Answered: Jim Mead is a veterinarian who visits a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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Question

Jim Mead is a veterinarian who visits a Vermont farm to examine prize bulls. In order to examine a bull, Jim first gives the animal a tranquilizer shot. The effect of the shot is supposed to last an average of 65 minutes, and it usually does. However, Jim sometimes gets chased out of the pasture by a bull that recovers too soon, and other times he becomes worried about prize bulls that take too long to recover. By reading journals, Jim has found that the tranquilizer should have a mean duration time of 65 minutes, with a standard deviation of 15 minutes. A random sample of 11 of Jim's bulls had a mean tranquilized duration time of close to 65 minutes but a standard deviation of 26 minutes. At the 1% level of significance, is Jim justified in the claim that the variance is larger than that stated in his journal? Find a 95% confidence interval for the population standard deviation.

Find the value of the chi-square statistic for the sample

Find or estimate the P-value of the sample test statistic.

P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005

Find the requested confidence interval for the population standard deviation.

Expert Solution

Step 1

Solution:

Given information:

$n = 11 S a m p l e s i z e x = 65 S a m p l e m e a n s = 26 S a m p l e s \tan d a r d d e v i a t i o n μ = 65 P o p u l a t i o n m e a n σ = 15 P o p u l a t i o n s \tan d a r d d e v i a t i o n α = 0.01 L e v e l o f s i g n i f i c a n c e$