g) What type of error, and why, might be being made with the conclusion of this test ?h) A95% confidence interval for the population characteristic of interest is (125.866,128.534).What is the value of t ?Does the conclusion of the hypothesis test concur with the result of the hypothesis test ?Provide rationale for your answer. Regulations require that product labels on containers of food that are available for sale to the publicaccurately state the amount of food in those containers. Specifically, if milk containers are labeled to have128 fluid ounces and the mean number of fluid ounces of milk in the containers is at least 128, the milkprocessor is considered to be in compliance with the regulations. The filling machines can be set to thelabeled amount. Variability in the filling process causes the actual contents of milk containers to be normallydistributed. A random sample of 12 containers of milk was drawn from the milk processing line in a plant, andthe amount of milk in each container was recorded. The sample mean and sample standard deviation of thissample of 12 containers of milk were 127.2 ounces and 2.1 ounces, respectively. Suppose a hypothesis test isgoing to be done to determine whether the packaging plant is not in compliance with the regulations?a) What is the name of the hypothesis test that should be done ?b) What hypotheses should be tested ?c) What are type 1 and type 2 errors in context ?d) What are consequences of each error type in context ?e) Suppose that are conditions and assumptions necessary to run a hypothesis test for thisscenario are in place. What is the value of the test statistic ? SHOW all work.f) The p-value for this test is 0.1069. What conclusion should be made ?Is this result considered statistically significant ?

A) the name of the hypothesis test to be used is T test for testing the mean B) H0: μ = 128…

Answered: a) What is the name of the hypothesis…

a) What is the name of the hypothesis test that should be done ? b) What hypotheses should be tested ? c) What are type 1 and type 2 errors in context ?

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

g) What type of error, and why, might be being made with the conclusion of this test ?
h) A95% confidence interval for the population characteristic of interest is (125.866,128.534).
What is the value of t ?
Does the conclusion of the hypothesis test concur with the result of the hypothesis test ?
Provide rationale for your answer.

Regulations require that product labels on containers of food that are available for sale to the public
accurately state the amount of food in those containers. Specifically, if milk containers are labeled to have
128 fluid ounces and the mean number of fluid ounces of milk in the containers is at least 128, the milk
processor is considered to be in compliance with the regulations. The filling machines can be set to the
labeled amount. Variability in the filling process causes the actual contents of milk containers to be normally
distributed. A random sample of 12 containers of milk was drawn from the milk processing line in a plant, and
the amount of milk in each container was recorded. The sample mean and sample standard deviation of this
sample of 12 containers of milk were 127.2 ounces and 2.1 ounces, respectively. Suppose a hypothesis test is
going to be done to determine whether the packaging plant is not in compliance with the regulations?
a) What is the name of the hypothesis test that should be done ?
b) What hypotheses should be tested ?
c) What are type 1 and type 2 errors in context ?
d) What are consequences of each error type in context ?
e) Suppose that are conditions and assumptions necessary to run a hypothesis test for this
scenario are in place. What is the value of the test statistic ? SHOW all work.
f) The p-value for this test is 0.1069. What conclusion should be made ?
Is this result considered statistically significant ?

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