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Chapter 8: Q.96 (page 483)

Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum

magazines. The mean length of the conferences was 3.94 days, with a standard deviation of 1.28 days. Assume the

underlying population is normal.

a. In words, define the random variables X and X

b. Which distribution should you use for this problem? Explain your choice.

c. Construct a 95% confidence interval for the population mean length of engineering conferences.

I. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

Short Answer

Expert verified

a. The average length of an engineering conference is X, while the mean length of 84 engineering conferences is X

b. Normal distribution

c. I. CI-(3.663, 4.2137)

ii.

iii. EBM = 0.2737 2

Step by step solution

01

Explanation of A

The average length of an engineering conference is X, while the mean length of 84 engineering conferences is X.

02

Explanation of B

The normal distribution should be for the problem N3.94,1.2884, we know that the sample size for the population's standard deviation is bigger than 30.

03

Explanation of C

I.State the confidence interval

CI-(3.6663,4.2137)

ii.The graph is given below,

iii.The error bound is calculated from the formula,

EBM = upperlimit-lowerlimit2

EBM =4.21373.66632

EBM=0.27372

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