Question

A researcher measures mean health scores of children at a local school and compares these scores to the mean health score known in the general population. Assuming that the population variance is unknown, what type of t test is appropriate for this study? a.one-sample t test b.two-independent sample t test c.There is not enough information to answer this question.

Answer 1

b. two-independent sample t test

Explanation:

the question stated that the variance is unknown, and standard deviation is paramount for a t test calculation.

the t-value is determined from the relationship

t = (x−µ) s
`√((N-1))`

where x is the mean value of a sample, µ is the mean value of the population from which the sample is drawn,

s is the standard deviation of the sample and

N is the number of independent observations in the sample.

therefore, for independent sample t test, the variance can be calculated from the values of the two mean given with the sample size.