Activity1: Formulate the null and alternative hypotheses. Identify whether it is one-tailed or two tailed. If the hypothesis is one-tailed, identify its direction whether left or right. Write your answer on a separate sheet of paper.Note: You need to provide 3 answers (null hypothesis, alternative hypothesis, and ___-tailed test) for each question. 4.The mean work week for engineers in a new company is believed to be about 40 hours. A newlyhired engineer hopes that it is shorter. She asks 10 engineering friends for the lengths of theirmean work weeks. Based on the results, should she count on the mean work week to be shorterthan 40 hours?5.Mr. Vincenzo reports that an operator spends less than 5minutes in order to finish a singleproduct. A sample of 25 operators at the Yamashita Department showed a mean of 4.3 minuteswith a standard deviation of 1.6minutes.6.Ms. Belinda, president of GOLD Battery Manufacturer, claims that the batteries they producedlast an average of at most 190hours under normal condition. Mr. Eduarte, a researcher, decidedto randomly select 33 batteries from the production line and tested them. The result of hisexperiment shows that the tested batteries had an average life span of 160 hours with standarddeviation of 35hours.7. A recent survey says that Filipino children spend an average of 4hr a day playing computergames with standard deviation of 30min. A random sample of 9 children is taken from a normallydistributed population of children who spend an average of 3.5hr playing computer games.Using the 1% level of significance, would you conclude that the statement in the survey iscorrect?8. A workout program states that there is an average weight loss of 12 pounds (lb) for those whoenrol in the program for two months. Another work out program advertises greater weight lossand was tested with a group of 30 volunteers who averaged 13lb weight loss after two months,with standard variation of 2.5lb. Does the second workout program offer a higher average weightloss effect? Test the hypothesis at a significance level of 5%.9.It is assumed that the mean IQ is 100. In a study conducted by a researcher, a sample of 16people had an average of 90 with standard deviation of 15. Is the group significantly differentfrom the regular population? Use a = 0.10.10. A researcher wants to determine if review sessions affect the performance of students in exams.A review session is administered to a sample of 25 students and after the examination, a samplemean of 43 is calculated with a standard deviation of 8. From previous examinations, it wasidentified that the population mean for the same exam is 40. Can the professor conclude thatthe review session is effective in improving exam performance?

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