The conclusion of the research is that we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
<h3>How to solve hypothesis testing?</h3>
We are given;
Population Mean; μ = 426
Sample mean; x' = 433
Sample size; n = 13
Standard deviation; s = 29
significance level; α = 0.05
Let us define the hypotheses;
Null Hypothesis; H₀: μ = 426 g
Alternative Hypothesis; H_a: μ < 426 g
Formula for the z-score here is;
z = (x' - μ)/(s/√n)
z = (433 - 426)/(29/√13)
z = 0.87
From online p-value from z-score calculator, we have;
p-value = 0.1922
This p-value is greater than the significance value and as such we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
Read more about Hypothesis testing at; brainly.com/question/15980493
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Explanation:
Answer:
18 is the sum of the two integers.
Explanation:
65 is divisible by 4 numbers: 1, 5, 13, and 65.
Meaning 65 x 1 = 65 and 13 x 5 = 65.
So in this case, add 13 and 5 which equals 18.
18 is the sum of the two integers.
Please like if this helped :)
First, we want to solve for b.
In order to solve for b, we plug in x=6 and f(x)=7 into the equation, since we know f(6)=7
7 = (3/2)(6) + b
7 = 9 + b
Subtract both sides by 9
b = -2
Now, let's insert this value into the equation
f(x) = (3/2)x - 2
Now, plug in x = -2 into the equation to calculate f(-2)
f(-2) = (3/2)(-2) - 2
= -3 -2
= -5
Thus, your answer is A.
Have an awesome day! :)