Answer: ![(17.96,20.64)](https://tex.z-dn.net/?f=%2817.96%2C20.64%29)
Step-by-step explanation:
The confidence interval for population mean is given by :-
![\overline{x}\ \pm\ t_{n-1,\alpha/2}\dfrac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5C%20%5Cpm%5C%20t_%7Bn-1%2C%5Calpha%2F2%7D%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
Given : ![\overline{x}=19.3](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D19.3)
![s= 3.1](https://tex.z-dn.net/?f=s%3D%203.1)
n=23, which is a small sample(n<30), so we use t-test.
Significance level: ![1-0.95=0.05](https://tex.z-dn.net/?f=1-0.95%3D0.05)
Critical value : ![t_{n-1,\alpha/2}=t_{22,0.025}=2.074](https://tex.z-dn.net/?f=t_%7Bn-1%2C%5Calpha%2F2%7D%3Dt_%7B22%2C0.025%7D%3D2.074)
Then , the confidence interval for population mean will be :-
![19.3\ \pm\ (2.074)\dfrac{3.1}{\sqrt{23}}\\\\\approx19.3\pm1.34\\\\=(19.3-1.34,19.3+1.34)\\\\=(17.96,20.64)](https://tex.z-dn.net/?f=19.3%5C%20%5Cpm%5C%20%282.074%29%5Cdfrac%7B3.1%7D%7B%5Csqrt%7B23%7D%7D%5C%5C%5C%5C%5Capprox19.3%5Cpm1.34%5C%5C%5C%5C%3D%2819.3-1.34%2C19.3%2B1.34%29%5C%5C%5C%5C%3D%2817.96%2C20.64%29)
Hence, the 95% confidence interval for the population mean is ![(17.96,20.64)](https://tex.z-dn.net/?f=%2817.96%2C20.64%29)
Answer:
9.318 × 10^
6
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
G (x) = |x + 10| (if you mean horizontal translation to the left)
or g (x) = | x | + 10 (vertical translation 10 units up)
Answer:
For a line to be parallel it must have the same slope. So the slope of the new equation is 6.
The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....
-5=6(3)+b
Solve for b (the y-intercept)
b= -23
Therefore.... y=6x-23
??? does that help????