A racing car driver is investigating whether the type of fuel he uses in his car affects his overall speed. He uses three different types of fuel. The driver runs an experiment where he fills his car with each type of fuel 20 times, and each time records the time taken to drive one lap of a track. A one-way ANOVA test is conducted to test the null hypothesis that type of fuel is not a significant factor in determining speed. The result of the test is that the null hypothesis is not rejected. The conclusion that follows from this test is that:

a. it has been proven that the type of fuel is a significant factor in determining speed
b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed
c. it has been proven that the type of fuel is an insignificant factor in determining speed
d. it has been proven that the type of fuel can sometimes be a significant factor in determining speed

b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed.

Step-by-step explanation:

From the question :

Let the speed of each fuel be represented as ;

u1, u2, u3

The null hypothesis, H0 ;

H0 : u1 = u2 = u3

H0 is of the notion that fuel type is not a significant factor in determining speed

The alternative hypothesis, H1;

H1 : u1 ≠ u2 ≠ u3

The alternative is the opposite of the null, fuel type is a significant factor in determining speed

If after conducting the statistical test, the null hypothesis cannot be rejected ;

Then the conclusion will be ;

There is no significant evidence to conclude that the fuel type is a significant factor in determining speed ;

Hence, fuel fuel type remains an insignificant factor in determining speed.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

the answer is 0.000652422

but if you ment to ask what is 6131 divided by 4, it is 1532.75.

step-by-step explanation: