A clothing store has randomly selected sales receiptsfrom 20 female and 20 male customers. They wish to testtheir belief that on average females’ purchases are largerthan males’. Which alternate hypothesis is correct?A) HA: md 7 0; the paired difference in female minusmale spending is greater than zero.B) HA; mf - mm 7 0; the average female purchaseminus the average male purchase is greater than zero. C) HA: mf ≠ mm; the average female purchase is differ-ent from the average male purchase. D) HA: xf 7 xm; the average purchase for the 20 femalesis greater than the average for the 20 males.E) HA: xf - xm ≠ 0; the average purchase for the20 females is different than the average for the20 males.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
from 20 female and 20 male customers. They wish to test
their belief that on average females’ purchases are larger
than males’. Which alternate hypothesis is correct?
A) HA: md 7 0; the paired difference in female minus
male spending is greater than zero.
B) HA; mf - mm 7 0; the average female purchase
minus the average male purchase is greater than zero.
ent from the average male purchase.
is greater than the average for the 20 males.
E) HA: xf - xm ≠ 0; the average purchase for the
20 females is different than the average for the
20 males.
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