For each scenario the last sentence is statistically incorrect. Rewrite the sentence making only small
changes that still explain what the author should have been trying to say.
1. A hypothesis test examined whether the average age of a UW student was equal to 25
years. The p-value was 0.32. Thus we conclude that the true average age of all UW
students really is 25 years old.
2. A regression analysis on temperature verses stress level found an R2 of 0.90. That means
that 90% of the temperatures can be explained by stress level
3. A 95% confidence interval for the average number of calories a person eats in a day was
(1800, 2977). That means that 95% of the time the average will be between 1800 and 2977
calories.
4. A study of 500 children in grade school found a prediction equation for math scores as a
function of age. My age is 34, and using this equation my math score should be 540%!
5. A hypothesis test for a difference in the number of shoes owned by each gender found a
p-value of 0.03. That means that 3% of the time the gender will explain the shoes.
6. Regression on profit verses age of the CEO found a p-value of 0.84 with an R2 of 0.85. That
tells us that we can predict the profit easily based on the age of the CEO
7. The R2 for height vs weight was 0.99 with a p-value of 0.01. Since the slope was positive
that tells us that if you gain more weight, your height will increase.
8. The distribution for the price of a math textbook has a standard deviation of $10. That
means that 68% of all math textbooks are within $20 of each other.
9. A hypothesis test examined whether there was a relationship between height and salary.
The p-value was 0.02 with R2=0.03. This means that we can easily predict your salary based
on your height.
10. A hypothesis test examined whether genetically modified apples are more likely to give you
cancer than regular apples. The percentage of cancer incidents doubled with the genetically
modified apples, going from 0.002% to 0.004%. This leads us to conclude that genetically
modified apples are dangerous and should be banned from the US.