Please give this in steps
2 answers:
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Answer:
<em>Bethany did not do better than Richie because her average score was less than his.</em>
Step-by-step explanation:
<u>Average Value</u>
The average or mean value of m successes out of n tries is given by:
During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:
Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:
Bethany did not do better than Richie because her average score was less than his.
Answer:
There is a 95% chance that values will be within ±2 standard deviations of 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.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this question:
According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:
There is a 95% chance that values will be within ±2 standard deviations of the mean.