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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The correct option for the statement in Spanish 'es lo que primero se ofrece en el menú' is 'aperitivo'. The word 'aperitivo' in English means appetizer.
An appetizer is a small dish containing food or a small drink served before a meal in order to stimulate appetite.
In consequence, an appetizer can be a light snack taken before the main meal.
Some examples of well-known appetizers include, among others, Chicken Enchilada Dip, Cowboy Caviar, Scallion, Caramelized Onion Dip, etc.
Learn more about appetizers here:
brainly.com/question/16006146
3x- 4y=10
10÷1=10
Therefore y is equal to 10