Question;Writing Hypotheses;Read;the situation. Then write the hypotheses in correct mathematical;notation. Do not conduct any statistical tests. Just write the;hypotheses. Insert your answers between the problems.;Here are some things to keep in mind;1) On the Hypothesis Testing Worksheet, all you need to do is write the null and alternative hypotheses for each situation.;2) The null hypothesis will always be ?=?.;3) You can use either "?" or ?not =? for ?does not equal?. Greater than and less than is ?>? or ? ? or ? (one tailed test).;5);When determining what the null and alternative hypotheses are, realize;that the alternative is the new information, what you are trying to;prove. The null is what has been believed to be true up until now.;==================================================================;1);A bowler who has averaged 196 pins in the past year is asked to;experiment with a ball made of a new kind of material. He rolls several;games with the new ball. Has the new ball improved his game?;2);An advertisement claims that chewing NoCav gum reduces cavities. To;test the claim, you conduct a study in which participants who chew the;gum are compared to the national average of 3 cavities found per year.;3);In a speech to the Chamber of Commerce, a city councilman claims that;in his city less than 15% of the adult male population are unemployed.;An opponent in the upcoming election wants to test the councilman?s;claim.;4);The councilman is starting to get worried about the upcoming election.;He has enjoyed 63% support for several years, but the political climate;has been changing. He wants to know if his support has changed.;5);A production process is considered to be under control if the machine;parts it makes have a mean length of 35.50 mm with a standard deviation;of 0.45 mm. Whether or not the process is under control is decided each;morning by a quality control engineer who bases his decision on a random;sample of size 36. Should he ask for an adjustment of the machine on a;day when he obtains a mean of 35.62 mm?;6);Jim, the owner of Jim?s Grocery, knows that Plain Chips have always;outsold Spicy chips. However, sales of Spicy chips have been increasing.;Jim wants to determine if the average weekly sales of Spicy chips have;indeed surpassed that of Plain chips.;7);Jim now wants to know if Plain and Spicy chips have the same percentage;of defective product (i.e. underfilled bags, torn bags, wrong flavor in;the bags, etc.).;8);The Great Vehicle Co. just introduced New SUV, claiming it can pull;more weight than Old SUV. After testing 150 vehicles of each model, Old;SUV had a mean pull weight of 5032 pounds with a standard deviation of;72 pounds. New SUV had a mean pull weight of 5462 pounds with a standard;deviation of 154 pounds. Is the claim valid at a.05 level of;significance?;9);The Great Vehicle Co. has a competitor, Amazing Autos, that claims;people who purchase its competing vehicle, the Sport Off Road Vehicle;(SORV), have higher customer satisfaction than New SUV. Out of 736;people who purchased the SORV last month, 534 said they were satisfied.;Out of 521 people who purchased New SUV last month, 375 said they were;satisfied. Is there a higher percentage of people who are satisfied with;the SORV than with New SUV?;10);The Great Vehicle Company wants to counter Amazing Autos?s claim by;making its own claim that New SUV has a lower percentage of defective;vehicles. The research team tested 536 vehicles of each model and found;that SORV had 53 defective units, while New SUV had only 51 defective;units.;Statistics Problems;1) Ask 10 people (try to get 5 males and 5 females) the following questions;A) Their ages;B) How many vitamins they take daily;C) How many carbonated sodas they drink each day;D) How many alcoholic beverages they drink per month;E);Write your own question. Ask your participants if they agree with;something or if they do something. For example, you may want to ask;them if they eat popcorn when they go to the movies or if they support a;political issue. It must be a yes/no question.;SAVE YOUR DATA- You will use the data you gathered above for the problems below and more question in future weeks.;Practice Problems;1);Use your data from above. This week assume that historically the;average person takes 3 vitamins on a daily basis. Conduct a hypothesis;test analysis to determine if 3 is still the correct average number.;Write your hypotheses in correct statistical notation. Finally use the;important numbers from your output to explain your results. Use alpha =;0.05. Post only the relevant numbers, not all of the output, then;explain your results.;2);Use your data from above. Analyze if more than 58% support an issue or;partake in an activity. (Question E above). Write the hypotheses.;Show the relevant numbers. Then explain your results. Use alpha = 0.05.
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