Research reveals that last year the per capita consumption of wine in Vatican City was the highest in the world. Assume that it was normally distributed with a mean of 75 liters/year and a standard deviation of 15 liters/year.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. for a consumption of 90 liters of wine/year what wouls be the corresponding z-score (in whole number)

Research reveals that last year the per capita consumption of wine in Vatican
City was the highest in the world. Assume that it was normally distributed with
a mean of 75 liters/year and a standard deviation of 15 liters/year.
Transcribed Image Text:Research reveals that last year the per capita consumption of wine in Vatican City was the highest in the world. Assume that it was normally distributed with a mean of 75 liters/year and a standard deviation of 15 liters/year.
A luxury hotel in Hong Kong considers using a digital education module for
training a large number of new employees in basic service skills. In order to
evaluate the effectiveness of the digital education module, the training
manager tests a random sample of 30 trainees before the training starts. The
same trainees are evaluated with a final test after completing the digital
education module. Both tests are graded on a 50-point scale (where 50 points
is the maximum score).
The data in your Excel worksheet (available in the "Data Section 3" tab)
represent the test scores obtained by the 30 randomly sampled trainees before
and after the training. Each line represents a "matched pair", i.e. one and the
same trainee who has been tested before and after the training.
The training manager would like to demonstrate that the use of the digital
module is effective, i.e. she would like to show that trainees achieve higher
scores after the training than before. She asks you to conduct an appropriate
test.
Considereing what the training manager would like to demonstrate, what would be the
correct set of null and alternative hypotheses in this case?
(Assume that D stands for the difference and D is defined as Scoreafter - Score before)
Ho: D = 0; H₂: D # 0
O b. Ho: D>= 0; H₂D <0
Oc. Ho: D <= 0; H₂: D > 0
O d. Ho: D>= 0; H₂: D > 0
a.
Please enter the critical t-value of your test here.
Round to 2 digits after the decimal point.
Example: A result of 2.6849 should be entered as 2.68.
Answer:
Transcribed Image Text:A luxury hotel in Hong Kong considers using a digital education module for training a large number of new employees in basic service skills. In order to evaluate the effectiveness of the digital education module, the training manager tests a random sample of 30 trainees before the training starts. The same trainees are evaluated with a final test after completing the digital education module. Both tests are graded on a 50-point scale (where 50 points is the maximum score). The data in your Excel worksheet (available in the "Data Section 3" tab) represent the test scores obtained by the 30 randomly sampled trainees before and after the training. Each line represents a "matched pair", i.e. one and the same trainee who has been tested before and after the training. The training manager would like to demonstrate that the use of the digital module is effective, i.e. she would like to show that trainees achieve higher scores after the training than before. She asks you to conduct an appropriate test. Considereing what the training manager would like to demonstrate, what would be the correct set of null and alternative hypotheses in this case? (Assume that D stands for the difference and D is defined as Scoreafter - Score before) Ho: D = 0; H₂: D # 0 O b. Ho: D>= 0; H₂D <0 Oc. Ho: D <= 0; H₂: D > 0 O d. Ho: D>= 0; H₂: D > 0 a. Please enter the critical t-value of your test here. Round to 2 digits after the decimal point. Example: A result of 2.6849 should be entered as 2.68. Answer:
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