Statistics homework - 5 questions, mainly hypotheses testing (including z-scores, t values, probability) Must get all questions correct, no errors. **Must show all work** Need this done tonight.

Statistics homework - 5 questions, mainly hypotheses testing (including z-scores, t values, probability)
Must get all questions correct, no errors.
**Must show all work**

If you get all the questions right on this assignment I have a test and larger SPSS project coming up that I would use you for.

ThenManIs5 added on 11/18/13 at 05:08 PM (PST):

Ok - here's the whole set of problems.

1. Use the given information to find the p-value. Show any work and assumptions.
a) The test statistic in a right-tailed test is z = 1.13







b) The test statistic in a left-tailed test is t = -3.45, n = 37







c) The test statistic in a two-tailed test is z = 1.97

2. Aiming to investigate the relationship between employment status and mental health, researchers administered the General Health Questionnaire (GHQ) to a sample of 52 unemployed men. They originally thought that the mean GHQ score for all unemployed men should exceed a value of 10 (lower values on the GHQ indicate better mental health). The sample resulted in a mean of 10.94 points and a standard deviation of 5.10 points. Using the p-value method and a significance level of 0.05, test the researchers hypothesis. Show all work and assumptions.

3. Gregor Mendel, in his now famous genetics experiments with peas, theorized that 25% of his pea plants had recessive alleles that would result in yellow offspring. However in a sample of 580 plants, 428 peas were green and 152 were yellow. Conduct a traditional hypothesis test to see if his sample data contradicts his theory on the expected percentage of yellow offspring. Use a significance level of 0.05. Communicate all work and assumptions, and be careful with rounding.

4. A car manufacturer wants to test a new engine to determine whether it meets air pollution standards. The mean emission of all engines of this type must be less than 20 parts per million (ppm) of carbon. Ten of these engines are sampled and the emission levels (in ppm) are provided:
15.6 16.2 22.5 20.5 16.4 19.4 16.6 17.9 12.7 13.9

Assuming a sample standard deviation for the values above of 2.98 ppm and normality of the parent data, use the traditional method and a significance level of 0.01, to test if this type of engine meets the pollution standard. Show all work and assumptions.


5. A manufacturer of dry-erase markers likes to keep its percentage of defective markers leaving the assembly line to statistically less than 5%. Suppose 300 random markers are selected and 9 are found to be defective. Does this provide sufficient evidence for the manufacturer to conclude that the percentage of defective items produced is less than 5%? Use the p-value method and a significance level of 0.10. Be careful when rounding. Show all work and assumptions.