-test. What is the t-statistic? (Remember this is not the p-value but the value of t.)

Answer 1

Solution :

Given that,

Population mean = = 155

Sample mean = = 110

Sample standard deviation = s = 4.6

Sample size = n = 15

The test statistics,

t = ( - )/ (s/)

= ( 110 - 155 ) /(4.6 /15)

= -37.888

The test statistic is -37.888