ANOVA Table and Hypothesis Testing

1. Given the following partial ANOVA Table:

Source of

Variation Sum of Squares df Mean Square F value



Treatments 2

Error ??? 20 ???

Total 500 11

Assume a .05 level of significance. Fill the ones in red.

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3. The management of white Industries is considering a new method of
assembling its three-wheel golf cart. The present method requires 42.3
minutes on the average to assemble a cart. The new method was
introduced, and a time and motion study was conducted on a random sample
of 24 carts. The mean assembly time was computed to be 40.6 minutes.
The standard deviation of the sample was 2.7 minutes. Using the .10
level of significance, can it be said that the assemble time under the
new method is significantly less than before?

a. State the Null and Alternate Hypothesis:

H0:_____________________________________________________



H1:______________________________________________________

b. Show the decision rule graphically:

State and calculate the test statistic:

15. The general form of a regression equation with a single
independent variable is:

d. Do you reject or fail to reject the Null Hypothesis? What do you
conclude from the analysis?