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= -9.375. 0.06x-0.14x=13.48-12.73. -0.08x=0.75
Answer:
x + y = 84
Step-by-step explanation:
Given
x : y : z = 5 : 1 : 3, then
= 5 ( multiply both sides by y )
x = 5y ←
and 
= 
( cross- multiply )
3y = z
Substitute z = 3y into z - y = 28
3y - y = 28
2y = 28 ( divide both sides by 2 )
y = 14 ← ←
Substitute y = 14 into x = 5y
x = 5 × 14 = 70 ← ←
Substitute y = 14 into z - y = 28
z - 14 = 28 ( add 14 to both sides )
z = 42 ← ←
Thus x = 70, y = 14 and z = 42
Hence x + y = 70 + 14 = 84
Answer:
34 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between adjacent and opposite sides of a right triangle and the trig function of the associated angle. Here, the relevant relation is ...
Tan = Opposite/Adjacent
tan(10°) = (height of lifeguard)/(distance from shore)
Then the distance from shore is ...
distance from shore = (height of lifeguard)/tan(10°) ≈ (6 ft)/(0.17633)
distance from shore ≈ 34 ft
Answer:
Check the explanation
Step-by-step explanation:
Scatter plot
x---square feet
y---rent
SolutionA:
Kindly check the attached image below:
THERE EXISTS A WEAK POSITIVE RELATIONSHIP BETWEEN SQUARE FEET AND RENT .
AS SQUARE FEET INCREASES RENT INCREASES
SolutionB:
Rent=0.4932(squarefeet)+992.99
slope=m=0.4932
Y intercept=992.99
SolutionC:
Interpretation of slope:
slope =m=change in rent/change in square foot
For a unit increase in square feet rent increases by 0.4932
Interpretation of y intercept:
when square feet=0 rent is 992.99
Solutiond:
when squarefeet=800
Rent=0.4932(squarefeet)+992.99
=Rent=0.4932(800)+992.99
=1387.55
