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An experiment was conducted to compare two methods (namely slide method and digital method) used by medical professionals in obtaining medical images for diagnosis purposes. A group of medical professionals were required to retrieve an image from a library of slides (slide method) and from a computer database (digital method). The time (in seconds) taken for each medical professional to retrieve an image using both methods were recorded. A statistical analysis for the recorded paired data using 4% significance level was conducted and the Microsoft Excel output is given in Figure 1. t-Test: Paired Two Sample for Means i) Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Slide Digital 32.5455 12.9091 52.8727 8.09091 11 11 0.28789 30 10 -4.9076 0.00031 1.9481 0.00062 2.35931 Figure 1 Are the sample taken from two different populations? ii) Is there enough evidence to suggest that retrieving image using the digital method is faster than the slide method by more than 30 seconds? Use P-value approach. iii) Conduct a necessary analysis to test the time taken by the medical professionals to retrieve an image using the digital method has a standard deviation of 3 seconds. Use 10% level of significance.

An experiment was conducted to compare two methods (namely slide method and digital method) used by medical professionals in obtaining medical images for diagnosis purposes. A group of medical professionals were required to retrieve an image from a library of slides (slide method) and from a computer database (digital method). The time (in seconds) taken for each medical professional to retrieve an image using both methods were recorded. A statistical analysis for the recorded paired data using 4% significance level was conducted and the Microsoft Excel output is given in Figure 1. t-Test: Paired Two Sample for Means i) Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Slide Digital 32.5455 12.9091 52.8727 8.09091 11 11 0.28789 30 10 -4.9076 0.00031 1.9481 0.00062 2.35931 Figure 1 Are the sample taken from two different populations? ii) Is there enough evidence to suggest that retrieving image using the digital method is faster than the slide method by more than 30 seconds? Use P-value approach. iii) Conduct a necessary analysis to test the time taken by the medical professionals to retrieve an image using the digital method has a standard deviation of 3 seconds. Use 10% level of significance.

MATLAB: An Introduction with Applications
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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i) and ii). 

An experiment was conducted to compare two methods (namely slide method and digital method) used by medical professionals in obtaining medical images for diagnosis purposes. A group of medical professionals were required to retrieve an image from a library of slides (slide method) and from a computer database (digital method). The time (in seconds) taken for each medical professional to retrieve an image using both methods were recorded. A statistical analysis for the recorded paired data using 4% significance level was conducted and the Microsoft Excel output is given in Figure 1. t-Test: Paired Two Sample for Means i) Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Slide Digital 32.5455 52.8727 11 0.28789 30 10 -4.9076 0.00031 1.9481 0.00062 2.35931 Figure 1 Are the sample taken from two different populations? 12.9091 8.09091 11 ii) Is there enough evidence to suggest that retrieving image using the digital method is faster than the slide method by more than 30 seconds? Use P-value approach. iii) Conduct a necessary analysis to test the time taken by the medical professionals to retrieve an image using the digital method has a standard deviation of 3 seconds. Use 10% level of significance.
Transcribed Image Text:An experiment was conducted to compare two methods (namely slide method and digital method) used by medical professionals in obtaining medical images for diagnosis purposes. A group of medical professionals were required to retrieve an image from a library of slides (slide method) and from a computer database (digital method). The time (in seconds) taken for each medical professional to retrieve an image using both methods were recorded. A statistical analysis for the recorded paired data using 4% significance level was conducted and the Microsoft Excel output is given in Figure 1. t-Test: Paired Two Sample for Means i) Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Slide Digital 32.5455 52.8727 11 0.28789 30 10 -4.9076 0.00031 1.9481 0.00062 2.35931 Figure 1 Are the sample taken from two different populations? 12.9091 8.09091 11 ii) Is there enough evidence to suggest that retrieving image using the digital method is faster than the slide method by more than 30 seconds? Use P-value approach. iii) Conduct a necessary analysis to test the time taken by the medical professionals to retrieve an image using the digital method has a standard deviation of 3 seconds. Use 10% level of significance.
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