# 200 Final Exam

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STAT 200 Final Exam Fall OL2 Click Link Below To Buy: http://hwaid.com/shop/stat-200-final-exam-fall-ol2/ 1. True or False. Justify for full credit. (15 pts) (a) If the variance of a data set is zero, then all the observations in this data set are zero. (b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.9. (c) Assume X follows a continuous distribution which is symmetric about 0. If , then . (d) A 95% confidence interval is wider than a 90% confidence interval of the same parameter. (e) In a right-tailed test, the value of the test statistic is 1.5. If we know the test statistic follows a Student’s t-distribution with P(T < 1.5) = 0.96, then we fail to reject the null hypothesis at 0.05 level of…show more content…
As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? (5 pts) (b) Find the probability that that she returns at least 1 of the 10 serves from her opponent. (Show work) (10 pts) 17. What is the probability that a randomly selected mature jalapeño fruit is between 1.5 and 4 inches long? (5 pts) 18. Find the 90th percentile of the jalapeño fruit length distribution. (5 pts) 19. If a random sample of 100 mature jalapeño fruits is selected, what is the standard deviation of the sample mean? (5 pts) 20. A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population standard deviation of the lifetime is 500 hours. Construct a 95% confidence interval estimate of the mean lifetime. Show all work. Just the answer, without supporting work, will receive no credit. (8 pts) 21. Consider the hypothesis test given by 5.0: 5 .0: 10  pH p H In a random sample of 100 subjects, the sample proportion is found to be . 55.0ˆ  p (a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no