A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 53 cables and apply weights to each of them until they break. The 53 cables have a mean breaking weight of 772.1 lb. The standard deviation of the breaking weight for the sample is 15.6 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cabie. Your answer should be to 2 decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A group of engineers developed a new design for a steel cable. They need to
estimate the amount of weight the cable can hold. The weight limit will be
reported on cable packaging. The engineers take a random sample of 53 cables
and apply weights to each of them until they break. The 53 cables have a mean
breaking weight of 772.1 lb. The standard deviation of the breaking weight for
the sample is 15.6 lb.
Find the 99% confidence interval to estimate the mean breaking weight for this type cable.
Your answer should be to 2 decimal places.
Transcribed Image Text:A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 53 cables and apply weights to each of them until they break. The 53 cables have a mean breaking weight of 772.1 lb. The standard deviation of the breaking weight for the sample is 15.6 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cable. Your answer should be to 2 decimal places.
According to the website www.collegedrinkingprevention.gov, “About 25
percent of college students report academic consequences of their drinking
including missing class, falling behind, doing poorly on exams or papers, and
receiving lower grades overall." A statistics student is curious about drinking
habits of students at his college. He wants to estimate the mean number of
alcoholic drinks consumed each week by students at his college. He plans to use a 90% confidence
interval. He surveys a random sample of 65 students. The sample mean is 3.91 alcoholic drinks per
week. The sample standard deviation is 3.49 drinks.
Construct the 90% confidence interval to estimate the average number of alcoholic drinks consumed
each week by students at this college.
Your answer should be rounded to 2 decimal places.
Transcribed Image Text:According to the website www.collegedrinkingprevention.gov, “About 25 percent of college students report academic consequences of their drinking including missing class, falling behind, doing poorly on exams or papers, and receiving lower grades overall." A statistics student is curious about drinking habits of students at his college. He wants to estimate the mean number of alcoholic drinks consumed each week by students at his college. He plans to use a 90% confidence interval. He surveys a random sample of 65 students. The sample mean is 3.91 alcoholic drinks per week. The sample standard deviation is 3.49 drinks. Construct the 90% confidence interval to estimate the average number of alcoholic drinks consumed each week by students at this college. Your answer should be rounded to 2 decimal places.
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