1. SupposeP(A) = 0.57,P(B) = 0.29, and P(AB)= 0.06. What is P(Ac|B)?

[Give your numeric response to at least 3 decimal places. Give only the number, and no extra characters or symbols.]

2. Suppose researchers draw a sample of 100 individuals from a population, and carry out a t test of the null hypothesis that the true mean is 800, against the alternative hypothesis that it is greater than 800. They find a negative value of the test statistic, and a p-value of 0.73. What would the p-value have been had they used a two-sided alternative hypothesis?

(Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.)

3. Consider the following sample of 5 observations.

-3, 12, 539, 9, 17

There is one outlier. Suppose we wish to remove the outlier from the calculations and calculate the standard deviation of the remaining values. What would the value of the standard deviation be?

[Give your numeric response to *at least* 3 decimal places. Include only the number, and no other characters or symbols in your response.]

4. The following output summarizes the results of a simple linear regression of a response variable Y on an explanatory variable X.

Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 10.0890 0.1486 67.90 < 2e-16 X 1.6143 0.1459 11.06 8.37e-15

One of the values in the data set had a value of X of 1.6 and a value of Y of 12.6. What is the value of the residual associated with this observation?

(Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols. But include the minus sign if the number is negative!)