In a randomized, double-blind experiment, 160 babies were randomly divided into a treatment group \((n_1 = 80)\) and a control group \((n_2 = 80)\). After the study, the treatment group had a mean serum retinol concentration of 41.73 micrograms per deciliter \((\mu g/dL)\) with a standard deviation of 16.89 \(\mu g/dL\), while the control group had a mean serum retinol concentration of 11.85 \(\mu g/dL\) with a standard deviation of 10.71 \(\mu g/dL\). Does the treatment group have a higher standard deviation for serum retinol concentration than the control group at the \(\alpha = 0.05\) level of significance? It is known that serum retinol concentration is normally distributed. Use the P-value approach to perform the test.---Let \(\sigma_1\) represent the population standard deviation for the treatment group and \(\sigma_2\) represent the population standard deviation for the control group. State the null and alternative hypotheses for this test.- \(H_0: \sigma_1 = \sigma_2\)- \(H_1: \sigma_1 > \sigma_2\)Use technology to find the P-value for this test.The P-value is \(\_\_\_\_\) (Round to three decimal places as needed.)

Given n1=n2=80 S1=16.89, S2=10.71

Answered: to a treatment group (n₁=80) and a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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