STAT 200 STAT200 Quiz 3 Answers (UMUC)
1. (4 points) An important component in the evaluating confidence interval and performing hypothesis test is the critical value, and the critical value depends on what distribution we should apply. Please fill in the corresponding distribution in the following table.
2. (15 points) Mimi was the 5th seed in 2014 UMUC Tennis Open that took place in August. In this tournament, she won 75 of her 100 serving games. Based on UMUC Sports Network, she wins 80% of the serving games in her 5-year tennis career.
3. (5 points) A simple random sample of 120 SAT scores has a sample mean of 1540. Assume that SAT scores have a population standard deviation of 300.
4. (5 points) Consider the hypothesis test given by
5. (6 pts) The playing times of songs are normally distributed. Listed below are the playing times (in seconds) of 5 songs from a random sample. Use a 0.05 significance level to test the claim that the songs are from a population with a standard deviation less than 1 minute.
6. (5 pts) Assume the population is normally distributed. Given a sample size of 25, with sample mean 740 and sample standard deviation 80, we perform the following hypothesis test.
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