Please help with the following assignment (will give helpful rating):
1. A. 2. c. It For each of the following, state the null and alternative hypotheses, the Type I and Type II errors associated with the hypotheses, and the oonsequenoes of each error. le decision to implement changes in the current math program at a junior high in ligcity will be based on a sample of students' scores on a standardized math exam. If the average is less than the statewide average of so, all math teachers will have to participate in a workshop to revise the curriculum. {1 point} . Expensive Clothing, Inc. thinks it had a good year and wants to reward its customers. In a typical year, sales are $75 per customer. If a random sample of this year's sales indicate a better than average year (average sales per customer are higher than $15}, a $10 ooupon will be given out for two weeks to each customer who spends at least $75. {1 point} . Too Many Pets. a pet store, is oonoerned about its dogs. The store has enough supplies on hand to maintain an estimated instore average of 10 dogs a day. The store wants to know whether its average dog population is actually 1!: a day or some other number. If their original estimate is lnoorrect the store will have to invest in research to determine the actual average and decide how to accommodate the change. (1 point] Use this scenario to answer the following questions. Colored Wax s Co. sells candles with a mean burn time of 50 minutes. The company wants to test its candles' burn time against a oompetitor's candles. Researchers from Colored Want 51 Co. randomly select 25 candles from its competitor for testing. From previous research. the staff of Colored Wait E. Co. knows that a = 12.5 . Colored Wax l to. wants to test a two-sided alternative hypothesis with or I .05. What are the null and alternative hypotheses for this test? (2 points) What's the probability of a Type I error in this test? (1 point) Describe a Type I error for Hui ii 8 ill. {1 point} What is the rejection region (for what values of 3? will Ha be reiacted) for How a so? [2 points) Describe a Type II error for Ho : .u - Ill. {1 point} Suppose the mean burn time is actually 53 minutes. Find the possibility of a Type II error {,8} and the power of the test. (3 points} :0 Use this scenario to answer the following questions. Ms. Fitness-Buff. a high school gym teacher, wants to propose an aenschool tness program. To get an idea of the tness level of the students at her school, she takes a random sample of TS studenE and reoords the number of hours we students exercised in the past week. Her sample mean is 2.25 hours and she knows from past research that the population standard deviation is 2 hours. She wants to know if this varies from a population mean of 3 hoursfweek. Construct a 95% oonfidenoe interval. {2 points) Draw a conclusion for a two-sided test at a I .05. (1 point) He. Fitness-Buff ls told that if students exercise less than 3 hours per week, she can start an after-school tness program. Test this one-sided hypothesis and draw a oonoluslon at a I .05. (2 points] What would the oonsaquenoes oir a Type I error be In the test from part C? (1 point} What's the probability of a Type I error for the test In part C? (1 point] What would the oonsaquenoes of a Type I] error be for the test from part C? (1 point} What is the rejection region for Hg: ,u I 3 for the test from part 1:? {1 point} Calculate the probabllltv of melting a Type II error If the true population mean is 2.7!. (2 points) What's the power of the test If the true population mean is 2.75? [1 point)
