Answer:
x = 2
Step-by-step explanation:
i < 3u
Step-by-step explanation:
6i < 5i + 3u
6i - 5i < 3u
i < 3u
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 :![\rho \leq 0](https://tex.z-dn.net/?f=%5Crho%20%5Cleq%200)
Alternative hypothesis: ![\rho >0](https://tex.z-dn.net/?f=%20%5Crho%20%3E0)
2) Calculate the statistic
The statistic in order to test an hypothesis for the correlation coefficient is given by:
![t =\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}](https://tex.z-dn.net/?f=t%20%3D%5Cfrac%7Br%5Csqrt%7Bn-2%7D%7D%7B%5Csqrt%7B1-r%5E2%7D%7D)
This statistic follows a t distribution with n-2 degrees of freedom
If we replace the values given we got:
![t =\frac{0.81\sqrt{20-2}}{\sqrt{1-(0.81^2)}}=5.86](https://tex.z-dn.net/?f=t%20%3D%5Cfrac%7B0.81%5Csqrt%7B20-2%7D%7D%7B%5Csqrt%7B1-%280.81%5E2%29%7D%7D%3D5.86)
3) P value
For this case w eneed to calculate first the degrees of freedom
![df=n-2=20-2=18](https://tex.z-dn.net/?f=df%3Dn-2%3D20-2%3D18)
And then analyzing the alternative hypothesis we can calculate the p value on this way:
![p_v =P(t_{18} >5.86) =1-P(t_{18}](https://tex.z-dn.net/?f=p_v%20%3DP%28t_%7B18%7D%20%3E5.86%29%20%3D1-P%28t_%7B18%7D%20%3C5.86%29%3D1-0.99999%3D7.51x10%5E%7B-6%7D)
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."
If the repairman work x hours, then he will charge $35 an hour, so the total of $35*x.
Add to the above amount the $50 we get $(50+35x).
The correct answer is then B.
The projected sales for the next day is $6844, 15% higher than the sales of the previous day.
Day 1 = 4500
Day 2 = 5175
Day 3 = 5951
Day 2 / Day 1 = 5175 / 4500 = 1.15 x 100% = 115%
Day 3 / Day 2 = 5951 / 5175 = 1.15 x 100% = 115%
Based on the above computation, projected sales of the next day is 15% higher than the sale of the previous day.
Day 4 / Day 3 = x / 5951 = 1.15 x 100% = 115%
x / 5951 = 1.15
x = 1.15 * 5951
x = 6843.65 rounded up to the nearest one 6844
To check:
Day 4 / Day 3 = 6844 / 5951 = 1.15 x 100% = 115%