1. Two rival manufacturers of penlight batteries claimed that their product lasts longer than the other. Thirty samples of Brand A and thirty-four of Brand B were tested. The following are the lengths of lives of such batteries recorded in hours. Use . Brand A
38 41 42 36 39 41 43 35 36 38 42 39 40 43 44
35 40 39 37 40 42 44 38 37 41 40 38 42 45 41

Brand B
38 40 41 43 39 41 40 43 39 38 40 43 44 39 40 41 42
39 40 45 40 38 42 41 40 36 37 41 42 40 36 38 41 40
solution:
H0:
Ha:
Level of significance:
Type of test and critical region/ p value:
Computations/ excel output
Decision:
Conclusion

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

replication and blocking

step-by-step explanation: