# Statistics Review

Submitted By amrs1212
Words 927
Pages 4
Use the information below to answer Questions 1 through 4.

Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we perform the following hypothesis test.

Null Hypothesis [pic]

Alternative Hypothesis [pic]

1. What is the test statistic?

2. At a 5% significance level (95% confidence level), what is the critical value in this test? Do we reject the null hypothesis?

3. What are the border values in terms of the sample mean between acceptance of Ha and rejection of this hypothesis (Ho)? (note you will have a value less than the mean and a value greater than the mean since a tool tailed test. Draw it out for yourself but drawing not required in the test just the range of values).

4. What is the power of this test if the assumed true mean were 690 instead of 700?

Questions 5 through 9 involve rolling of dice.

5. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a “6” each time?

6. What is the probability of getting a “6” on the second roll when you get a “6” on the first roll?

7. The House managed to load the die in such a way that the faces “2” and “4” show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a “6” when rolling this loaded die?

8. Write the probability distribution for this loaded die, showing each outcome and its probability. Also plot a histogram to show the probability distribution.

9. We know that for a fair die, the most frequent sum in two rolls is seven. What is the most frequent sum for this loaded die?

Use the data in the table to answer Questions 10 through 12.

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