1.<\/p>\n
The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 32 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.<\/p>\n
What is the distribution of XX? XX ~ N(,)
\nWhat is the distribution of \u00afxx\u00af? \u00afxx\u00af ~ N(,)
\nWhat is the probability that one randomly selected person drinks between 16.6 and 17.2 ounces of coffee per day?
\nFor the 32 people, find the probability that the average coffee consumption is between 16.6 and 17.2 ounces of coffee per day.
\nFor part d), is the assumption that the distribution is normal necessary? YesNo
\nFind the IQR for the average of 32 coffee drinkers.
\nQ1 = ounces
\nQ3 = ounces
\nIQR: ounces<\/p>\n
2.<\/p>\n
The amount of syrup that people put on their pancakes is normally distributed with mean 65 mL and standard deviation 7 mL. Suppose that 9 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.<\/p>\n
What is the distribution of XX? XX ~ N(,)
\nWhat is the distribution of \u00afxx\u00af? \u00afxx\u00af ~ N(,)
\nIf a single randomly selected individual is observed, find the probability that this person consumes is between 65.8 mL and 67.9 mL.
\nFor the group of 9 pancake eaters, find the probability that the average amount of syrup is between 65.8 mL and 67.9 mL.
\nFor part d), is the assumption that the distribution is normal necessary? NoYes
\n3.<\/p>\n
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 110 and a standard deviation of about 55. Assume forty-nine individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.<\/p>\n
What is the distribution of \u00afxx\u00af? \u00afxx\u00af ~ N(,)
\nFor the group of 49, find the probability that the average number of friends is more than 109.
\nFind the third quartile for the average number of Facebook friends.
\nFor part b), is the assumption that the distribution is normal necessary? YesNo<\/p>\n
4.<\/p>\n
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.7 ppm and standard deviation 1.3 ppm. 38 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.<\/p>\n
What is the distribution of XX? XX ~ N(,)
\nWhat is the distribution of \u00afxx\u00af? \u00afxx\u00af ~ N(,)
\nWhat is the probability that one randomly selected city’s waterway will have less than 10 ppm pollutants?
\nFor the 38 cities, find the probability that the average amount of pollutants is less than 10 ppm.
\nFor part d), is the assumption that the distribution is normal necessary? NoYes
\nFind the IQR for the average of 38 cities.
\nQ1 = ppm
\nQ3 = ppm
\nIQR: ppm<\/p>\n
5.<\/p>\n
The average score for games played in the NFL is 21.3 and the standard deviation is 9.1 points. 17 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.<\/p>\n
What is the distribution of \u00afxx\u00af? \u00afxx\u00af ~ N(,)
\nWhat is the distribution of \u2211x\u2211x? \u2211x\u2211x ~ N(,)
\nP(\u00afxx\u00af < 23.0894) =
\nFind the 69th percentile for the mean score for this sample size.
\nP(18.1894 < \u00afxx\u00af < 23.3036) =
\nQ1 for the \u00afxx\u00af distribution =
\nP(\u2211x\u2211x > 358.5198) =
\nFor part c) and e), is the assumption of normal necessary? YesNo<\/p>\n
6.<\/p>\n
The average amount of money that people spend at Don Mcalds fast food place is $7.5400 with a standard deviation of $1.8500. 11 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution.<\/p>\n
What is the distribution of XX? XX ~ N(,)
\nWhat is the distribution of \u00afxx\u00af? \u00afxx\u00af ~ N(,)
\nWhat is the distribution of \u2211x\u2211x? \u2211x\u2211x ~ N(,)
\nWhat is the probability that one randomly selected customer will spend less than $7.8333?
\nFor the 11 customers, find the probability that their average spent is more than $7.8333.
\nFind the probability that the randomly selected 11 customers will spend more than $86.1663.
\nFor part e) and f), is the assumption of normal necessary? NoYes
\nThe owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 11 people who spend the most money. At least how much must a group of 11 spend in total to get the free sundae? $<\/p>\n
7.<\/p>\n
A computer selects a number XX from 0 to 5 randomly and uniformly. Round all answers to 4 decimal places where possible.<\/p>\n
What is the distribution of XX? XX ~ U(,)
\nSuppose that the computer randomly picks 37 such numbers. What is the distribution of \u00afxx\u00af for this selection of numbers. \u00afxx\u00af ~ N(,)
\nWhat is the probability that the average of 37 numbers will be more than 2.8?<\/p>\n
———–<\/p>\n
1.<\/p>\n
People’s daily coffee consumption is normally distributed, with a mean of 17 ounces and a standard deviation of 7 ounces. A total of 32 people are surveyed at random. If possible, round all answers to four decimal places.<\/p>\n
What is XX’s probability distribution? XX N XX N XX N XX N XX (,)<\/p>\n
What is the probability distribution of xx? xx N (,)<\/p>\n
What is the chance that one randomly chosen person drinks 16.6 to 17.2 ounces of coffee per day?<\/p>\n
Calculate the probability that the average coffee consumption for the 32 people is between 16.6 and 17.2 ounces per day.<\/p>\n
Is it necessary to assume that the distribution is normal for part d)? YesNo<\/p>\n
Calculate the IQR for a group of 32 coffee drinkers.<\/p>\n
ounces = Q1<\/p>\n
ounces = Q3<\/p>\n","protected":false},"excerpt":{"rendered":"
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