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.
(x,y)
(3.5,10.5) this is where they meet
Answer: Choice B and D are both correct.
Step-by-step explanation:
The expression has two adjacent negative signs in the middle. The two negative signs are to be multiplied, which then produces one positive sign.
Choice B is therefore correct because the expression becomes 6+6 which is 6 to the right of the number line where the numbers are increasing.
Choice D is also equally correct because the addition of 6 to 6 equals 12(6+6 = 12).
320 is the correct answer
A ton weighs 2000 pounds, so if you were to take 6 tons, it will be 12000 pounds.
