Kate buys 2.4 kilograms of rice . she separates the rice into packages that contain 0.4 kilograms of rice each. how many package
1 answer:
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Answer:
- a) about 3.0%
- b) about 7×10^-6
Step-by-step explanation:
These sorts of calculations are best done with a calculator that knows statistics.
a) The z-value of the limit ofv interest is (45,000 -35,551)/(5100) ≈ 1.8743. The empirical rule tells you between 16 and 2.5% of the distribution will lie above a limit that is between 1 and 2 standard deviations. So, our calculator value of 3% is approximately correct.
b) The standard deviation of the sample mean is reduced by a factor of √75 from that of the parent distribution for a sample size of 75. Then the z-value is ...
... (38,000 - 35,441)/(5100/√75) ≈ 2559/588.90 ≈ 4.345
The probability of exceeding this valus is pretty small, about 6.95×10^-6.
