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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1. Scientists <u>conjectured</u> that reducing the consumption of substances that emit harmful gases would reduce pollution.
2. Jonathan was irritated by the <u>incessant</u> noise made by the loud musical procession on the street.
3. The poor farmer was in for a pleasant surprise when he <u>fortuitously</u> stumbled upon a pot of gold buried in his yard.
In this exercise, you're required to fill in the gap (blank) in the given sentences with the most appropriate word as follows:
1. Scientists <u>conjectured</u> that reducing the consumption of substances that emit harmful gases would reduce pollution.
- A conjecture is a noun and it can be defined as an opinion or conclusion that is formed without sufficient evidence, fact or proof. Thus, a conjecture is formed on on the basis of an inconclusive or incomplete information.
2. Jonathan was irritated by the <u>incessant</u> noise made by the loud musical procession on the street.
- Incessant is an adjective and it can be defined as an unpleasant thing that happens continuously without interruption. Thus, it is a word that is used to describe something that is ceaseless, unending or happens without stopping.
3. The poor farmer was in for a pleasant surprise when he <u>fortuitously</u> stumbled upon a pot of gold buried in his yard.
- Fortuitously is an adverb and it is used it describe a situation or an event that happened by chance or accidentally rather than happening intentionally.
Read more on fortuitously here: brainly.com/question/2601859
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