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1 answer:
- We have given two figures that rectangle and parallelogram
- The base and height of parallelogram is 7ft and 5ft
- The length and breath of rectangle is 3ft and 1ft .
- We have to find the area of shaded part?
Firstly, we will calculate the area of parallelogram then area of rectangle after that we will subtract the area of rectangle from the area of parallelogram then we got the area of shaded part.
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Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:
At the alternative hypothesis, it is tested if the mean is different, hence:
The test statistic is:
In which:
is the sample mean.
is the value tested at the null hypothesis.
is the standard deviation of the population.
- n is the sample size.
The parameters for this problem are:
.
Hence:
z = -2.1
<h3>What is the p-value and the conclusion?</h3>Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.
Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.
More can be learned about the z-distribution at brainly.com/question/16313918
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