During a certain week, the mean price of gasoline in the New england region was $3.796 per gallon. A random sample of gas station is selected from this population what is the probability that the mean price for the smoke was between $3.781 and $3.811 that week? SECTER 5NORMAL PROBABILITY DISTRIBUTIONS29. Gas Prices: New England During a certain week, the mean price of gasolinein the New England region was $3.796 per gallon. A random sample of32 gas stations is selected from this population. What is the probability thatthe mean price for the sample was between $3.781 and $3.811 that week?Assume o =$0.045. (Adapted from U.S. Energy Information Administration)30. Gas Prices: California During a certain week, the mean price of gasolinein California was $4.117 per gallon. A random sample of 38 gas stationsis selected from this population. What is the probability that the meanprice for the sample was between $4.128 and $4.143 that week? Assumeo = $0.049. (Adapted from U.S. Energy Information Administration)31. Heights of Women The mean height of women in the United States (ages20-29) is 64.2 inches. A random sample of 60 women in this age group isselected. What is the probability that the mean height for the sample isgreater than 66 inches? Assume o = 2.9 inches. (Adapted from NationalCenter for Health Statistics)32. Heights of Men The mean height

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During a certain week, the mean price of gasoline in the New england region was $3.796 per gallon. A random sample of gas station is selected from this population what is the probability that the mean price for the smoke was between $3.781 and $3.811 that week?

SECT
ER 5
NORMAL PROBABILITY DISTRIBUTIONS
29. Gas Prices: New England During a certain week, the mean price of gasoline
in the New England region was $3.796 per gallon. A random sample of
32 gas stations is selected from this population. What is the probability that
the mean price for the sample was between $3.781 and $3.811 that week?
Assume o =
$0.045. (Adapted from U.S. Energy Information Administration)
30. Gas Prices: California During a certain week, the mean price of gasoline
in California was $4.117 per gallon. A random sample of 38 gas stations
is selected from this population. What is the probability that the mean
price for the sample was between $4.128 and $4.143 that week? Assume
o = $0.049. (Adapted from U.S. Energy Information Administration)
31. Heights of Women The mean height of women in the United States (ages
20-29) is 64.2 inches. A random sample of 60 women in this age group is
selected. What is the probability that the mean height for the sample is
greater than 66 inches? Assume o = 2.9 inches. (Adapted from National
Center for Health Statistics)
32. Heights of Men The mean height

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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