Answered: The output was determined lightbulbs…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Transcribed Image Text:The lumen output was determined for each of I = 3 different brands of lightbulbs having the same wattage, with J = 7 bulbs of each brand tested. The sums of squares were computed as SSE = 4775.3 and SSTR = 599.3. You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question. State the hypotheses of interest (including word definitions of parameters). O μ, = sample average lumen output for brand i bulbs H₁: M₁ = μ₂ = 13 Ha: all three μ's are unequal O μ₁ = sample average lumen output for brand i bulbs Ho: M₁ H₂ H3 Ha: all three μ's are equal O μ₁ = true average lumen output for brand i bulbs но: М1 =H2= из Ha: at least two μ's are unequal O μ = true average lumen output for brand i bulbs Ho: H₁ H₂ H3 Ha: at least two μ's are equal Use the F test of ANOVA (a = 0.05) to decide whether there are any differences in true average lumen outputs among the three brands for this type of bulb by obtaining as much information as possible about the P-value. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value> 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There are statistically significant differences in the lumen output. O Fail to reject Ho. There are statistically significant differences in the lumen output. O Fail to reject Ho. There are no statistically significant differences in the lumen output. O Reject Ho. There are no statistically significant differences in the lumen output.

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