Answer:
For a sample size of 10, the t-value is about 3.25 (from tables) at a 99% confidence interval.
Explanation:
When the standard deviation for the population is not known, the confidence interval estimate for the population mean is performed with the Student's t-distribution.
The confidence interval for the mean is calculated as
![(\Bar{x}- t\frac{s}{\sqrt{n}} , \, \Bar{x}+ t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%28%5CBar%7Bx%7D-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%2C%20%5C%2C%20%5CBar%7Bx%7D%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20)
where
![\Bar{x}](https://tex.z-dn.net/?f=%5CBar%7Bx%7D)
= sample mean,
s = sample standard deviation,
t = t-value (provided in tables),
n = sample size.
When reading the t-value, (n-1) is called the df or degrees of freedom.
Answer:
7.5 pounds
Step-by-step explanation:
30/4=7.5 :)
Answer:
point-slope form: y - 1 = -4/5(x - 8)
slope-intercept form: y = -4/5x + 7.4
Step-by-step explanation:
Find slope using the points (8, 1) and (-2, 9):
m = (y₂ - y₁) / (x₂ - x₁)
= (9 - 1) / (-2 - 8)
= 8 / -10
m = -4/5
Find y-intercept using slope m from above and anyone of the given points, let's use (8, 1):
y = mx + b
1 = -4/5(8) + b
1 = -6.4 + b
b = 7.4
Use slope m and y-intercept b above to form equation of line in slope-intercept form:
y = mx + b
y = -4/5x + 7.4
For point slope form use slope m from above and a point, again let's use (8, 1):
y - y₁ = m(x - x₁)
y - 1 = -4/5(x - 8)
![\frac{mn^{2}}{4} /\frac{m^{2}n}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bmn%5E%7B2%7D%7D%7B4%7D%20%20%2F%5Cfrac%7Bm%5E%7B2%7Dn%7D%7B8%7D%20%20%20)
in division of fraction we take reciprocal of second fraction and multiply it with first
![\frac{mn^{2}}{4} * \frac{8}{m^{2}n}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bmn%5E%7B2%7D%7D%7B4%7D%20%20%2A%20%5Cfrac%7B8%7D%7Bm%5E%7B2%7Dn%7D%20%20%20)
cancelling like terms we get
![\frac{2n}{m}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2n%7D%7Bm%7D%20%20)
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