In: Statistics and Probability
1) What is the population standard deviation of the given data: 12, 13, 17, 10, 8, 6 to the nearest tenth
2) We roll a die 54 times. How many 6s should we expect?
3) We want to test a new drug, and we want to ensure that all age groups are represented. To do this, we split up the general population into age groups, and then select randomly within each group. State what type of sampling this is and support your answer.
4) We have a group of families whose annual incomes are normally distributed with a mean of $45,000 and a standard deviation of $11,000. What percentage of these families has an annual income between $29,600 and $53,800?
5) We roll 5 six-sided die. What is the probability of obtaining exactly two 1s?