What is the measure of the longest side?
1 answer:
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Answer:
We fail to reject the null hypothesis that the bag filling machine works correctly at the 420 gram setting at the level of significance of 0.1. The p-value of the test statistic is 0.0250
Step-by-step explanation:
We have the following null and alternative hypothesis
vs
lower-tail alternative.
For n = 24, and
.
is normally distributed with a mean
and a standard deviation of
(approx). Therefore, we can use as test statistic
and the observed value is
p-value = P(Z < -1.9596) = 0.0250
We can use a table from a book or a programming language to find this probability P(Z < -1.9596).
You can use the instruction pnorm(-1.9596) in the R statistical programming language.
Because the p-value is greater than 0.1 (0.0250 > 0.1) we fail to reject the null hypothesis at the level of significance of 0.1.