3 11 pts a hockey team is convinced that the coin

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3.(11 pts) A hockey team is convinced that the coin used to determine theorder of play is weighted for tails. The team captain steals this specialcoin and flips it 14 times to evaluate the hypothesis that the coin isweighted for tails, and it shows up tails 11 times. Test this hypothesis(use alpha=.01).
c.(1 pt) State the alternative hypothesis:The coin is weighted for tailsd.(2 pts) Find the critical value:2 and 12
e.(1 pt) Calculate the obtained statistic:11f.(2 pts) Make a decision:Retain null hypothesisg.(2 pts) What does your decision mean?The coin is not weighted fortails4.(11 pts)There are two statistics instructors who are both sought afterby students in a local college. Let’s call them instructor A and instructorB. The math department conducted a survey to find out who is morepopular with the students. In surveying 17 students, the departmentfound that 11 of the students prefer instructor B over instructor A.Using an alpha level of .05, test the hypothesis that instructor B is morepopular.a.(2 pts) What is the appropriate test?Sign testb.(1 pt) State the null hypothesis:Instructor A is more popular (B is notmore popular)c.(1 pt) State the alternative hypothesis:Instructor B is more populard.(2 pts) Find the critical value:14e.(1 pt) Calculate the obtained statistic:11f.(2 pts) Make a decision:Null hypothesis is retainedg.(2 pts) What does your decision mean?Instructor A is more popular(Instructor B is not more popular than A) (type 2 error)5.(11 pts) A farmer would like to evaluate Miracle Grow when used on hispotted daisy plants. He sets up 20 plants in a room all facing the samewindow, obtaining the same amount of sunlight, and waters themidentically each day. For a month, he monitors how much each plantgrows. Then, he adds Miracle Grow to every pot and monitors howmuch each plant grows during a month with Miracle Grow. At the end oftwo months, he discovers that 16 plants grew more with Miracle Grow.Test the hypothesis that Miracle Grow increases plant growth (using analpha level of .01).a.(2 pts) What is the appropriate test?

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Term
Spring
Professor
MARTINEZ-PONS
Tags
Statistics, Null hypothesis, Statistical hypothesis testing

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