Consider the two functions f(x) and g(x), where f(x) = 2x and g(x) is graphed below.
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Answer:
A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution
Step-by-step explanation:
When the distribution is normal, we use 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:
What chip amount represents the 67th percentile for the bag weight distribution
This is X when Z has a pvalue of 0.67, so X when Z = 0.44.
A chip of 16.59 ounces represents the 67th percentile for the bag weight distribution