Answer:
Option a) Compare the level of significance to the confidence coefficient.
Step-by-step explanation:
We are given the following information in the question:
We are performing a two-tailed test hypothesis. We can follow the following approaches:
Option a) Compare the level of significance to the confidence coefficient.
This cannot be used to perform hypothesis.
Option b) Compare the value of the test statistic to the critical value.
If the test statistic lies in the acceptance region evaluated by the critical value, we accept the null hypothesis. If not, we reject the null hypothesis.
Option c) Compare the confidence interval estimate of μ to the hypothesized value of μ.
If the estimated population lies in the calculated confidence interval, we accept the null hypothesis otherwise, we reject the null hypothesis.
Option d) Compare the p-value to the value of α.
If the p-value is greater than the significance level, we accept the null hypothesis. If it is lower than the significance level, we reject the null hypothesis.
Answer:
x=0, x= -9
Step-by-step explanation:
First we simplify the equation into the form
ax^{2}+bx+c=0
By adding 4x+3 on both sides, we form the equation
x^{2}+9x=0
Now, we factor out the common factor: x.
x(x+9)=0
The only values that allow x(x+9) to be equal to 0 are:
x=0 or
x+9=0
The solutions are x=0 or x= -9
Answer:
The constant of proportionality is the number of kilograms that will stretch the spring by 1 inch. When y = 1, x = 1/3, so the constant of proportionality in kilograms per inch is 1/3.
269 armies have higher than 5600 goblin soldiers .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that X>5600 is equal to the blue area under the curve.
Step 2:
Since μ=5600 and σ=750 we have:
P ( X>5600 ) = P ( X−μ > 5600−5600 )=P ( X−μ/σ>5600−5600/750)
Since Z = x−μ/σ and 5600−5600/750=0 we have:
P ( X>5600 )=P ( Z>0 )
Step 3: Use the standard normal table to conclude that:
P (Z>0)=0.5
We have , 538 armies So , armies have higher than 5600 goblin soldiers is :
⇒ 
⇒ 
Therefore , 269 armies have higher than 5600 goblin soldiers .
