Math Solutions

[Solution Library] Random sampling from two normal populations produced the following results: x̄ 1 = 412 s 1 = 128 n 1 = 150 x̄ 2 = 405 s 2 = 54 n 2 = 150

Question: Random sampling from two normal populations produced the following results:

x̄ 1 = 412 s 1 = 128 n 1 = 150
x̄ 2 = 405 s 2 = 54 n 2 = 150
  1. Can we infer at the 5% significance level that μ 1 is greater than μ 2 ?
  2. Repeat part (a) decreasing the standard deviations to s 1 = 31 and s 2 = 16.
  3. Describe what happens when the sample standard deviations get smaller.
  4. Repeat part (a) with samples of size 20.
  5. Discuss the effects of decreasing the sample size.
  6. Repeat part (a) changing the mean of sample 1 to x̄ 1 = 409
  7. Discuss the effect of decreasing x̄ 1 .

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Solution: The downloadable solution consists of 5 pages
Deliverable: Word Document


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