Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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 13 blue crabs from Location A contain a mean of 199 milligrams of fish and a standard deviation of 39 milligrams. The stomach contents of a sample of 9 blue crabs from Location B contain a mean of 189 milligrams of fish and a standard deviation of 44 milligrams. At alpha equals 0.01, can you support the​ researcher's claim? Assume the population variances are equal.

Required:
a. Identify the null and alternative hypotheses. Choose the correct answer below.
b. Find the standardized test statistic for ​(Round to three decimal places as​ needed.)
t=
c. Calculate the​ P-value.

Sagot :

Well I assume you have a TI-84 or something

a)  null is  μa = μb

alternate is  μa > μb

where μa = the true mean number of fish contrained in the stomach of blue crabs in location A

μb = the true mean number of fish contrained in the stomach of blue crabs in location B×

B) this is a 2 sample t-test

t= (xa-xb)/ [tex]\sqrt{s1^{2} /n1+ s2^{2} /n2}[/tex] so you find the t value and look up on the T- table

or you use your calculator

t= 0.549 ⇒ p= 0.295

since out p value of 0.295 is greater than our alpha level of 0.01, we have no evidence to conclude that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B.

you also might want to check the assumptions.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.