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Use the following table for questions 1 and 2. Butterflies Red Blue Orange Yellow Collected in spring 3 2 1 24 Collected in summer 14 7 8 24 Collected in autumn 12 72 9 43 1. If you randomly select one butterfly from the table above, what is the probability of selecting a red butterfly or one collected in spring? 2. If you randomly select one butterfly collected in spring, one butterfly collected in summer, and one butterfly collected in autumn, what is the probability of selecting all yellow butterflies? 3. Determine the appropriate approach to conduct a hypothesis test for this claim: Fewer than 5% of patients experience negative treatment effects. Sample data: Of 500 randomly selected patients, 2.2% experience negative treatment effects. A) Use the normal distribution. B) Use the Student t distribution. C) Use the chi-square distribution. D) Use nonparametric or bootstrapping methods. 4. Determine the appropriate approach to conduct a hypothesis test for this claim: The systolic blood pressure of men who run at least five miles each week varies less than does the systolic blood pressure of all men. Sample data: n = 100 randomly selected men who run at least five miles each week, sample mean = 108.4, and s = 20.3 A) Use the normal distribution. B) Use the Student t distribution.
C) Use the chi-square distribution. D) Use nonparametric or bootstrapping methods. 5. Determine the appropriate approach to conduct a hypothesis test for this claim: The mean sodium content of a 30 g serving of snack crackers is 2,200 mg. Sample data: n = 130 snack crackers, sample mean= 3,100 mg, and s = 570. The sample data appear to come from a normally distributed population. A) Use the normal distribution. B) Use the Student t distribution. C) Use the chi-square distribution. D) Use nonparametric or bootstrapping methods. Use the following sample data to answer questions 6 through 12.A study of physical fitness tests for 12 randomly selected premedical students measured their exercise capacity (in minutes). The following data resulted: 25 61 23 22 24 53 33 31 23 23 63 71 6. Calculate the mean of the students’ exercise capacity. 7. Calculate the median of the students’ exercise capacity. 8. Calculate the mode of the students’ exercise capacity. 9. Calculate the standard deviation of the students’ exercise capacity. 10. Calculate a 90% Confidence Interval for the student's mean exercise capacity. 11. If premedical student Alisha has the exercise capacity of 42 minutes, convert her score to a z score among the distribution of exercise capacity above. 12. Alisha’s grandmother has an exercise capacity of 21 minutes, as measured in a similar study among Americans over seventy years old. The study sample has a mean of 15.2 minutes and a standard deviation of 7.3 minutes. Convert Alisha’s grandmother’s score to a z score among the distribution of exercise capacity in Americans over seventy years old. Who has a relatively longer exercise capacity compared to her peers—Alisha or her grandmother? 13. Choose the procedure that will allow dental patients to be researched using a binomial distribution: A) Surveying dental patients and asking them how their visit could have been made more enjoyable B) Asking dental patients as they enter the office how often they floss C) Surveying a set number of dental patients and asking them if they have dental insurance D) Asking patients as they enter the office whether they flossed before the appointment E) Surveying dental patients and asking them how their teeth feel after their appointment 14. Select the procedure that results in a Poisson distribution and explain.
F) Researching the Northern Spotted Owls' number of feedings per month G) Researching the Barred Owls' wingspan in inches H) Researching the Snowy Owls' preferred nesting locations I) Researching the Sooty Owls' longevity 15. Choose the procedure that will allow fire ants to be researched using a Poisson distribution. J) Counting fire ants per square centimeter of a mound K) Counting fire ant mounds per square kilometer throughout North America L) Surveying 2,080 North Americans to determine how many fire ant bites they have suffered in the past year M) Surveying 2,080 North Americans to determine how they feel about fire ants N) Recording the locations of fire ant mounds each year in one county over a span of 40 years