Question

Edward Simmons Messages Due Mon 11/18/2019 6:00 am An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.2 mm, how many of these components should she consider to be 90% sure of knowing the mean will be within +0.5 mm? 04 O23 O16 O 12 O 10 License Points possible: 1 Unlimited attempts. Message instructor about this question Submit

Answer 1

The following information is provided,
Significance Level, α = 0.1, Margin or Error, E = 0.5, σ = 1.2

The critical value for significance level, α = 0.1 is 1.64.

The following formula is used to compute the minimum sample size required to estimate the population mean μ within the required margin of error:
n >= (zc *σ/E)^2
n = (1.64 * 1.2/0.5)^2
n = 15.49

Therefore, the sample size needed to satisfy the condition n >= 15.49 and it must be an integer number, we conclude that the minimum required sample size is n = 16
Ans : Sample size, n = 16