Manufacturer A B C D 25 23 25 26 23 21 25 27 21 23 25 26 23 24 21 24 To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA on the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at α = 0.05. Question 16 options: None of the answers are correct. The data provide weak evidence against H0: Equal means at pvalue 0.072. Equality of means remains plausible. The data provide strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal. The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal. The data provide extreme evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal. The pvalue 0.0001 is extreme evidence that the machines are not all the same.
Manufacturer A B C D 25 23 25 26 23 21 25 27 21 23 25 26 23 24 21 24 To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA on the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at α = 0.05. Question 16 options: None of the answers are correct. The data provide weak evidence against H0: Equal means at pvalue 0.072. Equality of means remains plausible. The data provide strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal. The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal. The data provide extreme evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal. The pvalue 0.0001 is extreme evidence that the machines are not all the same.
Manufacturer A B C D 25 23 25 26 23 21 25 27 21 23 25 26 23 24 21 24 To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA on the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at α = 0.05. Question 16 options: None of the answers are correct. The data provide weak evidence against H0: Equal means at pvalue 0.072. Equality of means remains plausible. The data provide strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal. The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal. The data provide extreme evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal. The pvalue 0.0001 is extreme evidence that the machines are not all the same.
To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA on the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at α = 0.05.
Question 16 options:
None of the answers are correct.
The data provide weak evidence against H0: Equal means at pvalue 0.072. Equality of means remains plausible.
The data provide strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal.
The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal.
The data provide extreme evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal.
The pvalue 0.0001 is extreme evidence that the machines are not all the same.
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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