Answer:
Step-by-step explanation:
Given that a dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly assigns nold = 8 to get the old diet, and nnew = 5 to get the new diet including the additive.
From the data given we get the following
N Mean StDev SE Mean
Sample 1 8 43 5.1824 1.832
Sample 2 5 73 21.0832 9.429
df = 11
Std dev for difference = 13.3689
a) Yes the two are independent. The two sets of cows randomly chosen are definitely independent. Paired means equal number should be there and homogeneous conditions should be maintained.
b) Enclosed
c) Comparison of two means is the test recommended here. Because independent samples are used.\
d) Test statistic= -3.1233
(because of unequal variances we use that method)
95% confidence interval = ( -56.6676 , -3.3324 )
p value <0.05 our alpha
So reject null hypothesis.
The two means are statistically significantly different.
Answer:
288π or 904.78
Step-by-step explanation:
We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is 
× π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.
Volume = × π × r³
→ Let's substitute in the values
Volume = × π × 6³
→ Simplify
Volume = × π × 216
→ Simplify further
Volume = 288π or 904.78
The area of the cross-section is 169 sq. cm.
That is the correct answer to this problem
I believe that -3 is less than 3x-6 because if you look at their graph -3’s graph is below 3x-6 graph
Answer:For all the corner points, the maximum is at point (1, 3)
From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)
For (0, 0): p = 0 + 2(0) = 0
For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67
For (1, 3): p = 1 + 2(3) = 1 + 6 = 7
For (2, 0): p = 2 + 2(0) = 2
Therefore, solution = (1, 3)
