The development engineer of a company making razors has been asked by the marketing department to compare the shaving times of the company’s standard razor and deluxe razor. The development engineer...



The development engineer of a company making razors has been asked by the marketing department to compare the shaving times of the company’s standard razor and deluxe razor.



The development engineer records the time,

X

, it takes him to shave, on seven mornings, using a standard razor. The times, in seconds, were: 217, 210, 254, 237, 232, 228, 243



His assistant volunteers to test the deluxe razor over six mornings and produces the following times,

Y

, measured in seconds: 186, 219, 168, 202, 191, 184



(i) Determine the sample mean and standard deviation for Sample

X

and Sample

Y

. (Marks-4)



(ii) Determine a 95 per cent confidence interval of the difference between the two means. (Marks-4)


(iii) Does this confidence interval suggest that there is a difference between the two shaving times?

May 25, 2022
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