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:
5 * 5 = 25 and 6 * 6 = 36 :)
Step-by-step explanation:
32 is between 5 * 5 = 25
and also between 6 * 6 = 36
those are both perfect squares
i hope this helps
Hello!
Let's change it to an equation.
Switch the equation around
First add 10 from 900
Divide both sides by 5
Answer:
f(x) = (x+6)² - 10
Step-by-step explanation:
To write the equation in vertex form we, we need to use completing square method.
f(x) = x²+ 12x + 26 = (x² + 2*x*6 + 6²) - 6² + 26 = (x+6)² -36 + 26 =
= (x+6)² - 10
f(x) = (x+6)² - 10
Answer:
the answer 3.25
Step-by-step explanation:
