Asimple random sample of size n is drawn from a population that is normally distributed. the sample mean, x overbar, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) construct a 96% confidence interval about mu if the sample size, n, is 16. (b) construct a 96% confidence interval about mu if the sample size, n, is 21. (c) construct a 98% confidence interval about mu if the sample size, n, is 16. (d) could we have computed the confidence intervals in parts () if the population had not been normally distributed?

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.