The mean work week for engineers in a start-up company is believed to be about 56 hours. A newly hired engineer hopes that it's shorter. She asks 10 engineering friends in start-ups for the lengths of their mean work weeks. Their responses are 70; 45; 55; 60; 65; 55; 55; 60; 50; 55. Is the newly hired engineer testing a mean or a proportion? mean proportion The null hypothesis, in symbols, is μ=μ=. Is the test left-tailed, right-tailed, or two-tailed? left-tailed right-tailed two-tailed
The mean work week for engineers in a start-up company is believed to be about 56 hours. A newly hired engineer hopes that it's shorter. She asks 10 engineering friends in start-ups for the lengths of their mean work weeks. Their responses are 70; 45; 55; 60; 65; 55; 55; 60; 50; 55. Is the newly hired engineer testing a mean or a proportion? mean proportion The null hypothesis, in symbols, is μ=μ=. Is the test left-tailed, right-tailed, or two-tailed? left-tailed right-tailed two-tailed
The mean work week for engineers in a start-up company is believed to be about 56 hours. A newly hired engineer hopes that it's shorter. She asks 10 engineering friends in start-ups for the lengths of their mean work weeks. Their responses are 70; 45; 55; 60; 65; 55; 55; 60; 50; 55. Is the newly hired engineer testing a mean or a proportion? mean proportion The null hypothesis, in symbols, is μ=μ=. Is the test left-tailed, right-tailed, or two-tailed? left-tailed right-tailed two-tailed
The mean work week for engineers in a start-up company is believed to be about 56 hours. A newly hired engineer hopes that it's shorter. She asks 10 engineering friends in start-ups for the lengths of their mean work weeks. Their responses are 70; 45; 55; 60; 65; 55; 55; 60; 50; 55.
Is the newly hired engineer testing a mean or a proportion?
mean
proportion
The null hypothesis, in symbols, is μ=μ=.
Is the test left-tailed, right-tailed, or two-tailed?
left-tailed
right-tailed
two-tailed
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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