To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.Temperature 50°C60°C70°C 313027 213132 333432 362334 292735 Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of VariationSum of SquaresDegrees of FreedomMean SquareFp-valueTreatments Error Total Use a=.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.Calculate the value of the test statistic (to 2 decimals).The p-value is What is your conclusion?

Obtain the ANOVA table Use EXCEL Procedure to obtain the values Follow the instruction to obtain…

Answered: To study the effect of temperature on…

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To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.

Temperature
	50°C	60°C	70°C
	31	30	27
	21	31	32
	33	34	32
	36	23	34
	29	27	35

Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary).

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments
Error
Total

Use a=.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

Calculate the value of the test statistic (to 2 decimals).

The p-value is

What is your conclusion?

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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