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1 answer:
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Answer:
At most 9.12 joules should be required for the bottom 80% of bottled water
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
How much energy should be required for the bottom 80% of bottled water?
At most the 80th percentile.
The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.
At most 9.12 joules should be required for the bottom 80% of bottled water
Answer:
1.01 < µ < 1.03
Step-by-step explanation:
We want to construct a 95% confidence interval. Our sample size is 25, so we use a t-value. The degrees of freedom are 24 (always one less than the sample size).
The t-value we get is: 2.064
We have:
x = 1.02
σ = 0.03
See the attached photo for the construction of the confidence interval...
