Question

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You...

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)

H0: μ1μ2 = 0
HA: μ1μ2 ≠ 0

x−1x−1 = 75 x−2x−2 = 79
σ1 = 11.10 σ2 = 1.67
n1 = 20 n2 = 20


a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)




a-2. Find the p-value.

  • 0.05 p-value < 0.10
  • 0.025 p-value < 0.05
  • 0.01 p-value < 0.025
  • p-value < 0.01

  • p-value 0.10



a-3. Do you reject the null hypothesis at the 5% significance level?

  • Yes, since the p-value is less than α.

  • No, since the p-value is less than α.

  • Yes, since the p-value is more than α.

  • No, since the p-value is more than α.



a-4. Interpret the results at   αα = 0.05.

  • We conclude that the population means differ.

  • We cannot conclude that the population means differ.

  • We conclude that population mean 2 is greater than population mean 1.

  • We cannot conclude that population mean 2 is greater than population mean 1.

Homework Answers

Answer #2

The statistical software output for this problem is :

Test statistics = -1.59

P-value > 0.10

No, since the p-value is more than α.

We cannot conclude that the population means differ.

answered by: anonymous
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