The average triglyceride level of adult males is 126 milligrams per deciliter. You want to determine whether the true mean male
triglyceride level is more than the average. You decide to pull a random sample of eight adult males and measure their triglyceride level. You find the sample mean is 127.9 milligrams per deciliter and the standard deviation is 4.12 milligrams per deciliter. What are the test statistic and the p-value?
1 answer:
Answer: The test statistic is 1.30 and the p-value is 0.1167.
Step-by-step explanation:
A test statistic is a random variable which is calculated from sample data and also used in a hypothesis test. It can also be used to know whether to reject the null hypothesis.
The test statistic is 1.30 and the p-value is 0.1167. The solution is attached below
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Answer:
See explanation
Step-by-step explanation:
If then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so
and
Angles 1 and 3 are supplementary, so
Angles 2 and 4 are supplementary, so
By substitution property,
Hence,
Consider triangles APX and BPY. In these triangles:
- given;
- given;
- proven,
so by ASA postulate.
Congruent triangles have congruent corresponding sides, then
Therefore, triangle APB is isosceles triangle (by definition).