Answer:
<em>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%</em>
Explanation:
<em>Let us Recall that,
</em>
<em>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
</em>
<em>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,
</em>
<em>z= x-ẋ/s
</em>
<em>
ẋ = the sample mean
</em>
<em>s = the sample standard deviation
</em>
<em>x = is the data value not given
</em>
<em>
The mean value is = 51.6571429
</em>
<em>The standard deviation value is = 25.8012116
</em>
<em>
Then
</em>
<em>The z score for 40 is given as
</em>
<em>
z = 40 – 51.6571429/ 25.8012116 = - 0.45
</em>
<em>
The z score for 70 is given as,
</em>
<em>
Z = 70 – 51.6571429/ 25.8012116 = -0.71
</em>
<em>
The table entry for both -0.45 and 0.71 is 0.3264, and 0.7611
</em>
<em>Therefore,
</em>
<em> find the percentage between 40 and 70, we subtract table entries to get 0.7611 - 0.3264 = 0.4347 or about 43.57%.
</em>
<em>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%
</em>
