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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Based on the information given, it should be noted that a 95% confidence means we are at least 95% sure that the true value of proportion will lie in the interval.
<h3>
What does the confidence level mean?</h3>
When we repeat the sampling 100 times and draw a confidence Interval for each one of them, at least 95 confidence intervals will contain the true value of the proportion. This is what we mean by being 95% confident
Also, when we have a random sample of 5. It implies that the condition of randomness is met and they are independent as well. Since the sample size is very small, the condition of a large sample is not satisfied.
Learn more about confidence level on:
brainly.com/question/15712887
Think about something that means a lot to you not to personal but something you take pride in or believe in. And frankly do what makes your self happy. Hope this helps!!!! :)
Answer:
Context is needed to answer this question
Explanation:
