Most soft drink beverages are packaged and sold in 12-ounce cans. You want to test to see howaccurate the companies package these cans, so you take a sample of Coke cans and a sample ofPepsi cans and measure the amount of soda in each can.You wish to test the claim that the mean amount of liquid in Coke cans is less than the meanamount of liquid in Pepsi cans at a significance level of a = 0.05.a) Choose the correct null and alternative hypotheses.Ho: 12Ha:μι>μεO Ho: 1-2Ha: 1*2O Ho: 122Ha:μι<μ2Both populations are normally distributed, with cans of Coke having a population standarddeviation of 0.065 and cans of Pepsi having a population standard deviations of 0.071. Your sampleof 52 cans of Coke gave a mean of 12.01 ounces, while your sample of 51 cans of Pepsi gave amean of 12.1 ounces.b) What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =c) What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = d) The p-value is...O less than (or equal to) aO greater than ae) This test statistic leads to a decision to...O fail to reject the nullO reject the nullO accept the nullf) As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the claim that the meanamount of liquid in Coke cans is less than the mean amount of liquid in Pepsi.cans.O The sample data supports the claim that the mean amount of liquid in Coke cans is less thanthe mean amount of liquid in Pepsi cans.There is not sufficient evidence to warrant rejection of the claim that the mean amount ofliquid in Coke cans is less than the mean amount of liquid in Pepsi cans.There is not sufficient sample evidence to support the claim that the mean amount of liquid inCoke cans is less than the mean amount of liquid in Pepsi cans.

The given claim is that the mean amount of liquid in coke cansμ1 is less than the mean amount of…

Answered: Most soft drink beverages are packaged…

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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Similar questions

Listed below are the lead concentrations in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Use a significance level to test the claim that the mean lead concentration for all such medicines is less than 14. 3.0,6.5,6.0,5.5,20.5,7.5,12.0,20.5,11.5,17.5
A chemist measures the haptoglobin concentrations (in grams per liter) in the blood of eight healthy adults. Following are the values: 1.82 3.32 1.07 1.27 0.49 3.79 0.15 1.98 At the 2% significance level, test the claim that the mean haptoglobin concentration in adults is less than two grams per liter. What type of error could you have made in your decision?
The mean price of a cup of coffee in Portland, OR is $3.94. The owner of a new coffee house believes that the mean price of coffee is different in their neighborhood. A sample of 8 coffee prices from other local coffee shops in their area are shown below. Price 4.2 2.15 3.35 3.5 2.25 2.4 3.9 3.4 Test the claim that mean price of a cup of coffee is not equal to $3.94 using a 5% level of significance. Assume that the coffee prices are normally distributed. Give answers to at least 2 decimal places. a) Fill in the hypotheses below: H0: H1: b) The p-value is 0.0234. The correct decision is to: The correct summary would be: sufficient, insufficient or not enough evidence to reject the claim
f.
According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, u, is now less than 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 27.2 kilometers. Assume the population standard deviation is 9.9 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hYpothesis H,. O
p = proportion of students who drop out due to lack of economic resources A sociologist thinks that in his country the percentage of students who drop out due to lack of economic resources is different from 40%. He takes a sample of 70 student dropouts and finds that 37 of them dropped out due to lack of financial resources.Can the sociologist, with a significance level of 0.05, consider that the percentage of students who drop out due to lack of economic resources is different from 40%? Choose 1. The correct conclusion2. The correct interpretationSelect one:to)1. H0 is rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongb)1. H0 is not rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongc)1.…
A researcher wanted to examine the hypothesis that the proportion of obese individuals among those without diabetes exceeds 35%. To investigate this, she gathered a random sample of 1000 diabetes-free individuals and determined that 360 of them are obese. i. State the hypothesis statements. ii. Perform the hypothesis test. What can she conclude at a significance level of a = 0.05?
A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?
please answer the first 3 and explain the reason for the answer.

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