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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Since you already have the equation, all you need to do is pick two values of x.
For example, when x = 0, you get y = 7/4(0) + 2 = 2. So the line passes through the point (0, 2). When x = 4 (picked to cancel the 4 in the fraction), you get y = 7/4(4) + 2 = 9, so the line also passes through the point (4, 9).
You can describe an entire line by any two points that it contains. So plot these two points, then connect the dots with a line passing through them both.
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