A mountain climber
A mountain climber plans to buy some rope to use as a lifeline. Which of the following would be the better choice? Explain your choice.
Rope A: Mean breaking strength:500lb; the standard deviation of 100lb
Rope B: Mean breaking strength: 500lb; the standard deviation of 10lb
Rope A: Mean breaking strength:500lb; the standard deviation of 100lb
Rope B: Mean breaking strength: 500lb; the standard deviation of 10lb
Correct answer:
Showing 1 comment:
Dr Math
B - rope with lower std.deviation is better quality;
There is a lower probability that rope break, i.e. at 490 lb with a lower standard deviation than a rope with higher standard deviation.
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=10&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=100&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
There is a lower probability that rope break, i.e. at 490 lb with a lower standard deviation than a rope with higher standard deviation.
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=10&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=100&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
4 years ago 2 Likes
Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Looking for a standard deviation calculator?
Looking for a statistical calculator?
Looking for a standard deviation calculator?
You need to know the following knowledge to solve this word math problem:
statisticsarithmeticGrade of the word problem
Related math problems and questions:
- Quartile statistics
Use the following data, which was obtained from a study of weights of adult men, to answer problems: Mean ; 192 lb ; First quartile ; 178lb Median; 185lb ; Third quartile ; 232 lb Mode ; 180 lb ; 86th percentile ; 239 lb Standard Deviation ; 23lb; ; a) Wh - 5-number summary
Given the following 5-number summary: 11, 19, 24, 30, 48, which of the statistics cannot be determined? - 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. Percentage of puls - Z-score test
The fish weights in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a decim
- Compare distributions
Which would you expect to be larger, the standard deviation of 5 random numbers picked from 1 to 47 in the California Super Lotto (CSL - write 1 as a result), or the standard deviation of 5 random numbers picked from 1 to 69 in the multi-state PowerBall L - Normally distributed
Suppose the height of male youngsters is normally distributed with a mean of 60 inches and a standard deviation of 10. what percentage of the boy's height would we expect to be between 44 and 75, less than 49, and 76 and more? - US GDP
Consider the following dataset, which contains the domestic US gross in millions of the top-grossing movies over the last five years. 300,452,513,550,780 I. Find the Mean of the Dataset II. Find the Squared deviation of the second observation from the mea
