Please use the 5 steps:Step 1: State null & alternate hypothesisStep 2: Select a level of significanceStep 3: Identify the test statisticStep 4: Formulate a decision ruleStep 5: Take a sample to arrive at a decision (Reject or do not reject null hypothesis)Please answer 2-5 only WEEK 8 EXERCISES: T-testTest the hypothesis using 5 steps.1. A ten (10) randomly selected groceries in San Francisco has an average salesof 41 Junousand dollars every 6 months from various goods with a standarddeviation of 5.2thousand dollis enough evidence to conclude that thegroceries are notan average of 42 thousand dollars (μ) from sousgooery 6 months? Test at 0.05 level of significance. Use one-tailed test.To2. A certain manager wishes to find out if the proposed system of operationsincreases the gross sales of the products of the compared with existing system.compare the results, six branches for each system are randomly selected forassessment, the result is as follows:Proposed systemx₁ = 42.5,X2 = 32.6S₁= 5.7.S₂= 4.8ni= 6,112= 6Is the proposed system significantly better than the existing system? Test ata=0.01 (1%) and one-tailed test.Existing systemAverage sales in million:Standard deviation:No. of branches3. 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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a=0.1, level of significance. Use two-tailed test 4. In an attempt to compare the performance of students with more than one personal electronic gadgets and those with no or only one personal electronic gadget, The mean grade in one term and the standard deviation are shown in the table: Students with personal electronic gadgets 0-1 >1 Mean x₁ = 83 x₂ = 79 Standard Deviation Mean S₁= 10 S₂ = 14 X₁ = 83 X2 = 79 Is there a significant difference in the mean grades of students with one or no personal electronic gadget and those with more than one personal electronic gadgets? @ a = 0.05 and two-tailed test. 5. Perform Exercise no. 2, assuming one-tailed test, @a= 0.01 and n₁ = 15. Students with personal electronic gadgets 0-1 >1 sample Standard Deviation n₁ = 12 m2=12 Si= 10 S₂= 14 n₁ =15 1₂ = 12

a=0.1, level of significance. Use two-tailed test 4. In an attempt to compare the performance of students with more than one personal electronic gadgets and those with no or only one personal electronic gadget, The mean grade in one term and the standard deviation are shown in the table: Students with personal electronic gadgets 0-1 >1 Mean x₁ = 83 x₂ = 79 Standard Deviation Mean S₁= 10 S₂ = 14 X₁ = 83 X2 = 79 Is there a significant difference in the mean grades of students with one or no personal electronic gadget and those with more than one personal electronic gadgets? @ a = 0.05 and two-tailed test. 5. Perform Exercise no. 2, assuming one-tailed test, @a= 0.01 and n₁ = 15. Students with personal electronic gadgets 0-1 >1 sample Standard Deviation n₁ = 12 m2=12 Si= 10 S₂= 14 n₁ =15 1₂ = 12

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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