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9514 1404 393
Answer:
see attached
Step-by-step explanation:
Translation 12 units down puts each point 12 units lower on the graph than the position where it is currently shown. Segment RS is now shown on the line y=9. It will be translated straight down so it appears on the line y = 9-12 = -3.
Similarly, T has a y-coordinate of 2. Translated down 12, it will have a y-coordinate of y = 2-12 = -10.
The x-coordinates of all of the points remain the same.
The translation is shown in the attachment.
Answer:
a) 38.59% probability that a young man (aged 20 to 34) has a cholesterol level greater than 200 milligrams per deciliter.
b) By the Central Limit Theorem, the mean of the distribution of the sample mean would be 188 milligrams per deciliter
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 problem, we have that:
a. Find the probability that a young man (aged 20 to 34) has a cholesterol level greater than 200 milligrams per deciliter.
This is 1 subtracted by the pvalue of Z when X = 200. So
has a pvalue of 0.6141
1 - 0.6141 = 0.3859
38.59% probability that a young man (aged 20 to 34) has a cholesterol level greater than 200 milligrams per deciliter.
b. Suppose you measure the cholesterol level of 100 young men chosen at random and calculate the sample mean. If you did this many times, i. what would be the mean of the distribution of the sample mean
By the Central Limit Theorem, the mean of the distribution of the sample mean would be 188 milligrams per deciliter