You are given a sample consisting of 80 data points with a sample mean =30 and s

Question

You are given a sample consisting of 80 data points with a sample mean =30 and standard error of the mean =3.6

          tstatistic                                                                                       interval

98%           2.374481597                                        21.45186625                         38.54813375

99%           2.639504627                                         20.49778334                          39.50221666

Is this right or wrong? If wrong what did I do wrong?

Explanation / Answer

Solution: It is given that,

mean=30 , n=80 , standard error of mean=3.6

Both the intervals are calculated wrong.

You did put tstatistic instead of t-critical value for 98% confidence intervale alpha =0.02 and 99% confidence interval alpha=0.01.

If you put t-critical value which is calculated from table or system then you will get the correct answer.

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