Problem Set 8 | Assignments | Introduction to Probability and Statistics | Mathematics

Problem Set 8 Answer Checker

Work on the assigned problems in the associated Problem Set PDF file, then use the problem set checker to find out if the answer was correct or incorrect. To check your answers put them in the appropriate box and click the 'Check' button. Every checker box can do arithmetic and calculate standard functions (see calculator help). If you give decimal answers, give them to at least 3 decimal places.

As you work you should have pencil and paper handy for calculations and thinking!

Note: some questions ask for a formula. For the checker we ask you to plug a value into the formula. For your pset you still need to give the whole formula.

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Problem 1.

(a) Hint: the rejection region is one-sided.

(a.i) Give smallest value in the rejection region

(a.ii) Give largest value in the rejection region

(a.iii) Give the $p$ -value

(b.i) Give smallest value in the rejection region

(b.ii) Give the $p$ -value

(d) No online check

(e) No online check

Problem 2.

(i) Give value of the

X^2

test statistic

(ii) Give the $p$ -value

Problem 3.

(You only need to use one of the $G$ or $X^2$ statistics.)

(i) Give the $G$ statistic

(ii) Give value of the $X^2$ test statistic

(iii) Give the $p$ -value to 5 decimal places

Problem 4.

(a) Give the

p

-value

(b.i) Give the $F$ -statistic

(b.ii) Give the $p$ -value

Problem 5.

(a.i) Give the

F

-statistic

(a.ii) Give the $p$ -value to 5 decimal places

(b) To compare all of the means two at a time requires how many tests?

Comparing 10-day growth vs. clean shaven:
(c.i) Give the $t$ -statistic

(c.ii) Give the one-sided $p$ -value to 5 decimal places

Comparing 10-day growth vs. 5-day growth:
(c.iii) Give the $t$ -statistic

(c.iv) Give the one-sided $p$ -value to 5 decimal places

Comparing 10-day growth vs. full beard:
(c.v) Give the $t$ -statistic

(c.vi) Give the one-sided $p$ -value to 5 decimal places