REMOTE FA 22 ASSIGNMENT # 22 CRITICAL VALUE HYPOTHESIS TESTING Due Date: November 18 42 points NAME SEECTION For each problem 1 - 3, a) What is the null hypothesis? What is the alternate hypothesis? Will we use a left-tailed, right- talled, or two-tailed test? What is the level of significance? (4 pts) b) What is the critical value (s) za> ?(2 pts) c) Sketch the distribution and show the critical value (s).(3 pts) d) Calculate the test statistic and show its location on your sketch. ( 3 pts) e) Based on your answers for parts a to d, shall we reject or fall to reject the null hypothesis? Explain your conclusion is simple nontechnical terms. (2 pts) 1. Homesafe Associates Real Estate, Inc. advertises the mean selling time of a residential home is 40 days after it is listed with the company. A sample of 49 recently sold residential homes showed a mean selling time of 45 days and a sample standard deviation of 20 days. Using a 1% level of significance, does it take longer in the present market to sell a house? a) b ) itil MacBook AirE Normale Titola 2. According to the U.S. Census Bureau, the mean family size was 3.19. A sample of 900 families taken this year gave a mean family size of 3.10 with a standard deviation of 0.7. Test at the 5% level if the mean family size has changed during this period. (note; not specify smaller or larger) a) bj c ) d) e) MacBook Air3. Weatherwise is a magazine published In association with the American Meteorological Society. In the January issue there is a rating system to classify Nor'easter storms that frequently hit New England states and can cause much damage near the ocean coasts. A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement plers. Suppose that a sample of 36 peak waves showed an average wave height of 15.1 feet with a sample standard deviation of 3.2 feet. Using a level of significance of 1%, does this Information indicate that the storm is retreating? (note; if storm is retreating what is happening to the height of the waves?) c) MacBook Air