Answer:
Step-by-step explanation:
We have a sample of size n = 35, and
. As we want to construct a 95% confidence interval to estimate the value of the true population mean
, we should use the pivotal quantity given by
which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value
, i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that
because of the simmetry of the t distribution.