Question 5 of 24 View Policies Current Attempt in Progress Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find the area in a t-distribution above 2.3 if the sample has size $n=6$. Round your answer to three decimal places. \[ \text { area }= \] eTextbook and Media Save for Later Attempts: 0 of 3 used Submit Ans

Step 1 ：Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. We are asked to find the area in a t-distribution above 2.3 if the sample has size $n=6$.

Step 2 ：We need to use the survival function, which is 1 - CDF, to calculate the probability of a t-score being greater than 2.3. The degrees of freedom is 5, as it is calculated by subtracting 1 from the sample size.

Step 3 ：Using the survival function with a t-score of 2.3 and degrees of freedom of 5, we find the area under the curve above the t-score.

Step 4 ：Rounding the result to three decimal places, we get an area of 0.035.

Step 5 ：Final Answer: The area in a t-distribution above 2.3 if the sample has size $n=6$ is \(\boxed{0.035}\).