Triglycerides Triglycerides are a form of fat found in the body. Using data from NHANES, we looked at whether men have higher triglyceride levels than women. Report the sample means, and state which group had the higher sample mean triglyceride level. Refer to the Minitab output in figure (A). Carry out a hypothesis test to determine whether men have a higher mean triglyceride level than women. Refer to the Minitab output provided in figure (A). Output for three different alternative hypotheses is provided—see figures (B), (C), and (D)—and you must choose and state the most appropriate output. Use a significance level of 0.05 .
Triglycerides Triglycerides are a form of fat found in the body. Using data from NHANES, we looked at whether men have higher triglyceride levels than women. Report the sample means, and state which group had the higher sample mean triglyceride level. Refer to the Minitab output in figure (A). Carry out a hypothesis test to determine whether men have a higher mean triglyceride level than women. Refer to the Minitab output provided in figure (A). Output for three different alternative hypotheses is provided—see figures (B), (C), and (D)—and you must choose and state the most appropriate output. Use a significance level of 0.05 .
Solution Summary: The author explains that the sample mean triglyceride level of men and women is 139.5, which is higher than that of women.
Triglycerides Triglycerides are a form of fat found in the body. Using data from NHANES, we looked at whether men have higher triglyceride levels than women.
Report the sample means, and state which group had the higher sample mean triglyceride level. Refer to the Minitab output in figure (A).
Carry out a hypothesis test to determine whether men have a higher mean triglyceride level than women. Refer to the Minitab output provided in figure (A). Output for three different alternative hypotheses is provided—see figures (B), (C), and (D)—and you must choose and state the most appropriate output. Use a significance level of
0.05
.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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