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- In the city of AZ, there are two supermarkets, X-Mart and Y-Mart. It is assumed that every shopper makes a purchase once a week at one of these supermarkets (not both).In a study, 100 samples of shoppers were taken over 10 weeks. From the study, it is known that if a shopper goes to X-Mart in one week, 85 people will continue to shop at X-Mart in the following week, and if a shopper goes to Y-Mart in one week, 70 people will continue to shop at Y-Mart in the following week.Create a transition probability table and matrix for this scenario, and then If in the first week Ivankov buys from X-Mart, what is the probability that Terry will buy from X-Mart in the third and fourth weeks?Muscle Tech has come up with a new plant-based protein powder and they claim that after taking this protein powder, the athletes will have a quick recovery after each session of workout. In order to verify their claim, a research group randomly selected a sample of 7 athletes. Then they were asked to participate in a customized workout program for 7 days. After each session of workout, they were given 2 scoops of Muscle Tech’s plant-based protein powder. Then they were observed for the time that would take to recover. After a gap of 7 days, those athletes were again asked to take part in a customized workout program for 7 days, and then they were observed for the time to recover without consuming any protein powder. The before and after effect (times in minutes) of consuming that protein is given below: Before 93 98 105 108 103 91 101After 99 92 105 100 101 100 94Construct a 98% confidence interval for the mean of the population paired…A researcher decides to follow a group of 8 individuals taking a specific anti-TNF drug used to treat inflammatory conditions over an 8-year period of time in a study to determine how many of them will develop an immunity to the drug and at what point in time each individual will develop an immunity to the drug. What proportion of individuals did not develop an immunity to the anti-TNF drug during the 8 years they were tracked throughout the study, assuming the study concluded at the 8-year point?
- A particular orchid species has extensions on its flowers called nectar spurs. It has been hypothesized that these spurs improve pollination by requiring long-tongued pollinators to press further against the flower in order to reach the distant nectar at the bottom of the spur. To test this, researchers shortened the spurs of 59 orchids, while leaving another 59 orchids intact as controls. After a week, they found that 10 of the shortened flowers had been pollinated, while 27 of the control flowers had been pollinated. How would you test whether there was a difference in pollination rate for shortened vs. intact flowers?A child dying from an accidental poisoning is a terrible incident. Is it more likely that male child get into poison than a female child? To find this out, data was collected that showed that out of 1830 children between the ager and four who pass from poisoning, 1031 were males and 799 were females. Do the data show that there are more male children dying of poisoning than female children,Test at the 1% level?A survey was conducted among 50 PUP students to know the brand of vaccine they had for the first 2 doses and their booster. The responses were tallied and revealed that 20 students had both Sinovac and Astrazenica while 17 has Astrazenica only and 10 had Sinovac only. How many from these students were vaccinated with Sinovac or Astrazenica?
- A study at UNG divided female graduate students into three groups and had the students perform as many push ups as possible in 60 seconds. The first group was told nothing, the second group was told to “Try as many as possible,” while the third group was told to try and increase their number each day by 5%. After a week, the number of push ups completed by each group was recorded. This is an example of an ____________________ study. Experimental or ObservationalA local jam production company is confident that 60% of the population will like its new grapefruit jelly. (i) If 200 persons taste the new grapefruit jelly, determine the number of persons who are expected to like it. [2](ii) From a random sample of 10 persons who tastedSome commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1102 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 519 passengers who flew on planes that did not recirculate air, 104 reported post-flight respiratory symptoms, while 113 of the 583 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using ? = 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest. (Use a statistical computer package to calculate the P-value. Use pdo not recirculate − pdo recirculate. Round your test statistic to two…
- In a winter with a flu epidemic, a well-known pharmaceutical company studied 2,000 babies to determine if the company's new drug was effective after two days. Among 120 babies who had the flu and were given the drug, 29 were cured within two days. Among 280 babies who had the flu but were not given the drug, 56 were cured within two days. Is there any significant indication to support the company's claim of the drug's effectiveness? Note:The exercise in the image is the original, it is in Spanish, but it is easy to understand.Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1104 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 519 passengers who flew on planes that did not recirculate air, 108 reported post-flight respiratory symptoms, while 113 of the 585 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using ? = 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest. (Use a statistical computer package to calculate the P-value. Use pdo not recirculate − pdo recirculate. Round your test statistic to two…According to one survey taken a few years ago, 32% of American households have attempted to reduce their long-distance phone bills by switching long-distance companies. Suppose that business researchers want to test to determine if this figure is still accurate today by taking a new survey of 80 American households who have tried to reduce their long-distance bills. Suppose further that of these 80 households, 22% say they have tried to reduce their bills by switching long-distance companies. Is this result enough evidence to state that a significantly different proportion of American households are trying to reduce long-distance bills by switching companies? Let α = .01. Appendix A Statistical Tables (Round your answer to 2 decimal places.) The value of the test statistic is enter the value of the test statistic and we choose between reject and fail to reject the null hypothesis .