Number of Farms A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with 99% confidence. Assume o = 31. Use a graphing calculator and round the answers to one decimal place. Assume the population is normally distributed. 15 21 52 6 78 109 40 50 29 80 8 90 3 49 4 44 79 80 48 16 68 7 Send data to Excel 23.6T
Number of Farms A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with 99% confidence. Assume o = 31. Use a graphing calculator and round the answers to one decimal place. Assume the population is normally distributed. 15 21 52 6 78 109 40 50 29 80 8 90 3 49 4 44 79 80 48 16 68 7 Send data to Excel 23.6T
Number of Farms A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with 99% confidence. Assume o = 31. Use a graphing calculator and round the answers to one decimal place. Assume the population is normally distributed. 15 21 52 6 78 109 40 50 29 80 8 90 3 49 4 44 79 80 48 16 68 7 Send data to Excel 23.6T
I using a TI-83 and my n and x is not adding up to get the correct mean.
Transcribed Image Text:Number of Farms A random sample of the number of farms (in thousands) in various states follows. Estimate the mean
number of farms per state with 99% confidence. Assume o = 31. Use a graphing calculator and round the answers to one
decimal place. Assume the population is normally distributed.
15
21
52
6
78
109 40
50
29
80
8
90
3
49
4
44
79
80
48
16
68
7
Send data to Excel
23.6T<u< 64.7
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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