What percentage of data would you predict would be between 40 and 70 and what percentage would you predict would be more than 70 miles?

The percentage of data of prediction between 40 and 70 is 0.4347 or about 43.57%., the percentage of prediction that would be more than 70 miles is 0.2389 or about 23.89%

Explanation:

Let us Recall that,

We can perform analysis using the z-score of certain values, only when the standard deviation and the men are. The z-score is the measure of how many standard deviations from the mean a certain value is known. by finding the percentage of values that is expected to be above or below a value is by applying the z-score

The first step is to find the z-score for each of these values. After that, we apply the Standard Normal Probabilities table to find the percentage between the values. The z-score given as follows,

z= x-ẋ/s

ẋ = the sample mean

s = the sample standard deviation

x = is the data value not given

The mean value is = 51.6571429

The standard deviation value is = 25.8012116

Then

The z score for 40 is given as

z = 40 – 51.6571429/ 25.8012116 = - 0.45

The z score for 70 is given as,

Z = 70 – 51.6571429/ 25.8012116 = -0.71

The table entry for both -0.45 and 0.71 is 0.3264, and 0.7611

Therefore,

find the percentage between 40 and 70, we subtract table entries to get 0.7611 - 0.3264 = 0.4347 or about 43.57%.

To find the percentage above 70, we subtract the table entry for 70 from 1 to get 1 - 0.7611 = 0.2389 or about 23.89%

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