Question

Pages Pages 2698 2028 Mean 2408.8 2474 Standard Error 96.2684672 2395 Median 2387 2372 Mode #N/A...

Pages Pages
2698
2028 Mean 2408.8
2474 Standard Error 96.2684672
2395 Median 2387
2372 Mode #N/A
2475 Standard Deviation 304.4276232
1927 Sample Variance 92676.17778
3006 Kurtosis 0.976147469
2334 Skewness 0.345521688
2379 Range 1079
Minimum 1927
Maximum 3006
Sum 24088
Count 10
Confidence Level(95.0%) 217.7744026

Please answer these questions by using the information above.

  1. What is the point estimate?
  1. What is the confidence interval (using the information you generated)?
  1. What is the approximate probability that the true mean number of pages printed by the new ink-jet printer is equal to or less than 2,191?
  1. Finally, verify your results by manually calculating the mean of the sample.   Go on to determine the standard deviation and the standard error of the mean. Then compute a confidence interval based on your manually created numbers. If your interval happens to differ from the one generated by excel, please try to explain why.
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

i. Point Estimate = mean = 2408.8

ii. Confidence interval = 2408.8 217.7744 = (2191.0256 , 2626.5744)

iii. Probability that the true mean number of pages printed by the new ink-jet printer is equal to or less than 2,191:

Manual calculations:

Mean:

Standard deviation:

Standard error:

Confidence interval

Both confidence interval exact same only the difference between decimal places. This occur due to round of decimal places.

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