Answer:
Correct option: Type II error.
Step-by-step explanation:
In statistical hypothesis testing two kind of errors can be committed by the researcher.
- Type I error: The probability of rejecting a null hypothesis when in fact it is true.
- Type II error: The probability of not rejecting a null hypothesis when in fact it is false.
The power of the test is defined as the probability of rejecting a false null hypothesis. It is denoted by <em>β</em>.
Then the probability of Type II error can be defined as:
P (Type II error) = 1 - <em>β</em>.
The power of the test is affected by the significance level<em>.</em>
If the significance level is less than the power is also less.
The significance level is related to the <em>p</em>-value of the test.
So the P(Correct) = 1 - <em>p</em>-value.
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
The complement of an angle is what, when added to it, equals 90 degrees (90°), so 90 - 76 = 14°
<span>5-(49/1-5)*2+9-3
= 5-(49-5)*2+ (9-3)
= 5 -44*2+ 6
= 5 -88+ 6
= -83+ 6
= -77
The final answer is -77~</span>
Let the 3 angles be x , x and x+69 degrees
3x + 69 = 180
3x = 111
x = 37 degrees
The 3 angles measure 37, 37 and 106 degrees Answer
