Write 4.05 in word form
2 answers:
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Answer:
a) 9.18% f the New York City commutes are for less than 29 minutes.
b) 26.39% are between 29 and 36 minutes.
c) 67.55% are between 29 and 44 minutes
Step-by-step explanation:
Problems of normally distributed samples can be 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 problem, we have that:
a.
What percent of the New York City commutes are for less than 29 minutes?
This is the pvalue of Z when X = 29.
So
has a pvalue of 0.0918.
So 9.18% f the New York City commutes are for less than 29 minutes.
b.
What percent are between 29 and 36 minutes?
This is the pvalue of Z when X = 36 subtracted by the pvalue of Z when X = 29.
X = 36
has a pvalue of 0.3557.
X = 29
has a pvalue of 0.0918.
So 0.3557 - 0.0918 = 0.2639 = 26.39% are between 29 and 36 minutes.
c.
What percent are between 29 and 44 minutes?
This is the pvalue of Z when X = 44 subtracted by the pvalue of Z when X = 29.
X = 44
has a pvalue of 0.7673.
X = 29
has a pvalue of 0.0918.
So 0.7673 - 0.0918 = 0.6755 = 67.55% are between 29 and 44 minutes