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:
Step-by-step explanation:
We are given the equation:
Which has roots α and β.
And we want to express (α + 1)(β + 1) in terms of <em>a</em>, <em>b</em>, and <em>c</em>.
From the quadratic formula, we know that the two solutions to our equation are:
Let <em>x</em>₁ = α and <em>x₂ </em>= β. Substitute:
Combine fractions:
Rewrite:
Multiply and group:
Difference of two squares:
Expand and simplify:
Distribute:
Cancel like terms:
Factor:
Cancel. Hence:
Therefore: