A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 14 blue crabs from Location A contain a mean of 180 milligrams of fish and a standard deviation of 36 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 175 milligrams of fish and a standard deviation of 42 milligrams. At α = 0.05, can you support the researcher’s claim? Assume the population variances are equal. Complete parts (a) through (d) below.
(a) Identify the null and alternative hypotheses. Choose the correct answer below. (b) Find the standardized test statistic for μ1 – μ2. t = ___ (Round to three decimal places as needed.) (c) Calculate the P-value. P = ___ (Round…