I need your help please to answer question C ANSWER TO b) IN MATLAB >> [h,p,ci,s

Question

I need your help please to answer question C

ANSWER TO b) IN MATLAB

>> [h,p,ci,stats]=ttest(diff1)

h =

     1

p =

   1.3084e-08

ci =

-16.8340

   -8.7248

stats =

struct with fields:

    tstat: -6.2626

       df: 89

       sd: 19.3587

Question 1 7 marks In an experiment concerned with methods of measuring blood pressure, systolic blood pres- sure in mmHg was measured for each of 90 randomly selected people, once using a machine that automatically measures blood pressure and once using conventional equipment with a human operator. The data are available in the file systolic.scsv. The purpose of the following analysis is to determine whether machine measurements are systematically different from the human measurements 1 (a) Explain briefly why the data should be treated as paired rather than two independent samples 3 (b) Use MATLAB to perform a matched pairs t-test. Ptate the value of the test statistic, the reference distribution with appropriate degrees of freedom, and the P-value. Do you reject or retain the null hypothesis at the 5% level of significance? Make sure to include the code you used in MATLAB to run the test, along with the output (do NOT include any code used to import/write out data) 3 (c) Determine if the assumptions of the test are met

Explanation / Answer

The assumption in a matched pair t-test is that the pairwise differences must constitute a random sample from a normal distribution.

There are many methods to test whether a sample comes from a normal distribution. Some of them are

- Kolmogorov-Smirnov test

- Lilliefors test

- Anderson-Darling test

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