1) The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 bowling balls is selected. What is the probability that the average weight of the sample is less than 11.00 pounds? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.
2) A survey of high school students revealed that the numbers of soft drinks consumed per month was normally distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probability that the average number of soft drinks consumed per month for the sample was between 28.3 and 30 soft drinks? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.

1) The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation...
Be sure to carefully follow the instructions about entering your answer. In most open-answer problems, only a number is required (i.e., no units, no percentage sign, etc...). Pay close attention to the number of decimal places requested. You should use a TI-84 PLUS calculator for all procedures where appropriate. Question 5 (5 points) A survey of high school students revealed that the numbers of soft drinks consumed per month was normally distributed with mean 25 and standard deviation 15. A...
Columbia manufactures bowling balls with a mean weight of 14.5 pounds and a standard deviation of 2.7 pounds. A bowling ball is too heavy to use and is discarded if it weighs over 16 pounds. Assume that the weights of bowling balls manufactured by Columbia are normally distributed. (Round probabilities to four decimals) a) What is the probability that a randomly selected bowling ball is discarded due to being too heavy to use? _________ b) The lightest 6% of the...
Columbia manufactures bowling balls with a mean weight of 14.7 pounds and a standard deviation of 2.5 pounds. A bowling ball is too heavy to use and is discarded if it weighs over 16 pounds. Assume that the weights of bowling balls manufactured by Columbia are normally distributed. (Round probabilities to four decimals) a) What is the probability that a randomly selected bowling ball is discarded due to being too heavy to use? b) The lightest 5% of the bowling...
Question 2 (5 points) Suppose that a sample of size 58 is drawn from a population with mean 55 and standard deviation 38 . Find the value of o,, the standard deviation of the distribution of sample means. Write only a number as your answer. Round to two decimal places (for example: 8.21). Your Answer Answer Question 3 (5 points) The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of...
Please explain how to Solve. Thank you 16. The following are interest rates (annual percentage rates) for a 30-year-fixed-rate mortgage from a sample of lenders in a certain city. It is reasonable to assume that the population is approximately normal. 4.327, 4.461, 4.547, 4.813, 4.365, 4.772, 4.842. Find the upper bound of the 99% confidence interval for the mean rate. Round three decimal places. 4. A survey of high school students revealed that the number of soft drinks consumed per...
Question 2 (4.2 points) In a certain city, the monthly water bill amount is normally distributed with mean 25 and standard deviation 15. A sample of 36 bills was selected. What is the probability that the average water bill amount for the sample was between 28.7 and 30? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage. Your Answer:
2. Birth weights are normally distributed with a mean of 7.6 pounds and a standard deviation of 1.23 pounds. What is the probability that a newborn weighs more than 11.3 pounds? Ans 2 3. X is binomial with n = 700 and p = .32. Use the standard normal distribution to approximate P(207 < X < 256). Ans 3 4. A population has a known variance of 22.9. If you draw random samples of size 24 and construct the sampling...
The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. b. What is the standard score of the sample mean of 170 pounds? c. What is the probability that the mean of a sample of size 15 will be more than 170 pounds? d. What is the standard score of a sample mean of 220 pounds? e. What is the probability that the mean of a sample of size...
8. Suppose the scores of students on an exam are normally distributed with mean u = 17.6 and standard deviation o = 4.9. (a) Determine the distribution of the sample mean score for a randomly selected sample of 36 students who took the exam. (b) Find the probability that the sample mean score will be less than 20 for a sample of 36 randomly selected students. (c) How large a sample size would be required to ensure that the probability...
Question 8 (1 point) A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probability that the average time spent studying for the sample was between 28.7 and 30 hours studying? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write...