Read and Understand Hina wants to discover whether the type of weather will affect the mood of the population in the city of Tokyo. She gathers data from 150 people regarding their mood using a standardized mood scale from 1 to 5. 50 people were measured during sunny weather, 50 people were measured during cloudy weather, and finally 50 people were measured during rainy weather. She then ran an ANOVA as her statistical analysis. Assuming that the ANOVA analysis was eventually successfully performed, which of the following Discussion statements is statistically correct and does not contradict the text above?

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 26PFA
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Read and Understand
Hina wants to discover whether the type of
weather will affect the mood of the population in
the city of Tokyo. She gathers data from 150
people regarding their mood using a standardized
mood scale from 1 to 5. 50 people were measured
during sunny weather, 50 people were measured
during cloudy weather, and finally 50 people were
measured during rainy weather. She then ran an
ANOVA as her statistical analysis.
Assuming that the ANOVA analysis
was eventually successfully performed,
which of the following Discussion
statements is statistically correct and
does not contradict the text above?
O
"Shapiro-Wilk test of normality on the scores
taken during the three categories of weather
are insignificant a p-value > 0.05; the data is
not normal"
"The ANOVA results are significant at p-
value < 0.1. This means that there is a 10%
chance that any change in mood is due to
random coincidence"
"Given the significant p-value < 0.1, we can
now reject the alternative hypothesis that
there was a significant difference between
the three weather types.. "
O All of the statements
Transcribed Image Text:Read and Understand Hina wants to discover whether the type of weather will affect the mood of the population in the city of Tokyo. She gathers data from 150 people regarding their mood using a standardized mood scale from 1 to 5. 50 people were measured during sunny weather, 50 people were measured during cloudy weather, and finally 50 people were measured during rainy weather. She then ran an ANOVA as her statistical analysis. Assuming that the ANOVA analysis was eventually successfully performed, which of the following Discussion statements is statistically correct and does not contradict the text above? O "Shapiro-Wilk test of normality on the scores taken during the three categories of weather are insignificant a p-value > 0.05; the data is not normal" "The ANOVA results are significant at p- value < 0.1. This means that there is a 10% chance that any change in mood is due to random coincidence" "Given the significant p-value < 0.1, we can now reject the alternative hypothesis that there was a significant difference between the three weather types.. " O All of the statements
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