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3 years ago

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Analysis showed that the mean arrival rate for vehicles at a certain Shell station on Friday afternoon last year was 4.5 vehicle

s per minute. How large a sample would be needed to estimate this year's mean arrival rate with 98 percent confidence and an error of ± 0.5?

2 answers:

Solnce55 [7]3 years ago

7 0

Answer:

25

Step-by-step explanation:

use a Poisson process to model the arrival.

the mean rate of arrivals is λ=4.5

The standard deviation is calculated as:

σ==√λ =2.1213

The z-value for a 98% CI is z=2.3262.

If the 98% CI has to be within a error of 0.5 then:

Ul-Ll=2z*σ/√n=2*0.5=1

√n=z*σ=2.3262*2.1213=4.9346

√n=4.9346 and n = 4.9346^2=24.35 rounded to 25

The sample size needed is n=25.

nadezda [96]3 years ago

3 0

Answer:

idk sorry

Step-by-step explanation:

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