Answer:
H0 : μN ≤ μD
H1 : μN > μD
Right tailed
Test statistic = 1.33
Pvalue = 0.097
Fail to reject the Null
Step-by-step explanation:
H0 : μN ≤ μD
H1 : μN > μD
The test is right tailed ; culled from the direction of the greater than sign ">"
Night students :
n1 =30 x1= 3.34 s1 = 0.02
Day students:
n2 = 30 x2 = 3.32 s2 = 0.08
The test statistic :
(x1 - x2) / √(s1²/n1) + (s2²/n2)
T= (3.34 - 3.32) / √(0.02²/30) + (0.08²/30)
T = 0.02 / 0.0150554
Test statistic = 1.328
Using the conservative approach ;
df = Smaller of n1 - 1 or n2 - 1
df = 30 - 1 = 29
Pvalue(1.328, 29) = 0.097
At α = 0.10
Pvalue < α ; Hence, we reject H0 ; and conclude that there is significant evidence that GPA of night student is greater than GPA of day student
Answer:

Step-by-step explanation:






The bottom square portion would be 10 x 10 = 100 square inches.
The area of the triangle would be 1/2 x base x height.
The base is 10 - 6 = 4 inches.
The height is 16 -10 = 6 inches.
Area = 1/2 x 4 x 6 = 12 square inches.
Total area = 100 + 12 = 112 square inches.
Answer:
(7x+3/4*[x-1])^2
Step-by-step explanation:
The square of the sum of 7 times x. and 3 divided by 4 times the difference of x and 1. This would mean that (7x+3/4*[x-1])^2 You would perform x - 1 in the [] first, which is why they are in the extra brackets. The whole thing is squared, so it is all in parenthesis, being squared. It says 3/4 into x-1. This would mean it's multiplying into x-1.
<h2><em><u>Answer : </u></em>The area of triangle is 864 cm² and the height corresponding to the longest side is 28.8 cm.</h2><h2 />