Question

5. Roll the die another 40 times and calculate the value of x. Sample Mean Observation (= second observation of X): 6. Now write your two X values (one from question 2 and one from question 5). Comment on the values.

Answer 1

5. The 40 outcomes on rolling a dice are

3231346151515244634523236514125331454132

The sample mean of the observation is

= (sum of all the outcomes)/40

= 128/40

= 3.2

6. The value of $\overline{X}$ from question 2 is not known. The value from question 5 is 3.2.

7. The probability that $\overline{X}$ takes a value less than 3.35 is

$P(\overline{X} < 3.35)$

$\bg_white P(\frac{\overline{X} - \mu}{\sigma/\sqrt{n}} < \frac{3.35 - 3.5}{\sqrt{2.083}/\sqrt{40}})$

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