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 17 blue crabs from Location A contain a mean of 197 milligrams of fish and a standard deviation of 39 milligrams. The stomach contents of a sample of 7 blue crabs from Location B contain a mean of 187 milligrams of fish and a standard deviation of 43 milligrams. At α=0.10 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) Find the P Value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
17
blue crabs from Location A contain a mean of
197
milligrams of fish and a standard deviation of
39
milligrams. The stomach contents of a sample of
7
blue crabs from Location B contain a mean of
187
milligrams of fish and a standard deviation of
43
milligrams. At
α=0.10
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) Find the P Value
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