Answer:
plant B
Consistent means better so plant be had more better yields
Answer: 153.94cm
Step-by-step explanation:
11.99 x 0.1 = 1.20
11.99 - 1.20 = 10.79
10.79 x 0.07 = 0.76
10.79 + 0.76 = 11.55
Your final answer is $11.55
Answer with Step-by-step explanation:
Since we have given
n = 16
a) Describe the sampling distribution for the sample mean.
The sampling distribution of the mean is the population's mean from where the items are sampled.
It would be ![\mu](https://tex.z-dn.net/?f=%5Cmu)
b. What is the standard error?
![s=\dfrac{\sigma}{\sqrt{n}}\\\\s=\dfrac{14}{\sqrt{16}}\\\\s=\dfrac{14}{4}\\\\s=3.5](https://tex.z-dn.net/?f=s%3D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5Cs%3D%5Cdfrac%7B14%7D%7B%5Csqrt%7B16%7D%7D%5C%5C%5C%5Cs%3D%5Cdfrac%7B14%7D%7B4%7D%5C%5C%5C%5Cs%3D3.5)
c. For 90% confidence, what is the margin of error?
Degrees of freedom = v - 1= 16-1 = 15
Using t-table, 1.753 cuts 5% level of significance in each tail.
so, Margin of error would be
![1.753\times 3.5\\\\=6.1355](https://tex.z-dn.net/?f=1.753%5Ctimes%203.5%5C%5C%5C%5C%3D6.1355)
d. Based on the sample results, create the 90% confidence interval and interpret.
So, 90% confidence interval would be
![110+6.136\\\\=116.136\\\\and\\\\110-6.136\\\\=103.86](https://tex.z-dn.net/?f=110%2B6.136%5C%5C%5C%5C%3D116.136%5C%5C%5C%5Cand%5C%5C%5C%5C110-6.136%5C%5C%5C%5C%3D103.86)
(103.86,116.136)
The derivitive of sec(x) is sec(x)tan(x)
find the slope at pi/3
sec(pi/3)=2
tan(pi/3)=√3
sec(x)tan(x) at x=pi/3 is 2√3
for slope=m and a point is (x1,y1)
the equation is
y-y1=m(x-x1)
slope=2√3
point=(pi/3,2)
equation is
y-2=2√3(x-pi/3)