Testing a Single Mean

Answers

  1. The population standard deviation is known.

  2. The standard error of the mean is 2.5. You then find the probability of a sample mean more than 25-20=5 from the population mean of 20. This is the probability outside 15 and 25 given a distribution with a mean of 20 and a standard deviation of 2.5. The probability is .0455.

  3. 2.6693 Make sure you divide by \mathrm{N}-1.

  4. 0.9437 You divide s by the square root of \mathrm{N}.

  5. You divide \mathrm{M}=1.625 by the standard error of the mean (.9437) to get 1.72.

  6. You use N-1=7 degrees of freedom. p=.1288

  7. t=1.4626

  8. t=-0.7917

  9. p=0.8319

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