Answer:
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
Step-by-step explanation:
The data given is
Population mean μ= $ 7.18
Population variance= σ²= 3.81
Population Standard Deviation = √σ²= √3.81= 1.952
Sample Mean= x`= $ 8.02
Sample Standard Deviation =s = $ 2.08
Sample Size = 15
Significance Level = ∝= 0.05
The null and alternate hypotheses are
H0: σ1=σ2 against the claim that Ha: σ1≠ σ2
where σ1 is the population variance and
σ2 is the sample variance
The rejection region is Z ≥ ±1.96 for two tailed test at ∝= 0.05
The test statistic z is used
z= x`- μ/ σ/√n
Putting the values
Z= 8.02-7.18/1.952/√15
z= 0.84/0.51599
z= 1.6279
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
Let the number be y.
One third of y = (1/3)*y = y/3
This is decreased by 6; y/3 - 6
And it equals 8
That means:
y/3 - 6 = 8
y/3 = 8 + 6
y/3 = 14
y = 3*14
y = 42
The number is 42.
I hope this helps.
3 parts blue and 2 parts red equals 5 parts. 40 pints divided by 5 parts equals 8. So 3 parts blue x 8 =24 parts blue. 2 parts red is 16 and 24 plus 16 does equal 40
The one opposite the largest side, or Q
Answer:
455
Step-by-step explanation:
(1/2(10)(70))13
