Question: Water_Wise (see problem 3.53) is analysing water usage for a block of one-bedroom flats. It collects data on total daily water consumption in kilolitres (kL)

Water_Wise (see problem 3.53) is analysing water usage for a block of one-bedroom flats. It collects data on total daily water consumption in kilolitres (kL) for 133 consecutive days. < WATER >.

a. Decide whether total daily water usage in this block of flats is approximately normal by:

i. evaluating the actual versus theoretical properties ii. constructing a normal probability plot

b. From part (a), assume that total daily water usage of the flats is normally distributed with a mean of 1.27 kL and standard deviation of 0.33 kL.

i. On what percentage of days is total water usage less than 1.0 kL?

ii. On what proportion of days is total water usage between 0.8kL and 1.4 kL?

iii. What is the probability that tomorrow total water usage will exceed 2.0 kL?

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