Show proooof, pls!!!!!!
2 answers:
Answer:
Step-by-step explanation:
The polygon is a trapezoid on its side.
The formula for the area of a trapezoid is
A = ½(a + b)h,
where a and b are the lengths of the parallel sides and h is the distance between them.
AD = a = 2 – (-2) = 2 + 2 = 4 units
BC = b = 2 – (-5) = 2 + 5 = 7 units
AB = h = 3 – (-4) = 3 + 4 = 7 units
A = ½(4 + 7) × 7 = ½ × 11 × 7 = 38.5 units²
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The p-value from the hypothesis test is 0.142 i.e., greater than the given significance level of 0.05. So, the null hypothesis is not rejected. The z-score for the given sample is 1.471.
<h3>What is the decision rule for the p-value approach to hypothesis testing?</h3>The decision rule based on p-value states,
- If p > α (significance level), then the null hypothesis is not rejected
- If p < α (significance level), then the null hypothesis is rejected in favor of the alternative hypothesis.
Since it is given that the valve would produce a mean pressure of 5.4 pounds/square inch. I.e., μ = 5.4 p/si
So, Defining the hypothesis:
Null hypothesis H0: μ = 5.4
Alternative hypothesis Ha: μ ≠ 5.4
It is given that,
The valve was tested on 24 engines. I.e., Sample size n = 24
The sample mean X = 5.7
Standard deviation σ = 1.0 and
The significance level = 0.05
Since the population distribution is approximately normal,
the test statistic is calculated as follows:
z = (X - μ)/(σ/)
On substituting the value,
z = (5.7 - 5.4)/(1.0/)
= (0.3)/0.204
= 1.471
Fron this z-score, the p-value is calculated as 0.142.
Since, the value of p > 0.05 (significance level), the null hypothesis is not rejected.
Learn more about hypothesis testing here:
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