Vitamin B6 is one of the vitamins in a multiple vitamin pill manufactured by a phar-maceutical company. The pills are produced with a mean of 50 mg of vitamin B6 per pill.The company believes that there is a deterioration of 1 mg/month, so that after 4 monthsit expects that µ = 46. A consumer group suspects that < 46 after 4 months. Assume theamount of vitamin B6 per pill is normally distributed with unknown variance.: µ(i) Define a test for Ho = 46 against H₁ μ< 46 at a significance level a = 0.01 based: µon a random sample of size n.(ii) If a sample of 20 pills yielded a mean of x = 45.88 with a (sample) standard deviation ofs = 0.17, what is the conclusion based on your test defined in part (i)? Also, computethe associated p-value.(iii) Find the smallest significance level a under which we can reject Ho based on the datagiven in part (ii). Does it equal to the p-value found in part (ii)? Explain why.

When the population standard deviation is not known then we use a t-test for hypothesis testing.

Answered: Vitamin B6 is one of the vitamins in a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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I want to solve this. Help me plz.

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