Solution:
We have to obtain critical t value one tailed (upper tail) for a sample of size 30 at 99% confidence level.
If sample size is 30, then degrees of freedom = (30 - 1) = 29.
Confidence level = 99% = 0.99
Hence, significance level = (1- 0.99) = 0.01
Using t table, we can get critical t value (upper tailed) at 0.01 significance level and 29 degrees of freedom, which will be as follows:
t = t(0.01, 29) = 2.46 (upper tailed)
Hence, 1st option is correct.
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