SHORT ANSWER. Answer all questions. For hypothesis s testing,() state the hypoth

Question

SHORT ANSWER. Answer all questions. For hypothesis s testing,() state the hypotheses, (i) calculate the test statistic, (ii) state the rejection rule, and (iv) properly conclude. (Total 20 Mark Question 1 (4 points) A machine press manufacturer is comparing orders coming from different regions in the country and has collected the following data from 24 orders. EastSouth Midwest West North 6 6 5.2 3.7 6.3 4.9 6.4 Mean Variance 7.5 3.0 5.8 2.2 1.8 Grand mean 6.2 1. Complete the ANOVA Table. Show all steps. (2 pts) DF Sums of Squares Mean Squares F statistic Source of variation Between groups (treatments)

Explanation / Answer

Solution1:

Solution2:

F=1.070

p=

0.398519

p>0.05

Do not reject H0.

She cannot conlcude at the 1% significance level that the mean orders differs amng 5 regions.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance East 4 30 7.5 3 South 6 35 5.833333 2.166667 Midwest 5 26 5.2 3.7 West 5 32 6.4 1.8 North 4 25 6.25 4.916667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 12.75 4 3.1875 1.070324 0.398519 4.500258 Within Groups 56.58333 19 2.97807 Total 69.33333 23

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