What is the best point estimate for the mean age at first birth in the population?
Transcribed Image Text:In the 2018 General Social Survey, a random
sample of 1666 adults in the U.S. was asked
how old they were when they had their first
child. The average age at first birth for this
sample was 24.3, with a standard deviation
of 5.74. Use these data to calculate a 95%
confidence interval for the mean age at first
birth in the population, and answer the
following questions based on those
calculations.
What is the best point estimate for the mean
age at fırst birth in the population?
O 24.3
5.74
1666
.95
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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