Answer:
49.865%
Step-by-step explanation:
Given that:
μ = 4 ; σ = 1
For x = 4
P(x < 4) :
Z score (x - μ) / σ
P(x < 7) - P(x < 4)
((7 - 4) / 1) - ((4 - 4) / 1)
P(Z < 3) - P(Z < 0)
Usibg the Z probability calculator :
0.99865 - 0.5
= 0.49865
= 0.49865 * 100
= 49.865%
Answer:
1.) No ;
2.) - 0.931
3.) 0.1785
Step-by-step explanation:
Given :
μ = 84.3 ; xbar = 81.9 ; s = 17.3
H0 : μ = 84.3
H1 : μ < 84.3
The test statistic :
(xbar - μ) ÷ (s/√(n))
(81.9 - 84.3) / (17.3/√45)
-2.4 / 2.5789317
= - 0.9306
= - 0.931
Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44
Using the Pvalue calculator :
Pvalue(-0.9306, 44) = 0.1785
Using α = 0.05
The Pvalue > α
Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3
In this We need one more side congruent because one is common i.e FG. It is the line which is Dividing it into two triangles. The property used here is SAS or Side-angle-side Property.
