A soft drink filling machine, when in perfect adjustment, fills thebottles with 12 ounces of soft drink. any overfilling or underfilling results in the shutdown and readjustment of the machine. Todetermine whether or not the machine is properly adjusted, thecorrect set of hypotheses is

a. H0:μ<12 Ha:μ<=12
b. H0:μ<=12 Ha:μ>12
c. H0:μ not equal to 12 Ha:μ=12
d. H0:μ=12 Ha:μ not equal to 12

d. H0:μ=12 ; Ha:μ not equal to 12

Step-by-step explanation:

Let  denotes the average ounces of soft drink in a bottle.

Given : a soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink

i.e.   ...(i)

Any overfilling or under-filling results in the shutdown and readjustment of the machine or we can say ...(ii)

As we know , Null hypothesis believes that there is no statistical difference in between the groups  being tested.

Whereas Alternative hypothesis believes that there is statistical difference .

So , from (i) and (ii) , we have

Hence, the correct option is d. H0:μ=12 ;Ha:μ not equal to 12.

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step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of