Please answer items 3-5 only.Follow 5 steps:Step 1: State null & alternate hypothesisStep 2: Select a level of significance Step 3: Identify the test statistic Step 4: Formulate a decision ruleStep 5: Take a sample to arrive at a decision (Reject or do not reject null hypothesis) WEEK 8 EXERCISES: T-testTest the hypothesis using 5 steps.1. A ten (10) randomly selected groceries in San Francisco has an average salesof 4 )thousand dollars every 6 months from various goods with a standarddeviation of thousand dollars. Is this enough evidence to conclude that thegroceries are not seg an average of 42 thousand dollars from variousgoods every 6 months? at 0.05 level of signific. Use one-tailed test.To2. A certain manager wishes to find oe proposed system of operationsincreases the gross sales of the ducts the compared with existing system.compare the results, six bches for each sym are randomly selected forassessment, the result follows:Avera ales in million:dard deviation:Proposed systemx₁ = 42.5,No. of branchesX2 32.6S₂= 4.812= 6Is the proposed system significantly better than the existing system? Test ata=0.01 (1%) and one-tailed test.Existing systemS₁= 5.7.ni= 6,3. Oil wells in a large field produce an average of 33.5(µ) barrels per day.Afifteen (15) randomly selected oil wells produce an average of 30 (x)barrels ofcrude oil per day with a standard deviation of 3.5 barrels. Is this enough evidenceto conclude that the oil wells are not producing an average of 33.5(µ) barrels ofcrude oil per day? Test at a=0.1, level of significance. Use two-tailed test4. In an attempt to compare the performance of students with more than onepersonal electronic gadgets and those with no or only one personal electronicgadget, The mean grade in one term and the standard deviation are shown inthe table:Students with personalelectronic gadgets0-1>1Meanx₁ = 83x₂ = 79StandardDeviationMeanSi=10S₂ = 14X₁ = 83X2 = 79Is there a significant difference in the mean grades of students with one or no personalelectronic gadget and those with more than one personal electronic gadgets? @ a = 0.05and two-tailed test.5. Perform Exercise no. 2, assuming one-tailed test, @a= 0.01 and n₁ = 15.Students with personalelectronic gadgets0-1>1sampleStandardDeviationn₁ = 12m2 =12Si= 10S₂= 14n₁ =15n₂ = 12

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3. Oil wells in a large field produce an average of 33.5(µ) barrels per day .A fifteen (15) randomly selected oil wells produce an average of 30 (x)barrels of crude oil per day with a standard deviation of 3.5 barrels. Is this enough evidence to conclude that the oil wells are not producing an average of 33.5(μ) barrels of crude oil per day? Test at

3. Oil wells in a large field produce an average of 33.5(µ) barrels per day .A fifteen (15) randomly selected oil wells produce an average of 30 (x)barrels of crude oil per day with a standard deviation of 3.5 barrels. Is this enough evidence to conclude that the oil wells are not producing an average of 33.5(μ) barrels of crude oil per day? Test at

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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