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2434-Statistics II-2526_T4

2434-Statistics II-2526_T4

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We want to investigate if Satisfaction is GPA dependent, BUT we want to do it using a Contingency Analysis (categorizing the variables)!

What is your expectation for Q if you consider a common α?

greater than the critical value

❌

smaller than the critical value

✅

View this question

Using this model

what is the best estimate for a Female Satisfaction level ?

between 3.5 and 4.5

above 5.5

below 3.5

between 4.5 e 5.5

Run an ANOVA to find out if Satisfaction is Surfer dependent.

What are your findings (using α=0.10) ?

Satisfaction seems to be independent from Surfer

✅

p-value=1

❌

Surfer and non Surfer are independent

❌

none of the others

❌

View this question

Do you think Satisfaction is Gender dependent (use α=0.01)?

If I run a Linear Regression Analysis, the F test statistic is lower than the critical value so YES

❌

If I run an ANOVA. the p-value is greater than α, so NO.

❌

If I run a Contingency Analysis, the p-value is smaller than α, so NO.

❌

none of the others

✅

View this question

Focus on Satisfaction and these H0: μ ≤ 5 vs H1: μ >5.

What are your findings ?

we cannot perform this test

p-value < 0.05

p-value > 0.05

p-value = 0.05

Focus on GPA and consider α=0.10.

The Margin of Error for μ

cannot be computed

is approx. 0.35

is approx. 0.42

Consider this model

estimated with a different sample than the original, using α=0.10.

What is the best Satisfaction estimate, for a student with GPA=2.0 ?

greater than 4.7

lower than 4.5

between 4.0 and 4.7

This model was considered to investigate if the level of Satisfaction is Gender dependent:

The best estimate for Female Satisfaction is

6.72

-2.93

Focus on this model

r² was computed and found to be 0.36.

If you categorize GPA into 3 different levels and run an ANOVA to test Ho: μ_LowGPA= μ_MedGPA= μ_High_GPA where μ stands for Satisfaction mean value, what are your expectations for the p-value ?

< 0.10

= 0.10

> 0.10

Still about this model

regarding Ho: β₁=0, the test statistic was computed: t=2.59.

β₁ estimate is

negative

❌