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Let X represent the number of events that are observed to occur in n units of time or space, and assume X- Poisson(n), where a is the mean number of events that occur in one unit of time or space. Assume X is large, so that X - N(nà,nì). Follow steps (a) through (d) to derive a level 100(1 – a)% confidence interval for 2 Then in part (e), you are asked to apply the result found in part (d). Show that for a proportion 1 – a of all possible samples, X- Z0x < ni < X + Zup0x. Let 2 = X/n. Show that o = 0x/n. a. b. Conclude that for a proportion 1 - a of all possible samples, 2- tpo, < i <â+ a. C. d. Use the fact that o Vâ/n to derive an expression for the level 100(1 - a)% confidence interval for 2. A 5 mL sample of a certain suspension is found to contain 300 particles. Let A represent the mean number of particles per mL in the suspension. Find a 95% e. confidence interval for 2.

Let X represent the number of events that are observed to occur in n units of time or space, and assume X- Poisson(n), where a is the mean number of events that occur in one unit of time or space. Assume X is large, so that X - N(nà,nì). Follow steps (a) through (d) to derive a level 100(1 – a)% confidence interval for 2 Then in part (e), you are asked to apply the result found in part (d). Show that for a proportion 1 – a of all possible samples, X- Z0x < ni < X + Zup0x. Let 2 = X/n. Show that o = 0x/n. a. b. Conclude that for a proportion 1 - a of all possible samples, 2- tpo, < i <â+ a. C. d. Use the fact that o Vâ/n to derive an expression for the level 100(1 - a)% confidence interval for 2. A 5 mL sample of a certain suspension is found to contain 300 particles. Let A represent the mean number of particles per mL in the suspension. Find a 95% e. confidence interval for 2.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Let X represent the number of events that are observed to occur in n units of time or space, and assume X- Poisson(n), where a is the mean number of events that occur in one unit of time or space. Assume X is large, so that X - N(nà,nì). Follow steps (a) through (d) to derive a level 100(1 – a)% confidence interval for 2 Then in part (e), you are asked to apply the result found in part (d). Show that for a proportion 1 – a of all possible samples, X- Z0x < ni < X + Zup0x. Let 2 = X/n. Show that o = 0x/n. a. b. Conclude that for a proportion 1 - a of all possible samples, 2- tpo, < i <â+ a. C. d. Use the fact that o Vâ/n to derive an expression for the level 100(1 - a)% confidence interval for 2. A 5 mL sample of a certain suspension is found to contain 300 particles. Let A represent the mean number of particles per mL in the suspension. Find a 95% e. confidence interval for 2.
Transcribed Image Text:Let X represent the number of events that are observed to occur in n units of time or space, and assume X- Poisson(n), where a is the mean number of events that occur in one unit of time or space. Assume X is large, so that X - N(nà,nì). Follow steps (a) through (d) to derive a level 100(1 – a)% confidence interval for 2 Then in part (e), you are asked to apply the result found in part (d). Show that for a proportion 1 – a of all possible samples, X- Z0x < ni < X + Zup0x. Let 2 = X/n. Show that o = 0x/n. a. b. Conclude that for a proportion 1 - a of all possible samples, 2- tpo, < i <â+ a. C. d. Use the fact that o Vâ/n to derive an expression for the level 100(1 - a)% confidence interval for 2. A 5 mL sample of a certain suspension is found to contain 300 particles. Let A represent the mean number of particles per mL in the suspension. Find a 95% e. confidence interval for 2.
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