Question

Find the proportion in the t-distribution above 1.7 if theFind the proportion in the t-distribution above 1.7 if the

samples have sizes 1=8 and 2=11 . Assume the samples are randomsamples from distributions that are reasonably normally
distributed.
a) The proportion is 0.060.

b) The proportion is 0.094.

c) The proportion is 0.066.

d) The proportion is 0.047.

Answer 1

To find the proportion in the t-distribution above 1.7, we need to calculate the p-value. The closest proportion to the calculated p-value is 0.060.

Step-by-step explanation:

To find the proportion in the t-distribution above 1.7, we need to calculate the p-value. The p-value represents the probability of observing a t-value greater than 1.7, given the degrees of freedom. In this case, the degrees of freedom are calculated as the sum of the sample sizes minus 2, which gives us df = 8 + 11 - 2 = 17.

Using the t-distribution table or calculator, we can find the p-value corresponding to a t-value of 1.7 with 17 degrees of freedom. Based on the given answer choices, the closest proportion to the calculated p-value is 0.060, which would be option (a).