On a certain day, a large number of fuses were manufactured, each rated at 15 A. A sample of 75 fuses is drawn from the day’s production, and 17 of them were found to have burnout amperages greater than 15 A. a. Find a 95% confidence interval for the proportion of fuses manufactured that day whose burnout amperage is greater than 15 A. b. Find a 98% confidence interval for the proportion of fuses manufactured that day whose burnout amperage is greater than 15 A. c. Find the sample size needed for a 95% confidence interval to specify the proportion to within ± 0.05. d. Find the sample size needed for a 95%
. On a certain day, a large number of fuses were manufactured, each rated at 15 A. A
sample of 75 fuses is drawn from the day’s production, and 17 of them were found to have burnout
amperages greater than 15 A.
a. Find a 95% confidence interval for the proportion of fuses manufactured that day whose
burnout amperage is greater than 15 A.
b. Find a 98% confidence interval for the proportion of fuses manufactured that day whose
burnout amperage is greater than 15 A.
c. Find the
within ± 0.05.
d. Find the sample size needed for a 95% confidence interval to specify the proportion to
within ± 0.05.
e. If a 95% confidence interval is computed each day for 200 days, what is the probability
that more than 192 of the confidence intervals cover the true proportions?
Learn your way
Includes step-by-step video
Step by step
Solved in 2 steps
