Skillbuilder Applet Exercise estimates the pvalue for a two-tailed hypothesis test by simulating the taking of many samples.

The given hypothesis test is for Ho: 4 versus Ha: ≠ 4. A sample of 100 has been taken and the sample mean is 3.6.

a. Click “10” for “# of samples.” Note the sample means and the probability of being less than 3.6 or greater than 4.4. Why are we including the greater than 4.4?

b. Change to “Batch” and simulate 1000 more samples. What is the probability of being less than 3.6 or greater than 4.4? This is your estimated p-value.

c. How does your estimated p-value show on the histogram formed from the taking of many samples? Explain what this p-value means with respect to the test.

d. If the level of significance were 0.05, what would your decision be?

Transcribed Image Text:

Populations Mean 4.0, 50 -1.732 0.2 0.15 0.05 100 Samples 110 10 aple sean Mean 3.935, 0.1731 0.15 0.1 0.05 Mean 106 4 22 10T: 4.0 108 405 109.379 110385 3 3.5 4.5 30-40, 30, 40, 30, 40, 30, 40, 40, 40, 50,50