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    FALL2017-MTH 203 Assignment

    Uploaded by

    Yousef Al Hashemi
    This document contains a 2 question assignment assessing students' skills in [1] constructing confidence intervals and performing simple linear regression analysis. Question 1 (10 marks total) contains two parts assessing: [1] computing a 99% confidence interval for the mean number of vehicles passing an intersection based on sample data (3 marks), and [2] computing sample mean, standard deviation, and a 95% confidence interval for population mean sales based on sample supermarket data (7 marks). Question 2 (10 marks total) assesses: [1] plotting a scatter diagram of printer speed and price data (3 marks), [2] identifying the relationship between these variables (1 mark), [3] computing the coefficient of correlation

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    FALL2017-MTH 203 Assignment

    Uploaded by

    Yousef Al Hashemi
    90 views4 pages
    This document contains a 2 question assignment assessing students' skills in [1] constructing confidence intervals and performing simple linear regression analysis. Question 1 (10 marks total) contains two parts assessing: [1] computing a 99% confidence interval for the mean number of vehicles passing an intersection based on sample data (3 marks), and [2] computing sample mean, standard deviation, and a 95% confidence interval for population mean sales based on sample supermarket data (7 marks). Question 2 (10 marks total) assesses: [1] plotting a scatter diagram of printer speed and price data (3 marks), [2] identifying the relationship between these variables (1 mark), [3] computing the coefficient of correlation

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    Math200

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    FALL2017-MTH_203_Assignment_202b27353f7783bf17597d370d1f9049

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    This document contains a 2 question assignment assessing students' skills in [1] constructing confidence intervals and performing simple linear regression analysis. Question 1 (10 marks total) contains two parts assessing: [1] computing a 99% confidence interval for the mean number of vehicles passing an intersection based on sample data (3 marks), and [2] computing sample mean, standard deviation, and a 95% confidence interval for population mean sales based on sample supermarket data (7 marks). Question 2 (10 marks total) assesses: [1] plotting a scatter diagram of printer speed and price data (3 marks), [2] identifying the relationship between these variables (1 mark), [3] computing the coefficient of correlation

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    90 views4 pages

    FALL2017-MTH 203 Assignment

    Uploaded by

    Yousef Al Hashemi
    This document contains a 2 question assignment assessing students' skills in [1] constructing confidence intervals and performing simple linear regression analysis. Question 1 (10 marks total) contains two parts assessing: [1] computing a 99% confidence interval for the mean number of vehicles passing an intersection based on sample data (3 marks), and [2] computing sample mean, standard deviation, and a 95% confidence interval for population mean sales based on sample supermarket data (7 marks). Question 2 (10 marks total) assesses: [1] plotting a scatter diagram of printer speed and price data (3 marks), [2] identifying the relationship between these variables (1 mark), [3] computing the coefficient of correlation

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 4

    Issue 18/08/2011 Revision Date 10/06/2015 Form No. ECT/ACA/F05.

    03

    Assignment

    Date: Time: Total Mark:


    10

    Students Name

    Students ID

    Course Name Business Statistics

    Course Code MTH 203

    Semester Fall 2017

    Instructors Name Dr. Maamar , Dr. Feras

    Contribution to a PLO Assessment? Yes- No

    If Yes, specify ..

    Questions 1 2 Total

    Point 10 10 20

    Student Mark

    Note: This Assignment accounts for 10% of the students final grade.

    1
    Question 1: Confidence Intervals (10 Marks)

    PART I (3 Marks)

    The state highway department is studying traffic patterns on one of the busiest highways in the state.
    As part of the study, the department needs to estimate the average number of vehicles that pass an
    intersection each day. A random sample of 64 days gives us a sample mean of 14,205 cars and a
    sample standard deviation of 1,010 cars. Compute the 99% confidence interval for the mean number
    of cars passing the intersection

    PART II (7 Marks)

    In the most recent fiscal year, the Whole Foods for Natural Grocery needed to estimate the population
    means sales dollars per square foot. For this purpose, the following data (sales dollars per square foot)
    were collected for a random sample of 10 Whole food supermarkets.

    854, 858, 801, 892, 849, 807, 894, 863, 829, 815.

    Compute each of the following:

    1) The sample mean. (1 mark)


    2) The sample Standard deviation. (3 marks)
    3) The 95% confidence interval for the population mean. (3 marks)

    2
    Question 2: Simple Linear Regression Analysis: (10 Marks)

    PC World provided details for ten of the most economical laser printer (PC World, April 2013). The
    following data show the maximum printing speed in pages per minute (ppm) and the price (in Euros
    including 15 per cent value added tax) for each printer.

    Names Speed (ppm) Price ()


    Brother HL 2035 10 95
    HL Laser jet P1005 9 90
    Samsung ML-1640 11 90
    HP Laser jet P1006 12 105
    Brother HL 2140 6 75
    Brother DCP7030 5 75
    HP Laser jet P1009 7 80
    HP Laser jet P1505 6 85
    Samsung 4300 12 110
    Epson EPL-6200 M 14 115

    Hint: The regression equation y = 4.3 x + 52.13 and R = 0.8884

    Answer all the following questions:

    1) Construct a scatter diagram with speed and the price. (3 marks)


    Note: You may use the attached graph paper on next page 4 or any other graph paper.

    2) What kind of relationship exists between speed and the price? (1 mark)

    3) Compute the coefficient of correlation (2 marks)

    4) What does the correlation coefficient tell you about the relationship between speeds and price?
    (2 marks)

    5) Use the regression equation to predict price when speed is 8 ppm. (2 marks)

    3
    End of Assignment
    Good Luck

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