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Jan 9, 2024

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Course: Research Methods (ENGR 5156E) Homework:3 Name : Sumaiya Shahreen Student ID: 0416702 Submitted on: 7 th Nov,2023 Submitted to: Professor Redhouane Henda
1- Identify the types of errors as per the depicted data. Explain. Answer : The types of errors as per the depicted data are Random Error and Systematic Error. Here the upper scale is the Random error because an error is considered random if the value of what is being measured sometimes goes up or sometimes goes down. And the lower scale is the Systematic error because an error is considered systematic, if it consistently changes in the same direction. 2- Check the right answer on why it is important for measurements in research to be accurate or valid: a) The method you are using measures what you think you are measuring. b) The method you are using measures the same thing every time the method is used. c) You are confident that the method you are using is precise. d) The method you are using finds the answer you expected to find. Answer: (a) The method you are using measures what you think you are measuring. 3- Check the right answer on why it is important for measurements in research to be precise or reliable: a) The method you are using measures the same thing every time the method is used. b) The method you are using measures what you think you are measuring. c) You are confident that the method you are using is accurate. d) The method you are using finds the answer you expected to find Answer: (a) The method you are using measures the same thing every time the method is used. 4- Blood pressure study: it is acceptable and consistent to use a manual cuff for one participant and a digital blood pressure machine for another participant. a) True, the type of blood pressure machine would not affect the results.
b) False, the type of blood pressure machine that is used should be consistent, or the same, for each participant. Answer: b) False, the type of blood pressure machine that is used should be consistent, or the same, for each participant. 5- Let x have a value of 7.76 in a normally distributed population sample. A previously measured data set (sampled) was determined to have a mean value of 6.2 and a standard deviation of 2.1. Within how many standard deviations is the value of x? (Hint: Use the z-score) Answer: Given, x = 7.76 Mean value, μ = 6.2 S tandarddeviation ,σ = 2.1 We know, z = x μ σ z = 7.76 6.2 2.1 z = 0.743 Therefore for the value of x = 7.76, 0.743 is the standard deviations above the mean.
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6- Use Excel function rand() to create a 20x5 array of random numbers between 0 and 9. Answer: Below is the excel for the function rand() to create a 20x5 array of random numbers between 0 and 9.