Answer:
We fail to reject the null hypothesis because -1.7678 does not fall inside the rejection region {z | z < -1.96 or z >1.96}
Step-by-step explanation:
We have that the machine will fill bottles according to a normally distributed process, let's say
is a random variable that represents this process. We know that
has a mean of 47 fluid ounces and a standard deviation of 0.4 fluid ounces. We have a sample of n = 50 bottles and the observed value
.
We want to test
vs
(two-tailed alternative)
We have n = 50 large enough, and the point estimator of the mean
, which is normally distributed with the same mean than
, i.e.,
, and with standard deviation given by
. Therefore, our test statistic is
and
.
As we want a significance level of 0.05, we should find the values
and
, i.e., the 2.5th quantile and the 97.5th quantile for the standard normal distribution. These values are -1.96 and 1.96 respectively. The rejection region is given by {z | z < -1.96 or z >1.96}. We fail to reject the null hypothesis because -1.7678 does not fall inside the rejection region.
Answer:
x=-14
--------------
3(-14+2)=2*-14-8
-36=-36
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients
Answer:
Step-by-step explanation:
a) (5,5) ; (10,6); slope = 1/5
(x1,y2); (x2,y2)
y-y1 = m (x-x1)
![y-5=\frac{1}{5}*(x-5)\\\\y-5=\frac{1}{5}*x-\frac{1}{5}*5\\\\y-5=\frac{1}{5}x-1\\y=\frac{1}{5}x-1+5\\\\y=\frac{1}{5}x+4](https://tex.z-dn.net/?f=y-5%3D%5Cfrac%7B1%7D%7B5%7D%2A%28x-5%29%5C%5C%5C%5Cy-5%3D%5Cfrac%7B1%7D%7B5%7D%2Ax-%5Cfrac%7B1%7D%7B5%7D%2A5%5C%5C%5C%5Cy-5%3D%5Cfrac%7B1%7D%7B5%7Dx-1%5C%5Cy%3D%5Cfrac%7B1%7D%7B5%7Dx-1%2B5%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B5%7Dx%2B4)
d) (√2,7) ; (√2,-7)
(x1,y1) ; (x2,y2)
![slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-7}{\sqrt{2}-\sqrt{2}}\\\\=\frac{-14}{0}=0](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7-7%7D%7B%5Csqrt%7B2%7D-%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-14%7D%7B0%7D%3D0)
Equation: y =7 or y = -7
Answer: V=
cm^3
Step-by-step explanation:
V = s³
V = (0.01)³
V=(1/100)³
V=
cm^3