Answer:
0.1574 = 15.74% of the player's serves are expected to be between 116 mph and 146 mph
Step-by-step explanation:
Problems of normally distributed(bell-shaped) 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:

What proportion of the player's serves are expected to be between 116 mph and 146 mph?
This is the pvalue of Z when X = 146 subtracted by the pvalue of Z when X = 116. So
X = 146



has a pvalue of 0.9987
X = 116



has a pvalue of 0.8413
0.9987 - 0.8413 = 0.1574
0.1574 = 15.74% of the player's serves are expected to be between 116 mph and 146 mph
An appropriate unit of measurement for the area of the a soccer field is meters. It could never be miles, because that's way too long. Or millimeters, because that's way too short. Soccer fields are usually meters and meters long, so a unit of measure that is appropriate for an area of a soccer field is meters.
Answer:
D. The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
The treatment group using System A reported a mean of 18.5 lost bags per day. The treatment group using System B reported a mean of 16.6 lost bags per day.
The best conclusion that can be made is - The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
As we know, in statistics, nothing happens by chance. So, this option is correct.
Answer:
4 ballons per basket because
80 ballons divided by 20 baskets is 4
Step-by-step explanation:
Answer:
A) 1/12 lb.
.. (1 2/3)/20 = 1/20 + (2/3)*(1/20)
.. = 1/20 + 1/30
.. = 3/60 + 2/60
.. = 5/60 = 1/12