e have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 660. If the pooled variance is 225, then what is the absolute value of the standardized test statistic for our data?
e have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 660. If the pooled variance is 225, then what is the absolute value of the standardized test statistic for our data?
e have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 660. If the pooled variance is 225, then what is the absolute value of the standardized test statistic for our data?
We are running a hypothesis test to see if weight of African zebras is significantly different than that of Arabian horses. We assume weight in both populations is normally distributed and both populations have the same population variance in weight which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras with mean 650 and a sample of size 16 for the Arabian horses with mean 660. If the pooled variance is 225, then what is the absolute value of the standardized test statistic for our data?
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
Step 1
Following information is given:
The sample size of African zebras (population A) = 9
The sample size of Arabian horses (population B) = 16
Sample mean weight of African zebras = 650
Sample mean weight of Arabian horses - 660
Pooled variance (s2p) = 225
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