Answer to Question #338551 in Statistics and Probability for jhen

Question

the editor of publishing company claims that the mean time to write a novel is 16 months.Forty randomly selected authors of novel said it is more than 16 months.Each of them said it take 18 months to write a novel.Provide the parameter,hopotheses and type of test

Answer 1

Parameter: Population Mean $\mu$

Population Standard Deviation $\sigma$

Sample Size $n=40$

Sample Mean $\bar{x}=18$

The following null and alternative hypotheses need to be tested:

$H_0:\mu\le 16$

$H_a:\mu>16$

This corresponds to a right-tailed test, for which a z-test for one mean, with known population standard deviation will be used.