Name: Student ID: MATH 331.001: LAB 2 You must INCLUDE ALL CODE to receive full

Question

Name: Student ID: MATH 331.001: LAB 2 You must INCLUDE ALL CODE to receive full credit. Messy work will be dexducted 5 points. 1. (Exercise 1.8.1): An experiment is conducted to determine the optimal time and temperature combination for baking a cake. The response variable of interest is taste. Four batches of eake will be baked separately at each combination of of baking times (25 and 30 minutes) and temperature settings (275° F, 300°F ,325° F). (a.) What are the experimental units? Dee ) What are the factors in this experiment? /Te«l-rD ne , ; g (e.) State the levels of each factor. 7 e~,--aas r (d.) Describe the random variable associated with this experiment. (Continued from Exercise 1.8.1) The cakes were given a rating from 1-5 based on the taste where 1 is poor and 5 is exemplary. The average temperature/time combination ratings are as follows 2. 275°F 300°F 325 F 20 min 1.75 3.4 3.8 M t-30 min | 2.75 | 4.1 | 2.1 Insert your results into R Studio. . Display your ratings in both a comparative bargraph and a stacked bargraph. Based on your findings, which do you think is the best temperature/time combi- nation. Why? r,s

Explanation / Answer

1)

a)

The experimental units are average temperature/time combinations.

Since these are values that represents the optimal time and temperature combinations for baking a cake.

b)

The factors are baking times and temperature settings.

c)

The levels of baking times factor is 2 such that 20 mins and 30 mins.

The levels of temperature settings is 3 such that 275, 300 and 325 degrees F.

d)

The random variable is the taste.

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