Here are the two problems:
1.) The data below gives the number of friends for a simple random sample of Facebook users. Use a 95% confidence interval to estimate the mean number of Facebook friends.
99 148 158 126 118 112 103 111 154 85 120 127 137 74 85 104 106 72 119 160 83 110 97 193 96 152 105 119 171 128
2.)Most professional athletes will agree that resources (money, equipment, etc.) matter when it comes to success in sports. One way to measure a country's success in sports would be to count the total number of medals won by athletes from a country in the Olympics. We know that the average number of medals won by countries in the 2012 Summer Olympics was 11.4. Countries not classified as first world countries have fewer resources to aid in the training of their athletes. A random sample of countries with fewer resources was chosen and the total medal count from the 2012 Summer Olympics was recorded.
Data for problem 2:
18, 13, 20, 15, 12, 12, 10, 6, 17, 6, 7, 6, 12, 9, 11, 10, 10, 5, 8, 7, 7, 4, 4, 4, 3, 2, 4, 3, 2, 1, 1, 1, 1, 1, 6, 5, 3, 2, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1
(a) Consider the question: Do countries with fewer resources win fewer medals in the Olympics? State the null and alternative hypotheses relative to this question.
(b) Find the t test statistic.
(c) What is the P-value for your t?
(d) Is the data significant at significance level α = 0.05?