Question

Problem 2 An experiment was conducted to determine the affects of temperature on the mean yield of a chemical process. The data from the experiment (in the order collected) are shown in the following table Temperature (F) 300 550 500 300 250 375 300 250 500 550 375 500 450 375 550 450 250 450 Yield (mg) 25.0 36.3 25.9 21.8 29.4 19.6 33.2 25.1 26.2 38.3 12.7 39.1 21.8 17.5 35.1 26.3 30.5 19.3 a) Does temperature affect the mean yield? Conduct an ANOVA. Use α-0.05 to determine significance. Be sure to analyze the residuals from your ANOVA b) Which temperature(s) produced the statistically significant maximum mean yield? Use a-0.05 c) Fit an appropriate regression model relating temperature to vield. Be sure to analyze the residuals from your regression analysis d) Predict the yield for a temperature of 395 degrees e) Construct a 95% prediction interval (two tailed) for a temperature of 395 degrees

Answer 1

a) Apply One way Anova on Excel.

Group 1 = Yields at 300 Degree

Group 2 = Yields at 550 Degree

Group 3 = Yields at 500 Degree

Group 4 = Yields at 250 Degree

Group 5 = Yields at 375 Degree

Analysis of Variance Results

F-statistic value = 6.60854

P-value = 0.00356

Null Hypothesis:- Temperature does not affects yield.

Alternate Hypothesis:- Temperature affects yield

SInce P- value < 0.05, hence Null Hypothesis is true, which means Temperature does not affects yield

b)

The above chart shows Mean is highest for group 2, hence Yield is maximum at 550 degree

c)

$y\:=\:17.06\:&plus;\:0.024%u22C5x$. X    is the equation.

d) for x= 395 degrees

y = 17.06+0.024*(295) = 24.14mg

e)