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2434-Statistics II-2526_T4

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Consider the following hypothesis test:

  • H₀: μ ≥ 50
  • H₁: μ < 50

where μ represents the true mean WH in the population.

Based on the sample data provided, is there sufficient statistical evidence to reject the null hypothesis at a significance level α = 0.05?

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Based on the data available, would you compute a 99% margin of error for the proportion of female working Remotely?

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Use the sample to test Ho: π=0.60 vs H1: π≠0.60, π being the proportion of females that work in a Hybrid environment

The p-value

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A one-sided hypothesis test was conducted for the population mean Age, with the alternative hypothesis defined as H₁: μ > μ₀.

The resulting p‑value was equal to 0.05.

What is the corresponding critical value ?

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The 95% Margin of Error for YoExp μ 

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Can you compute a 95% Confidence Interval for JobS μ ?

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In order to increase the proportion of explained variation of Pleasure, a dummy variable, Female, expressing Gender (1 for Female, 0 for Male) was added as an explanatory variable to the model described in Question 16

 

Using a common level of significance it is true that

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A new model was considered:

(Good and Blended being dummy variables that identify the students that have a Good background in statistics and the ones that prefer the blended method)

With α=0.10, besides stating that the Understanding level significantly increases Pleasure, I would also state that Pleasure level is significantly 

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A Regression Analysis was run with a sample of size 40 to validate the following simple model

with the following estimates (some information is missing):

Is the model significant with α=0.05 ?

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The coefficient of correlation between Pleasure and the Bernoulli variable that identifies Statistics III students, computed with the sample of size 40 is 0.04.

We ran an ANOVA with the same sample in order to test Ho: μStatisticsIII = μStatisticsII

Infer about the p-value of this ANOVA.

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