Answer:
a. H0:μ1≥μ2
Ha:μ1<μ2
b. t=-3.076
c. Rejection region=[tcalculated<−1.717]
Reject H0
Step-by-step explanation:
a)
As the score for group 1 is lower than group 2,
Null hypothesis: H0:μ1≥μ2
Alternative hypothesis: H1:μ1<μ2
b) t test statistic for equal variances
t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}
t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}
t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]
t=-3.076
c. α=0.05, df=22
t(0.05,22)=-1.717
The rejection region is t calculated<t critical value
t<-1.717
We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.
Answer:
Mary is 
times heavier than her sister
Step-by-step explanation:
Mary's Weight = n
Sister's Weight = n - 15
To find how many times mary is heavier, we need to multiply "that many time" [let it be x] with sister's weight to get Mary's weight.
<u>e.g. </u>If someone weighs 100 and another person 50, 50 * 2 = 100, thus, 100 kg person is 2 times heaving. We do same for this:
(n - 15) * x = n
x = n/(n - 15)
Answer:
C = 420/h + 400
Step-by-step explanation:
Let s be the side of the square base.
Let h be the height
Volume = s*h
20 = s*h
s = 20/h
Cost of glass is
5(20/h) + 5(4* h*20/h)
= 100/h + 400
Cost of frame is
2*4(20/h) + 2*4(20/h)
= 160/h + 160/h
= 320/h
Total cost = C
C = cost of glass + cost of frame
C = 100/h + 400 + 320/h
C = 420/h + 400
The answer would be 1
Slope formula is y2-y1/x2-x1
8-2/8-2
6/6
1
They should charge $40 per membership, and they will make a maximum revenue of $2400
