Reference no: EM132844692
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 54 ounces and a standard deviation of 6 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions.
a) 95% of the widget weights lie between oz and oz
b) What percentage of the widget weights lie between 36 and 66 ounces? %
c) What percentage of the widget weights lie below 60 ? %
-The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 54 and a standard deviation of 6. Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 54 and 66?Do not enter the percent symbol.
ans = %
- The results of a common standardized test used in psychology research is designed so that the population mean is 175 and the standard deviation is 20. A subject earns a score of 199. What is the z-score for this raw score? z-score =
-The results of a common standardized test used in psychology research is designed so that the population mean is 130 and the standard deviation is 10. A subject earns a score of 137. What is the z-score for this raw score? z-score =
-On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 117 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual. Round all your answers to 2 decimal places if necessary.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected person's IQ is over 120.
c. A school offers special services for all children in the bottom 5% for IQ scores. What is the highest IQ score a child can have and still receive special services?
d. Find the Inter Quartile Range (IQR) for IQ scores.
Q1:
Q3:
IQR:
-The weights for newborn babies is approximately normally distributed with a mean of 5.2 pounds and a standard deviation of 1.6 pounds.
Consider a group of 1200 newborn babies:
1. How many would you expect to weigh between 3 and 6 pounds?
2. How many would you expect to weigh less than 5 pounds?
3. How many would you expect to weigh more than 4 pounds?
4. How many would you expect to weigh between 5.2 and 7 pounds?
-The combined SAT scores for the students at a local high school are normally distributed with a mean of 854 and a standard deviation of 158. The local college requires a minimum SAT score of 844 before students are considered for admission.
What percentage of students from this school have SAT scores that do not satisfy the local college's admission requirement? Enter your answer as a percent accurate to 2 decimal places.
-Adult male height is normally distributed with a mean of 68.9 inches and a standard deviation of 2.31 inches. If an adult male is randomly selected, what is the probability that the adult male has a height greater than 70 inches? Round your final answer to four decimal places.
-Adult male height is normally distributed with a mean of 68.9 inches and a standard deviation of 2.31 inches. If an adult male is randomly selected, what is the probability that the adult male has a height between 64.2 and 69.4 inches? Round your final answer to four decimal places.