-The weight of an organ in adult males has a? bell-shapeddistribution with a mean of
300 grams and a standard deviation of 40 grams. Use theempirical rule to determine the following.
a. About 95% of organs will be between what? weights?
b. What percentage of organs weighs between 260 grams and 340?grams?
?(c) What percentage of organs weighs less than 260 grams ormore than 340 ?grams?
?(d) What percentage of organs weighs between 220 grams and 340?grams?
-Scores of an IQ test have a? bell-shaped distribution with amean of 100 and a standard deviation of 12.
Use the empirical rule to determine the following.?
(a) What percentage of people has an IQ score between 88 and112??
?(b) What percentage of people has an IQ score less than 88 orgreater than 112??
?(c) What percentage of people has an IQ score greater than112
-Suppose babies born after a gestation period of 32 to 35 weekshave a mean weight of 2800 grams and a standard deviation of 800grams while babies born after a gestation period of 40 weeks have amean weight of 3000 grams and a standard deviation of 475 grams. Ifa 33?-week gestation period baby weighs 3075 grams and a 41?-weekgestation period baby weighs 3275 ?grams, find the corresponding?z-scores. Which baby weighs more relative to the gestation?period?
-In a certain? city, the average? 20- to? 29-year old man is69.8 inches? tall, with a standard deviation of 3.0 ?inches, whilethe average? 20- to? 29-year old woman is 64.5 inches? tall, with astandard deviation of 3.9 inches. Who is relatively? taller, a?75-inch man or a? 70-inch woman?
-A manufacturer of bolts has a? quality-control policy thatrequires it to destroy any bolts that are more than 4 standarddeviations from the mean. The? quality-control engineer knows thatthe bolts coming off the assembly line have mean length of 12 cmwith a standard deviation of 0.05 cm. For what lengths will a boltbe? destroyed?
