Question

It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 73.6 pounds with a standard deviation of 15.1 pounds. Test the breeder's claim at a = 0.01. Part a: State the null and alternate hypothesis. Part b: Sketch, label and shade the rejection region. Part c: Determine the test statistic. Part d: Compute the p-value. Part e: Give your decision about this test. Write a conclusion in context of this problem.

Answer 1

Solution Past- a Null Hyothes : The mean we it Labsadox eteve 70 Poundg Altesnalt ve Hy botheais The absadox mean Cwe iohl ob not etsie va e pul 70 시 구0. Past- b Acce bt sejekan ejecdon 70 - 258 2.s8 CS CamScanner Scanned with O

Past - c above Test Stalstei 9uen Stakishea est the N Co. Hese Populafion mean = 70 3-6 Sample mean 5.D Sie Sample ndes Ho 73.6-70 \S.Js 3 6 2-25 atpao ob Vale The Galculafrd cs Scanned with CamScanner b

Paxt -d O lo96 The Valke Past -e esul mot Stonibi camk P< o.o1. at Scanned with CS CamScanner
Here the z calculated value is less than the z critical value.

So may accept the null hypothesis.

Hence the average weight of Labrador retriever is equal to 70 pounds.