Q.54 - The Practice of Statistics for AP

Question

Plant managers are concerned that the number of accidents may be significantly higher during the midnight to$8:00 a.m$. shift than during the $4:00 p.m.$ to midnight shift. What would you tell them? Give appropriate statistical evidence to support your conclusion. 

Step-by-Step Solution

Answer

The peak of number of accidents is higher at $8: 00$ a.m. than the $4:00$ p.m. So, it indicates that claim is absolutely correct.

Step 1: Given information

Given in the question that,  Plant managers are concerned that the number of accidents may be significantly higher during the midnight to$8:00$ a.m. shift than during the $4:00$ p.m. to midnight shift. 

Step 2: Explanation

The data set is

Hour	Number of accidents
$1$	$5$
$2$	$8$
$3$	$17$
$4$	$31$
$5$	$24$
$6$	$18$
$7$	$12$
$8$	$7$
$9$	$1$
$10$	$0$
$11$	$2$
$12$	$14$
$13$	$21$
$14$	$12$
$15$	$10$
$16$	$1$
$17$	$0$
$18$	$1$
$19$	$3$
$20$	$21$
$21$	$23$
$22$	$18$
$23$	$11$
$24$	$2$

Step 3: Graph

The figure could be constructed as:

From the above plot,We can find that the peak of number of accidents is higher at $8: 00$ a.m. than the $4:00$ p.m. So, it indicates that claim is absolutely correct.