find the value of t such that the area under the curve between -t and t equals 0.98. Assume the degrees of freedom equals 5

Look at this t-distribution table.

The very bottom row where it says confidence level C is really the probability that C lies between -t and t (or so says the description at top). So we want the column above 98% and the row for df = 5.

The value of t is 3.365

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