Number 16 5. The average American adult eats an average of 6.5 gallons of ice cream per year. Assume theamount of ice cream eaten is normally distributed with a standard deviation of 2.3 hours. Find theprobability that a randomly selected adult eats between 4.0 and 9.0 gallons of ice cream per year.6. You have a pool of 10 women and 16 men, and you need to form an 8-member team made up offour women and four men. In how many ways can you do this?1. You need to select a three-character password for a new online bank account. The rules are: youcan use any uppercase letter A-Z, any lowercase letter a - z, and any of the ten digits 0-9.Repetitions are not allowed. How many different three-character passcodes can you create?8. A survey determines that six out of every ten Niceville residents shop at Walmart. In a group or 10randomly selected Nicevillians, find the probability that at least eight of them shop at Walmart.9. A medical journal reports that the likelihood of having a headache during any single week is 0.035 .Find the probability of having at least one headache during a year (1 year = 52 weeks).10. The average number of minutes per week that teenagers spend texting is 240.0. Assume the standarddeviation is 72.0 minutes. A random sample of 64 teenagers is taken. Find the probability that themean number of minutes teenagers in this sample spend reading books is between 230.0 and 250.0.11. A random sámple of 25 four-person families visiting Disneyworld was selected, and the averageamount spent by these families on their Disneyworld visit was $724.00. The population standarddeviation is $90.25. Find the 90% confidence interval for the true population mean. Express theinterval endpoints to the nearest cent.12. In a sample of 500 Canadians, 275 say they would rather retire in the US than in Canada. Calculatethe 95% confidence interval for the true proportion of Canadians who would rather retire in the US.13. Use Z-scores to determine which is a better relative golf score (remember that in golf, lower scoresare better): Shooting a 75 in Tournament A where the mean score is 73 and the standard deviation is3.3; or shooting a 76 in Tournament B where the mean score is 74 and the standard deviation is 3.5.14. A researcher claimed that for people that smoke cigarettes, the average number of cigarettes smokedper day is greater than 9. To test her claim, she selected a random sample of 36 smokers and foundthe mean number of cigarettes smoked per day was 10. The standard deviation of the population is2.5 cigarettes. At a = 0.05, conduct all steps of a hypothesis test to test the researcher's claim.15. A Harris Poll statistician stated that 35% of people drink coffee to combat midday drowsiness. Arecent survey was taken, and found that 19 out of 48 randomly selected people drank coffee tocombat midday drowsiness. At a = 0.02, conduct all steps of a hypothesis test to test the claim ofthe Harris Poll statistician.16. A recent study of 20 individuals found that the average number of therapy sessions these personsrequired to recover from shoulder surgery was 9.6, with a standard deviation of 2.8. A senaratestudy of 25 individuals found that the average number of sessions these persons required to recoverfrom hip surgery was 10.3 , with a standard deviation of 2.3. Assume the population variances are

Name: Number 16 5. The average American adult eats an average of 6.5 gallons
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Description: Number 16 5. The average American adult eats an average of 6.5 gallons of ice cream per year. Assume theamount of ice cream eaten is normally distributed with a standard deviation of 2.3 hours. Find theprobability that a randomly selected adult eats