**Sample Hypothesis Testing Using Cereal Sugar Content**A simple random sample of 17 different cereals is obtained. The sugar content (in grams of sugar per gram of cereal) is measured for each selected cereal. These amounts have a mean of 0.292 grams and a standard deviation of 0.167 grams. We use a 0.05 significance level to test a cereal lobbyist's claim that the mean sugar content for all cereals is less than 0.31 grams.**Formulate the Null and Alternative Hypotheses**Select the correct answer:- A. $ H_0: \mu = 0.31 $ $ H_a: \mu \neq 0.31 $- B. $ H_0: \mu = 0.31 $ $ H_a: \mu > 0.31 $- C. $ H_0: \mu = 0.31 $ $ H_a: \mu < 0.31 $ ← Correct- D. $ H_0: \mu < 0.31 $ $ H_a: \mu = 0.31 $**Find the Test Statistic**Calculate the test statistic $ t $ and round to three decimal places as needed.\[ t = \_\_ \]This exercise aims to test whether the mean sugar content in cereals is statistically less than 0.31 grams based on the sample data provided. The hypothesis testing framework involves comparing the calculated test statistic to critical values derived from a t-distribution given the sample size and significance level.

Answered: Image /qna-images/answer/8b0a6b00-3858-43b2-a1d1-e07430561248.jpg

Answered: A simple random sample of 17 different…

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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