## Statistical Analysis of Soda Drink Volumes### Context:Workers at a soda drink factory collected data on the volumes (in ounces) from a simple random sample of 21 cans of soda. The measured volumes had a mean of 12.19 oz and a standard deviation of 0.14 oz. It is assumed that the data follows a normal distribution. ### Objective:To test the claim that the population standard deviation of soda volumes is less than 0.15 oz. The hypothesis test will be conducted at a 0.01 significance level.### Tasks:Complete parts (a) through (d) below.#### a. Identify the null and alternative hypotheses. Choose the correct option below:- **A.** $ H_0: \sigma \ge 0.15 \, \text{oz} $ & $ H_1: \sigma < 0.15 \, \text{oz} $- **B.** $ H_0: \sigma > 0.15 \, \text{oz} $ & $ H_1: \sigma = 0.15 \, \text{oz} $- **C.** $ H_0: \sigma = 0.15 \, \text{oz} $ & $ H_1: \sigma < 0.15 \, \text{oz} $- **D.** $ H_0: \sigma = 0.15 \, \text{oz} $ & $ H_1: \sigma \neq 0.15 \, \text{oz} $#### b. Compute the test statistic ($\chi^2$):\[ \boxed{} \](Round to three decimal places as needed.)#### c. Find the P-value:P-value = \[ \boxed{} \](Round to four decimal places as needed.)#### d. Conclusion:Based on calculated values, draw a conclusion about the claim.### Reminder:Ensure calculations are precise, especially when rounding, as results affect hypothesis testing.### Timer:Ensure to complete this task within the allocated 15:21 minutes.

Solution-: Given: σ0=0.15oz,n=21,s=0.14,oz,x¯=12.19oz,α=0.01 Our aim to find, (a) Hypothesis (b)…

Answered: Workers at a certain soda drink factory…

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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