The UCL and LCL for an x chart are 25 and 15 The central line is 20, and the process variability is considered to be in statistical control. The results of the next six sample means are 18, 23, 17, 21, 24, and 16. What should you do

Complete Question

The UCL and LCL for an X-bar chart are 25 and 15 respectively. The central line is 20, and the process variability is considered to be in statistical control. The results of the next six sample means are 18, 23, 17, 21, 24, and 16. What should you do?

a. Explore the assignable causes because the second, fourth, and fifth samples are above the mean.

b. Explore the assignable causes because there is a trend.

c Nothing: the process is in control.

d Explore the assignable causes because there is a run

The correct option is c

Step-by-step explanation:

From the question we are told that

   The data for the next six means is 18, 23, 17, 21, 24, and 16.

    The central  line is   k =  20  

Generally the mean of the next six mean is mathematically represented as

=>    

Generally given that the mean of the next six means is very close to the central line , it means that the distribution of the process is more centered (i.e it well within the limit of the  central line ), and what this tell us is that the process is in control so we do nothing

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3