Answer:A z-score is measured in units of the standard deviation. ... is two, the value 11 is three standard deviations above (or to the right of) the mean. ... The following two videos give a description of what it means to have a data set that is “normally” distributed. ... The z-scores for µ+3σ and µ–3σ are +3 and –3 respectively.
Step-by-step explanation:
O 3N
0 12 N
22N
The answer is 27N
ur welcome
Answer:
64
Step-by-step explanation:
If the mean is 15, the sum of 5 numbers is:
Minimum value for the first four numbers would be:
Then the fifth number is:
So the maximum difference is:
Answer:
32
Step-by-step explanation:
Answer:
4.75% probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation
Normal probability distribution
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:
What is the probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds?
This is 1 subtracted by the pvalue of Z when X = 1.25. So
has a pvalue of 0.9525.
So there is a 1-0.9525 = 0.0475 = 4.75% probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds.