Part 1

It is traditionally believed in the literature on bird migration that godwits that migrate between Alaska and New Zealand travel a mean distance of 11,475 km non-stop. The past several years, more godwits than usual have been observed breeding in the southernmost regions of Alaska. Because of this, a researcher claims the godwits are now traveling a shorter mean distance non-stop. To test this claim, he studied 23 randomly chosen godwits that migrated between Alaska and New Zealand. The birds traveled a sample mean distance of 11,325 km non-stop with a sample standard deviation of 325 km. Assume that the population of distances traveled non-stop between Alaska and New Zealand by godwits is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support that /, the mean distance godwits travel non-stop between Alaska and New Zealand, is now less than 11,475 km. (a) State the null hypothesis H, and the alternative hypothesis //, that you would use for the test. X P Ho: 0 H : 020 0-0 0+0 X ? (b) Perform a hypothesis test. The test statistic has a f distribution (so the test is a "t test"). Here is some other information to help you with your test. . 10.10 is the value that cuts off an area of 0.10 in the right tail. x-H . The value of the test statistic is given by f = S