Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 News New York. According to the report, two women filed suit against their previous employer, a prominent New York nightclub, after the two aspiring petite actresses, 5ft. 3in and 5ft. 4in. respectively, were fired for being too short to meet the club's image requirement. The report also claims that these two waitresses "are both roughly the same size as the average American woman at 5ft. 3in. tall." Suppose that the height of a randomly selected adult woman is approximately normal with mean 66 inches and standard deviation 2.5 inches.
Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 News New York. According to the report, two women filed suit against their previous employer, a prominent New York nightclub, after the two aspiring petite actresses, 5ft. 3in and 5ft. 4in. respectively, were fired for being too short to meet the club's image requirement. The report also claims that these two waitresses "are both roughly the same size as the average American woman at 5ft. 3in. tall." Suppose that the height of a randomly selected adult woman is approximately normal with mean 66 inches and standard deviation 2.5 inches.
Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 News New York. According to the report, two women filed suit against their previous employer, a prominent New York nightclub, after the two aspiring petite actresses, 5ft. 3in and 5ft. 4in. respectively, were fired for being too short to meet the club's image requirement. The report also claims that these two waitresses "are both roughly the same size as the average American woman at 5ft. 3in. tall." Suppose that the height of a randomly selected adult woman is approximately normal with mean 66 inches and standard deviation 2.5 inches.
"Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 News New York. According to the report, two women filed suit against their previous employer, a prominent New York nightclub, after the two aspiring petite actresses, 5ft. 3in and 5ft. 4in. respectively, were fired for being too short to meet the club's image requirement. The report also claims that these two waitresses "are both roughly the same size as the average American woman at 5ft. 3in. tall."
Suppose that the height of a randomly selected adult woman is approximately normal with mean 66 inches and standard deviation 2.5 inches.
Find the minimum height requirement that would exclude 95% of all women from being waitresses at this nightclub. Round your answer to one place after the decimal: inches.
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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