change in the performance of the lamps between the dates, Basic Statistics

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Q.2. (ii) A company making lamps has drawn a sample from its production line and measured the light output from each. The results, in microamps, are as follows:

9.1 9.8 9.5 10.4 10.7 10.2 9.8 10.0 10.3 10.1 9.6

At a later date second sample is drawn and tested, with the following results:

9.4 9.3 9.8 10.3 9.9 10.5 10.7 10.4 9.7 10.6

(a) Is there any evidence of a change in the performance of the lamps between the dates?

(b) If there is a difference, calculate the 95% confidence limits for the difference.

(c) If not, calculate the 95% confidence limits for the

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