We make decisions every day. In making decision, we usually follow certain processes andthen make an appropriate interpretation or choice. This is the essence when we conducthypothesis testing to validate our claim and make a better decision in life. As a wise Columbanite,choose a problem in your community that you can use the process of hypothesis testing. Make ascenario out of it using all the data needed in hypothesis testing, then cite your claim about thisproblem. Use samples that are less than 30. Lastly test your claim if it is true. Show your step bystep process in conducting hypothesis testing based on what you learned on this module. Keepyour data, it might be needed in the future lesson. Type of Assessment: Performance TaskTarget MELCS: Solves problems involving test of hypotheses on the population mearIdentifies the appropriate form of the test-statistic when; appropriate rejection region for a givenlevel of significance; computes for the test-statistic value (population mean; draws conclusion abouthe population mean based on the test-statistic value and the rejection region: (B) the populationvariance is assumed to be Unknown.

Answered: Image /qna-images/answer/20928323-6fb6-44a3-ab14-430b23ad4112.jpg

Answered: Target MELCS: Solves problems involving…

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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In the macro relation between GDP and FDI, Dr Mudenda obtained the following valuesfrom a Stata output: FDI coefficient of 0.45; t-statistic of 3; and covariance (GDP, FDI)value of 0.41. In literature, this relationship between GDP and FDI has generally beenestablished to be statistically significant. Answer the following questions:i) Calculate the variance of the FDI variable and explain its implicationii) Use the confidence interval approach to test whether FDI’s influence on GDP isstatically significant or not in Dr Mudenda’s study. Use 5% level which gives 1.96critical values.iii) What is the expected value of the p-values for studies that have been conductedin literature?
Two types of flares are tested and their burning times (in minutes) are recorded. Summary statistics are given below.Brand Xn=35x = 19.4 mins = 1.4 min Brand Yn=40x = 15.1 mins = 0.8 min Use a 0.08 significance level to test the claim that the two samples are from populations with the same mean. Use the traditional method or the P Value method of hypothesis testing.
A milk processing company test implemented a plant-wide energy conservation program with a goal of reducing the mean daily consumption rate of at least 1,000 kWh from its normal operating plants. The conservation program was implemented in Plant B. The following data was collected on weekdays where consumption level is at its peak. Were the conservation efforts effective in achieving its goal? Compare the results with Plant A’s data where the program is not implemented using � = 0.05. Assume that the population variances are not equal.Plant A (kWh) Plant B (kWh)3,952.80 4,036.003,276.00 4,036.003,636.00 4,036.003,636.00 3,264.003,636.00 864.003,636.00 1,368.004,068.00 2,196.004,068.00 4,392.004,362.00 5,220.004,362.00 3,600.004,362.00 3,960.004,362.00 4,428.003,882.00 756.003,808.80 612.003,808.80 684.00
A milk processing company test implemented a plant-wide energy conservation program with a goal of reducing the mean daily consumption rate of at least 1,000 kWh from its normal operating plants. The conservation program was implemented in Plant B. The following data was collected on weekdays where consumption level is at its peak. Were the conservation efforts effective in achieving its goal? Compare the results with Plant A’s data where the program is not implemented using α= 0.05. Assume that the population variances are not equal.
1. If the F-value is smaller than the critical values in the F-table, which statement is NOT TRUE? a. The Tukey Method is no longer necessary. b. The Tukey Method will reveal overlapping clusters. c. The Tukey Method will reveal only one cluster for all the means. d. The independent variable does not influence the dependent variable. 2. In a correlated design (for ANOVA), which part of the variance is removed from F? a. Variance Between b. Variance Within c. Variance due to fluctuations or chance factors d. Variance due to pre-existing individual differences 3. One advantage of a correlated-groups design is that the effects of ---- have been removed. a. Individual differences b. Experimenter effects c. Subject bias effects d. Measurement error
If a sample is an extreme result and is significant, it will fall in the critical region which indicates a sample mean of that magnitude is unlikely if the null hypothesis is true. True or false?
In building an arena, steel bars with a mean ultimate tensile strength of 400Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The projectengineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa.The decision for the extension of the contract with the manufacturer depends on the engineer.Test the hypothesis whether or not there is no significant difference between the two meansusing a two-tailed test with a = 0.01.
In building an arena , steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa ) with a variance of 81 MPa were delivered by the manufacturer . The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa The decision for the extension of the contract with the manufacture depends on the engineer . Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with a = 0.01 1. What are the appropriate hypotheses for the two tailed test ? 2. What is the test statistic to be used and the reasons for its selection ? 3. What is the critical value c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation
A two-sample study for the difference between two population means will utilize t-test procedures and is to be done at the 0.05 level of significance. The sample sizes are 23 and 27. The variances are 18 and 36, respectively. What is the upper critical value t, for the rejection region if:(a) the alternative hypothesis is one-sided, and you assume that the population variances are vunequal?(b) the alternative hypothesis is two-sided , and you assume that the population variances are unequal?(c) the alternative hypothesis is one-sided and you assume that the population variances are equal?(d) the alternative hypothesis is two-sided, and you assume that the population variances are equal?
. The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populations
Perform the test of hypothesis on the following scenarios. In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two – tailed with α = 0.01.
Two machines (A and B) are used to fill plastic bottles with liquid laundry detergent. By default, the variability of liquid filled should be in a normal distribution form and both machines should operate similarly. If there is any difference, they may need to be calibrated. The output below shows the production result obtained from 14 bottles of Machine A and 12 bottles of Machine B: LOOK TO THE 2 HOPTPS. Q) At the 10% significance level, test whether calibration need to be made or not.

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