Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

p-BC moodle.clarkson.edu 3. (10 pts) To test Ho : = 105 versus H1 : 105, a simpl

ID: 3315616 • Letter: P

Question

p-BC moodle.clarkson.edu 3. (10 pts) To test Ho : = 105 versus H1 : 105, a simple random sample of size n-25 is obtained. (a) If x 101.9 and 8-59, compute the test statistic. (b) Draw a t-distribution with the area that represents the p- value shaded. (e) Approximate and interpret the p-value. d) If the researcher decides to test this hypothesis at the 0.01 level of significance, will the researcher reject the null hypothesis? Why? 4. (10 pts) The following data represents the deviation of the actual high temperature for randomly selected days from the predicted temperature. Negative values mean that the actual high temperature is less that predicted, while positive values mean that the actual high temperature is more than predicted. Does the sample evidence imply that the weather forecast is accurate, on average? 1 1 2 0 0 2 4 3 1 1 5. (10 pts) As part of an experiment on root metabolism, a plant physiologist grew birch tree seedlings in the green-house. He flooded four seedlings with water for one day and analyzed the roots for ATP content. The results are given below. 1.45 1.19 1.05 1.07 Use a t test to investigate the true average of flooded seedlings is 1.15. Use a- 0.05 6· (10 pts) A sample of n :33 observations has a sample mean of 2.879. If an assumed known population standard deviation 0.325 is used, calculate the p-value for the testing of hypotheses. (a) Ho : = 3.0 vs. Ha : 3.0 (b) Ho : 112 3.5 vs. Ha :

Explanation / Answer

4.

From the given data we have

If we calculated the 95% CI for the given values we have

As we see 0 is the part of confidence interval, we fail to reject the null hypothesis.

This means weather forecast is accurate on an average.

Mean 0.5 std.dev. 1.857418 n 10