Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ = 5500
H1 : μ > 5500
The test statistic assume normal distribution :
Test statistic :
(Xbar - μ) ÷ s/sqrt(n)
(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143
Pvalue from test statistic :
The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083
α = 0.05
Since ;
Pvalue < α
0.025083 < 0.05 ; Reject H0
The confidence interval :
Xbar ± Tcritical * s/sqrt(n)
Tcritical at 95% = 1.761 ;
margin of error = 1.761 * 226.1/sqrt(15) = 102.805
Lower boundary : (5625.1 - 102.805) = 5522.295
(5522.295 ; ∞)
The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500
Options 1, 3 and 5. The true statements based on the fact that c and d are parallel are:
- m<3 = m<6 = 98 degrees
- m<4 = m<8 = 82degrees
- m<5 = m<8 = 82 degrees
<h3>How to solve for the angles </h3>
The sum of the angles m<4 + m<3 = 180
m<4 + 82 = 180
m<4 = 180 - 82= 98
From the question we have the first as alternate interior angles. The second is corresponding angles and the last option is vertical angles.
Read more on angles here:
brainly.com/question/26033691
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Answer: 50%
Step-by-step explanation:
There are 2 sides to a coin. If you divide 100 by 2, you get 50%. A 6-sided die has 6 sides. If you divided 100 by 6, you get 16.6666666667%. Since there are only 3 even numbers on a 6-sided die, you would multiply 3 by 16.6666666667% to get 50%. So, the probability you will flip a heads and roll an even number is a 50% chance.
Solve both equations 1/2x + 5y = 6 becomes y = -1/10x + 5/6 and 3x +30y = 36 becomes y = -1/10x + 36/30. Since both equations have the same slope..1/10 the lines are going to be parallel since the constant is different 5/6 vice 36/30. They will never cross.
