5 x 3/4 = 15/4
15/4 = 3 3/4
Answer:
120
Step-by-step explanation:
i just answer the question
Answer:
-1.5
Step-by-step explanation:easy
Answers:
1.) <span>the number 0 (for the real numbers)
</span>
2.) a(b+c)= ab + ac or a(b -c) = ab - ac
3.) equation containing more than one variable
4.) the number 1 (for the real numbers)
5.) <span>the reciprocal of a number; if x is a number other than zero, then 1/x is the multiplicative inverse
</span>
Answer:
The 95% confidence interval is ![98.27 < \mu < 102.53](https://tex.z-dn.net/?f=98.27%20%3C%20%5Cmu%20%20%3C%20%20102.53)
This interval means that there 95% confidence that the true mean is within this interval
Yes i would agree with my friend because the lower and the upper limit 95% confidence interval for mean points scored at home is greater than 98 points
Step-by-step explanation:
From the question we are told that
The sample size is n = 20
The sample mean is ![\mu = 100.4](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20100.4)
The standard deviation is ![\sigma = 4.86](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%204.86)
Given that the confidence level is 95% then the level of significance is mathematically evaluated as
![\alpha = 100 - 95](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%20100%20-%20%2095)
![\alpha = 5\%](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%205%5C%25)
![\alpha = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%200.05)
Next we obtain the critical value of
from the normal distribution table, the value is
![Z_{\frac{ \alpha }{2} } = 1.96](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%20%5Calpha%20%7D%7B2%7D%20%7D%20%3D%20%201.96)
Generally the margin of error is mathematically represented as
![E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{ \sqrt{n} }](https://tex.z-dn.net/?f=E%20%3D%20%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Cfrac%7B%5Csigma%7D%7B%20%5Csqrt%7Bn%7D%20%7D)
substituting values
![E = 1.96 * \frac{ 4.86 }{ \sqrt{20 } }](https://tex.z-dn.net/?f=E%20%3D%20%201.96%20%20%2A%20%20%5Cfrac%7B%204.86%20%7D%7B%20%5Csqrt%7B20%20%7D%20%7D)
![E = 2.13](https://tex.z-dn.net/?f=E%20%3D%20%202.13)
The 95% confidence interval is mathematically represented as
![\= x - E < \mu < \= x + E](https://tex.z-dn.net/?f=%5C%3D%20x%20%20-%20%20E%20%20%3C%20%5Cmu%20%20%3C%20%20%5C%3D%20x%20%20%2B%20%20E)
substituting values
![100.4 - 2.13 < \mu < 100.4 + 2.13](https://tex.z-dn.net/?f=100.4%20-%20%202.13%20%20%3C%20%5Cmu%20%20%3C%20%20100.4%20%2B%20%202.13)
![98.27 < \mu < 102.53](https://tex.z-dn.net/?f=98.27%20%3C%20%5Cmu%20%20%3C%20%20102.53)