Question

A commercial bakery's ovens are designed to bake cakes at a temperature of 350.0 °F. The ovens are calibrated so that their temperatures should be normally distributed with a mean of 350.0 °F and a standard deviation of 4.4 °F. During a recent inspection, the bakery's quality control supervisor selected a random sample of 12 ovens and recorded their temperatures. She recorded her summary statistics in the following table.

test of ?=350.0 vs ?≠350.0the assumed standard deviation=4.4significance level of ?=0.05test of μ=350.0 vs μ≠350.0the assumed standard deviation=4.4significance level of α=0.05

Sample size	Sample mean	Standard error
?n	?⎯⎯⎯x¯	SE
12	347.7 °F	1.27017 °F

Complete the analysis by calculating the ?-valueP-value and making the decision. Give the ?-valueP-value precise to at least four decimal places.

The supervisor wants her results to be statistically significant at a level of ?=0.05α=0.05. Use the data provided and the ?-valueP-value you calculated to fill in the blanks and complete the sentences that form the supervisor's conclusion.

?=P=

The decision is to                          the                         hypothesis. There is                         evidence that the ovens'

mean temperature is                                            °F.

you calculated to fill in the blanks and complete the sentences that form the supervisor's conclusion. The decision is to the hypothesis. There is evidence that the ovens' mcan temperature is °F. Answer Bank null 0.05 reject insufficient sufficient accept fail to reject 350.0 1.27017 347.7 alternative 4.4 less than not equal to equal to greater than

Answer 1

10 test, Ho: M= 350 vs HA: " # 350 Given, e = 347.7 &=4.4, n=12 Test statistic, Incã-plo) v 12 ( 347.7 - 350) ta s 4.4 => t=-1.81078039 N - 1.811 t=-10811 0.0975 P-value = 0.09750810 Po value = 0.0975 Sinces P-value ya we Ho. fail to reject our fail to reject null sufficient 350.0 equal to

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