An athlete collected information on different brands of nutrition bars. she made a table showing the number of calories and the
amount of protein in each bar.
the correlation coefficient for the data is approximately 0.92. select all that apply
a)there is a strong positive correlation between the calories and grams of protein.
b)there is a strong negative correlation between the calories and grams of protein.
c)as calories increase in food, protein also increases.
d)all the bars are high in protein in relation to calories.
e)there appears to be no correlation between calories and grams of protein.
the correlation coefficient for the data is approximately 0.92. select all that apply
a)there is a strong positive correlation between the calories and grams of protein.
b)there is a strong negative correlation between the calories and grams of protein.
c)as calories increase in food, protein also increases.
d)all the bars are high in protein in relation to calories.
e)there appears to be no correlation between calories and grams of protein.
2 answers:
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Answer:
The upper 20% of the weighs are weights of at least X, which is , in which
is the standard deviation of all weights and
is the mean.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
The upper 20% of the weighs are weights of at least X, which is , in which
is the standard deviation of all weights and
is the mean.