Answer:
The 90% confidence interval for population mean length of eastern rods is (23.73, 24.07).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean when the population standard deviation is not known is:
![CI=\bar x\pm t_{\alpha/2, (n-1)}\ \frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%5C%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
The information provided is:
![n=25\\\bar x=23.9\ \text{feet}\\s=0.50\ \text{feet}\\t_{\alpha/2, (n-1)}=t_{0.05, 24}=1.71\\](https://tex.z-dn.net/?f=n%3D25%5C%5C%5Cbar%20x%3D23.9%5C%20%5Ctext%7Bfeet%7D%5C%5Cs%3D0.50%5C%20%5Ctext%7Bfeet%7D%5C%5Ct_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%3Dt_%7B0.05%2C%2024%7D%3D1.71%5C%5C)
Compute the 90% confidence interval for population mean length of eastern rods as follows:
![CI=\bar x\pm t_{\alpha/2, (n-1)}\ \frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20t_%7B%5Calpha%2F2%2C%20%28n-1%29%7D%5C%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
![=23.9\pm 1.71\times\frac{0.50}{\sqrt{25}}\\\\=23.9\pm 0.171\\\\=(23.729, 24.071)\\\\\approx (23.73, 24.07)](https://tex.z-dn.net/?f=%3D23.9%5Cpm%201.71%5Ctimes%5Cfrac%7B0.50%7D%7B%5Csqrt%7B25%7D%7D%5C%5C%5C%5C%3D23.9%5Cpm%200.171%5C%5C%5C%5C%3D%2823.729%2C%2024.071%29%5C%5C%5C%5C%5Capprox%20%2823.73%2C%2024.07%29)
Thus, the 90% confidence interval for population mean length of eastern rods is (23.73, 24.07).
Answer:
12 students
Step-by-step explanation:
if the maths club went in 2 vans of 6 students then that is two lots of six
2 x 6 = 12 students
I hope this helps :-)
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/*x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
1. <span>8.79 which becomes 8.80 after rounding. </span><span>
2. 152.05</span>
-158 is the smaller/lesser number out of the two