z-score vs t-score

jordan

reference: final exam review problem #5 part (d)

I know a t-score should be solved for when working with <30 data. But is the formula different than the z-score formula?

I know its df:3 and two-tailed with 95% confidence, so cut off should be 3.18

mark

@jordan said:
reference: final exam review problem #5 part (d)

I know a t-score should be solved for when working with <30 data. But is the formula different than the z-score formula?

No, the formula for computing the test statistic for one sample mean or one sample proportion, no matter the sample size. The only difference is which distribution you end up comparing it to - the normal distribution or the $t$-distribution.