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Answer:
Option A is true
The researchers proved that exercise causes weight loss only for high school students.
Step-by-step explanation:
We are told that the researchers found a high correlation, 0.93, between amount of exercise and weight lost.
Now, looking at each of the options;
- A is True because due to the high correlation, the research proves that exercise causes weight loss but only for high school students.
- B is not true because we are told the correlation is very high at 0.93. Thus, it is untrue that there is no proven causation.
-C is not true because there's no where that the researchers have completely proved that exercise causes weight loss generally. It is only peculiar to the high school students studied.
-D is not true because the 93% is just a correlation and not a percentage of those who lost weight
Answer:
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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.
Mean of 69.0 inches and a standard deviation of 2.8 inches.
This means that 
What is the bottom cutoff heights to be eligible for this experiment?
The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
The correct answer is –6x + 15 < 10 – 5x.
We can tell this by solving for x.
–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.
-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides
-x + 15 < 10 ----> subtract 15 from both sides
-x < -5 ----> Divide by -1
x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).
The answer will be a) 11 b) 9
