Anjan wishes to test whether his mean journey time is different on Tuesdays. He chooses a random sample of 30 Tuesdays and finds that his mean journey time for these 30 Tuesdays is 40.2 minutes. Assume that the standard deviation for his journey time on Tuesdays is 6.9 minutes. The time, in minutes, for Anjan's journey to work on Mondays has mean $$$38.4$$$ and standard deviation $$$6.9$$$ Explain whether it was necessary to use the Central Limit theorem in part (b) (ii). ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_63 Year：2020 Question No：6(b)(iii)

Answer:

Yes, because population distribution unknown.

Knowledge points:

6.4.5 use the Central Limit Theorem where appropriate (Only an informal understanding of the Central Limit Theorem (CLT) is required; for large sample sizes, the distribution of a sample mean is approximately normal.)

Answer:

Knowledge points:

Solution:

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