Paint costs $29.95 per gallon. Nikki needs 12.25 gallons to complete a painting project. How much will Nikki spend on paint? (Ro
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The value of t obtained is 4.76
Given,
Mean of group 1, = 10
Mean of group 2, = 12
= 5
= 8
Number of individuals per group, n = 6
The degrees of freedom are calculated as:
= ( 8-1) + (8-1) = 7 + 7 = 14
The difference between sample means is:
=
= 10 - 12 = 2
Here n is equal for both groups which is = 8
Now,
The standard deviation of sample 1 :
The standard deviation of sample 2 :
Now, we have to calculate the standard error for the difference of the means.
MSE =
=
=
MSE = 0.7237
Then, the standard error can be calculated as:
Now we can calculate t :
Learn more about standard deviation here : brainly.com/question/16403666
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Answer:
Step-by-step explanation:
A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.
The definition leads to the equation
1. Calculate the value of a²
Assume the neighbours are at the foci A and B.
The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.
Then AB = 1 mi = 5280 ft
and the distance from the focus to the y-axis is
c = 2640
The vertices are (±a,0).
The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.
The distance from A to the vertex V₁ is c - a. Then
AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280
2a = 2200
a = 1100
a² = 1 210 000
2. Calculate the value of b²
3. Write the equation for the hyperbola
