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
Final 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
5 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 - 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 - Tallest people a
As a group, the Dutch are amongst the tallest people in the world. The average Dutchman is 184 cm tall. If a normal distribution is appropriate, and the standard deviation for Dutchmen is about 8 cm, what is the percentage of Dutchmen who will be over 2 m - Corresponding
Suppose that the country has had the following inflation rates over the past 14 years: 6.0, 6.7, 10.4, 11.9, 7.2, 3.5, 8.4, 7.5, 2.8, 4.3, 1.9, 3.9, 0.9, 0.7. Use the χ² goodness-of-fit test to determine whether the random variable ξ corresponding to this - 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 - A sample variance
Calculate the value of the sample variance. −8, −8, −3, 13, 4, −8, 10, 8. - Stoaches Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with a mean of 904 g and a standard deviation of 104 g. State the probability that the sample mean of a random sample of 36 stoach weights exc
