In an era of increased awareness of the need for energy conservation, it is of i
ID: 3135138 • Letter: I
Question
In an era of increased awareness of the need for energy conservation, it is of interest to find out, when preparing a roast, what the consequences are of thawing a frozen roost before cooking and preheating the oven. The purpose of this 2 Times 4 factorial experiment is to provide some answers. The data are in the following table. The factors and levels are: Factor 1 (OVEN): level 1, not preheated (NOT PRE) level 2, preheated (PRE). Factor 2 (COND): level 1, fresh meat (ERESH) level 2,frozen meat (FROZEN) level 3, frozen, thawed for 12 h (12-THAW) level 4, frozen, thawed for 24 h (24- THAW). Starling with 40 roasts of the same size and configuration, five were randomly assigned to each of the eight factor level combinations. Each roust was crated until the internal temperature reached 160 degree F. The response is loud fuel requirement (GAS). It is required from you to Enter the data to R Define the factor levels Plot the profile plot. Implement the analysis of variance Locate the p-values Write the null and alternate hypotheses Compare the p-values with the 10% of significance level. Take a decision pertaining to the null hypothesis. Comment on the result in terms of the problem.Explanation / Answer
(NULL Hypothesis) H0 : Their is no effect of factor 1 on the observations
(Alternative hypothesis) H1: Effect of factor 1 is their on observations
As F value is lerss than F critical so we fail to accept the NULL hypothesis
(NULL Hypothesis) H0 : Their is no effect of factor 2 on the observations
(Alternative hypothesis) H1: Effect of factor 2 is their on observations
As F value is more than F critical so we reject the NULL hypothesis
(NULL Hypothesis) H0 : Their is no interaction between of factor 1 and factor 2
(Alternative hypothesis) H1: Interaction between factor 1 and factor 2 exist
As F value is more than F critical so we reject the NULL hypothesis
Anova: Two-Factor With Replication SUMMARY FRESH FROZEN 12-Thaw 24-THAW Total NOT PRE Count 5 5 5 5 20 Sum 107.5 132.5 121.18 115.59 476.77 Average 21.5 26.5 24.236 23.118 23.8385 Variance 14.25565 1.1395 12.98153 1.67567 9.808203 PRE Count 5 5 5 5 20 Sum 73.48 133.93 122.25 119.42 449.08 Average 14.696 26.786 24.45 23.884 22.454 Variance 29.81463 22.15583 12.2573 5.56643 37.05712 Total Count 10 10 10 10 Sum 180.98 266.43 243.43 235.01 Average 18.098 26.643 24.343 23.501 Variance 32.44635 10.3762 11.22998 3.381699 ANOVA Source of Variation SS df MS F P-value F crit Sample 19.1684 1 19.1684 1.535829 0.224252 2.869259 Columns 392.7015 3 130.9005 10.48813 5.84E-05 2.263453 Interaction 98.35351 3 32.7845 2.626791 0.067226 2.263453 Within 399.3862 32 12.48082 Total 909.6095 39Related Questions
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