Question

The area in square centimetres of a certain electronic component produced follows a normal distribution with a mean of mu and a standard deviation of 50 . The area for 12 such components chosen at random are as follows: 183,222,303,262,178,232,268,201,244,183,201,140 a. Find a 95% confidence interval for mu. b. Find the least number of components needed to be sampled in order to reduce the width of the confidence interval to below 30 . Answer a) Answer b)

Name: the area in square centimetres of a certain electronic component produced follows a normal distribution with a mean of mu and a standard deviation of 50 the area for 12 such components chose 35989
Uploaded: 2022-01-18T22:57:12-08:00
Duration: 3 min 4 s
Channel: Lucas Finney
Description: the area in square centimetres of a certain electronic component produced follows a normal distribution with a mean of mu and a standard deviation of 50 the area for 12 such components chose 35989

          The area in square centimetres of a certain electronic component produced follows a normal distribution with a mean of mu and a standard deviation of 50 . The area for 12 such components chosen at random are as follows: 183,222,303,262,178,232,268,201,244,183,201,140 a. Find a 95% confidence interval for mu. b. Find the least number of components needed to be sampled in order to reduce the width of the confidence interval to below 30 . Answer a) Answer b)

Added by David B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lucas Finney

01/18/2022

Step 1

Sample of n = 12 areas (cm^2): 183, 222, 303, 262, 178, 232, 268, 201, 244, 183, 201, 140. Population standard deviation sigma = 50. We need a 95% CI for mu and the minimum sample size to make the CI width < 30. Show more…

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The area in square centimetres of a certain electronic component produced follows a normal distribution with a mean of mu and a standard deviation of 50 . The area for 12 such components chosen at random are as follows: 183,222,303,262,178,232,268,201,244,183,201,140 a. Find a 95% confidence interval for mu. b. Find the least number of components needed to be sampled in order to reduce the width of the confidence interval to below 30 . Answer a) Answer b)