Answer:
B. Since P-value is greater than the significance level, we fail to reject the null hypothesis
Explanation:
Given Significance Level is 0.05 and the P-Value is 0.078
Since P-value greater than the significance level the best explanation is given by
Option B i.e.,
Since P-value is greater than the significance level, we fail to reject the null hypothesis
Answer:

The third reading must be between 6.3 and 8.1 inclusive.
Step-by-step explanation:
To find the average of three numbers, add the three numbers and divide by 3.
Let the third reading = p.
The average of the three readings is

This average must be between 7.2 and 7.8 inclusive. "Inclusive" means that the values 7.2 and 7.8 are allowed. That means the average must be greater than or equal to 7.2 and less than or equal to 7.8. We can write this as the following inequality.

Simplify the numerator.

Multiply the three sides by 3.

Subtract 15.3 from the three sides.

Answer: The third reading must be between 6.3 and 8.1 inclusive.
The error that Bryan has done in this inequality is that he included –14 in his solution set.
<h3>How to point out the mistake made</h3>
What Bryan has to do would be to write this inequality in such a way that the variable would appear on the left.
But the symbol that he has chosen does not move in this same direction as the graph.
The -14 should not be inclusive in the graph because it is not a part of the graph solution.
He used the wrong number in this inequality.
Read more on inequalities here:
brainly.com/question/24372553
#SPJ1
Answer:
The solution for k is the interval (-3.5,1.5)
Step-by-step explanation:
we have



![}[1-k]x^{2}+3x-(3+k)=0](https://tex.z-dn.net/?f=%7D%5B1-k%5Dx%5E%7B2%7D%2B3x-%283%2Bk%29%3D0)
we know that
If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions
The discriminant is equal to

In this problem we have
a=(1-k)
b=3
c=-(3+k)
substitute

so

solve the quadratic equation by graphing
The solution for k is the interval (-3.5,1.5)
see the attached figure