It is traditionally believed in the literature on bird migration that godwits that migrate between Alaska and New Zealand travel a mean distance of 11,355 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 28 randomly chosen godwits that migrated between Alaska and New Zealand. The birds traveled a sample mean distance of 11,305 km non-stop with a sample standard deviation of 265 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 H, the mean distance godwits travel non-stop between Alaska and New Zealand, is now less than 11,355 km.
State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.