2. In the United States, the year each coin was minted is printed on the coin....
2. In the United States, the year each coin was minted is printed on the coin. To find the age of a coin, simply subtract the current year from the year printed on the coin. The ages of circulating pennies are right skewed. Most circulating pennies were minted relatively recently, and extremely old pennies are rare. Assume the ages of circulating pennies have a mean of 30 years and a standard deviation of 9.9 years.
a. Based on the information given, can we determine the probability that a randomly selected penny is over 10 years old?
b. What is the probability that a random sample of 40 circulating pennies has a mean less than 25 years?
c. What is the probability that a random sample of 40 circulating pennies has a mean greater than 25 years?
d. What is the probability that a random sample of 40 circulating pennies has a mean greater than 32 years? Would this be unusual? Why or why not?
Homework Answers
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2. In the United States, the year each coin was minted is
printed on the coin....
1.The weight of male babies less than 2 months old in the United states is normally...
1.The weight of male babies less than 2 months old in the United states is normally distributed with mean 12.5 pounds and standard deviation 5.1 pounds. use the ti 84 calculator to answer the following: round your answers to four decimal places. a) what proportion of babies weigh more then 14 pounds? b) what proportion of babies weigh less then 16 pounds? c) what proportion of babies weigh between 11 and 15 pounds? d) is it unusual for a baby...
25. Provide an appropriate response. Samples of size n-250 are randomly selected from the U.S. census...
25. Provide an appropriate response. Samples of size n-250 are randomly selected from the U.S. census data, and the median income is found for each sample. What is the distribution of the sample medians? O skewed to the left O not enough information provided O normal (approximately O skewed to the right 26. Solve the problem. In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with...
The distribution of ages of females in the United States is strongly skewed to the left with a mean of 80.2 years. A random sample of n 20 females is taken from this population and the mean ag...
The distribution of ages of females in the United States is strongly skewed to the left with a mean of 80.2 years. A random sample of n 20 females is taken from this population and the mean age of the sample is calculated. This is repeated 500 times. Which one of the following best describes the shape of the sampling distribution? 20. Cannot be determined because the standard deviation is unknown. Skewed to the left with a mean of (A)...
The heights of 20- to 29-year-old males in the United States are approximately normal, with mean...
The heights of 20- to 29-year-old males in the United States are
approximately normal, with mean 70.4 in. and standard deviation 3.0
in.
Round your answers to 2 decimal places.
a. If you select a U.S. male between ages 20
and 29 at random, what is the approximate probability that he is
less than 69 in. tall?
The probability is about_______ %.
b. There are roughly 19 million 20- to
29-year-old males in the United States. About how many are...
In a recent year, the distribution of age for senators in the United States Senate was...
In a recent year, the distribution of age for senators in the United States Senate was unimodal and roughly symmetric with mean 65 years and standard deviation 10.6 years. Consider a simulation with 200 trials in which, for each trial, a random sample of 5 senators’ ages is selected and the mean age is calculated. Which of the following best describes the distribution of the 200 sample mean ages? (A) Approximately normal with mean 65 years and standard deviation 10.6...
The life expectancy in the United States is 75 with a standard deviation of 7 years....
The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. Round all probabilities to four decimal places. What is the probability that the sample mean will be larger than 77 years? Answer What is the probability that the sample mean will be within 1 year of the population mean? What is the probability that the sample mean will be within 2.5 years of the population mean?
31. Heights of Women The mean height of women in the United States (ages 20-29) is...
31. Heights of Women The mean height of women in the United States (ages 20-29) is 64.2 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 6 Center for Health Statistics) 6 inches? Assume ơ-2.9 inches. (Adapted from National 33. Which Is More Likely? Assume that the heights in Exercise 31 are normally distributed. Are you more likely to randomly select 1...
The average age of a vehicle registered in the United States is 8 years (96 months)....
The average age of a vehicle registered in the United States is 8 years (96 months). the ages are normally distributed with a standard deviation of 16 months. Assume 7. a car is selected randomly, what is the probabilty that its age is between 91 and 102 months? b. If a random sample of 36 vehicles is taken, what is the probability that the mean of their ages is between 91 and 102 months? 8. (Check your homework notes). In...
The weights of 9 year old male children are normally distributed population with a mean of...
The weights of 9 year old male children are normally distributed population with a mean of 80 pounds and a standard deviation of 17 pounds. Determine the probability that a random sample of 26 such children has an average less than 72 pounds. Round to four decimal places. QUESTION 8 A Test has scores that are normally distributed with a mean of 71 and a standard deviation of 15. Determine the probability that a random sample of 26 test scores...
in 214 Section Hicach domow page in your blue bok Only wor k will be add must show your work where every to reveu T...
in 214 Section Hicach domow page in your blue bok Only wor k will be add must show your work where every to reveu This includes Functions that you may use in your calculo You MUST give the name of the union, AND the param o input into each function 1. Find the following areas under the standard normal curve. Round answers to four decimal a) the area to the left of 2-0.64. h) the area to the right of...
25. Provide an appropriate response. Samples of size n-250 are randomly selected from the U.S. census data, and the median income is found for each sample. What is the distribution of the sample medians? O skewed to the left O not enough information provided O normal (approximately O skewed to the right 26. Solve the problem. In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with...
The distribution of ages of females in the United States is strongly skewed to the left with a mean of 80.2 years. A random sample of n 20 females is taken from this population and the mean age of the sample is calculated. This is repeated 500 times. Which one of the following best describes the shape of the sampling distribution? 20. Cannot be determined because the standard deviation is unknown. Skewed to the left with a mean of (A)...
The heights of 20- to 29-year-old males in the United States are
approximately normal, with mean 70.4 in. and standard deviation 3.0
in.
Round your answers to 2 decimal places.
a. If you select a U.S. male between ages 20
and 29 at random, what is the approximate probability that he is
less than 69 in. tall?
The probability is about_______ %.
b. There are roughly 19 million 20- to
29-year-old males in the United States. About how many are...
31. Heights of Women The mean height of women in the United States (ages 20-29) is 64.2 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 6 Center for Health Statistics) 6 inches? Assume ơ-2.9 inches. (Adapted from National 33. Which Is More Likely? Assume that the heights in Exercise 31 are normally distributed. Are you more likely to randomly select 1...
The average age of a vehicle registered in the United States is 8 years (96 months). the ages are normally distributed with a standard deviation of 16 months. Assume 7. a car is selected randomly, what is the probabilty that its age is between 91 and 102 months? b. If a random sample of 36 vehicles is taken, what is the probability that the mean of their ages is between 91 and 102 months? 8. (Check your homework notes). In...
in 214 Section Hicach domow page in your blue bok Only wor k will be add must show your work where every to reveu This includes Functions that you may use in your calculo You MUST give the name of the union, AND the param o input into each function 1. Find the following areas under the standard normal curve. Round answers to four decimal a) the area to the left of 2-0.64. h) the area to the right of...
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