Two brands of car batteries, both carrying 6-year warranties, were sampled and tested under controlled conditions. Five of each brand fail the number of months shown. Calculate a) both sample means and b) both sample standard deviations. Decide c) which brand battery las and d) which brand has the more consistent lifetime. Brand A: 66, 73, 64, 76, 71 0 Brand B: 71, 65, 63, 61, 67
Two brands of car batteries, both carrying 6-year warranties, were sampled and tested under controlled conditions. Five of each brand fail the number of months shown. Calculate a) both sample means and b) both sample standard deviations. Decide c) which brand battery las and d) which brand has the more consistent lifetime. Brand A: 66, 73, 64, 76, 71 0 Brand B: 71, 65, 63, 61, 67
Two brands of car batteries, both carrying 6-year warranties, were sampled and tested under controlled conditions. Five of each brand fail the number of months shown. Calculate a) both sample means and b) both sample standard deviations. Decide c) which brand battery las and d) which brand has the more consistent lifetime. Brand A: 66, 73, 64, 76, 71 0 Brand B: 71, 65, 63, 61, 67
a both sample means and b) both sample standard deviations. Decide c) which brand battery lasts and d which brand has the more consistent lifetime.
Transcribed Image Text:Two brands of car batteries, both carrying 6-year warranties, were sampled and tested under controlled conditions. Five of each brand failed
the number of months shown. Calculate a) both sample means and b) both sample standard deviations. Decide c) which brand battery lasts
and d) which brand has the more consistent lifetime.
Brand A: 66, 73, 64, 76, 71 Q
Brand B: 71, 65, 63, 61, 67
Transcribed Image Text:a) What are the sample means?
ХА
b) What are the sample standard deviations?
XB
=
SA =
SB =
(Round to the nearest hundredth as needed.)
c) Which brand battery apparently lasts longer?
Brand B
Brand A
d) Which brand battery has the more consistent lifetime?
Brand A
Brand B
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 + ...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
