Answer:
1. 15.4
2. 9.66
3. 13.16
4. 12.32
Step-by-step explanation:
Answer:
t=5.86
We can conclude that the population correlation between their assets and pretax profit is higher than 0 at the significance level provided.
Step-by-step explanation:
n= 20 random sample taken
r=0.81 correlation coeffcient obtained
significance level obtained
1) System of hypothesis
The system of hypothesis given are:
Null hypothesis :
Alternative hypothesis:
2) Calculate the statistic
The statistic in order to test an hypothesis for the correlation coefficient is given by:
This statistic follows a t distribution with n-2 degrees of freedom
If we replace the values given we got:
3) P value
For this case w eneed to calculate first the degrees of freedom
And then analyzing the alternative hypothesis we can calculate the p value on this way:
Since the P-value is smaller than the significance level, we have enough evidence to reject the null hypothesis in favor of the alternative. We conclude "there is sufficient evidence at the significance level to conclude that there is a linear relationship in the population between the two variables analyzed."
Answer:
y= ab if a≠b
Step-by-step explanation:
y/a −b= y/b −a
multiply each side by ab to clear the fractions
ab(y/a −b) = ab( y/b −a)
distribute
ab * y/a - ab*b = ab * y/b - ab *a
b*y - ab^2 = ay -a^2 b
subtract ay on each side
by -ay -ab^2 = ay-ay -a^2b
by -ay -ab^2 =-a^2b
add ab^2 to each side
by-ay -ab^2 +ab^2 = ab^2 - a^2b
by-ay = ab^2 - a^2b
factor out the y on the left, factor out an ab on the right
y (b-a) = ab(b-a)
divide by (b-a)
y (b-a) /(b-a)= ab(b-a)/(b-a) b-a ≠0 or b≠a
y = ab