Question
In: Math
11. Determine the p-value given the stated hypothesis and the test statistic value (Z) Ho:μ= 300...
11. Determine the p-value given the stated hypothesis and the test statistic value (Z) Ho:μ= 300 H1: μ < 300; z = -2.13 Answer to 4 decimal places.
12. Determine the p-value given the stated hypothesis and test statistic value (Z). Ho: μ = 120 H1: μ ≠ 120; z = 1.92. Answer to 4 decimal places.
13. Some people claim that the physical demand on dancers are such that dancers tend to be shorter than the typical person. Nationally, adult heights are normally distributed with an average of 64.5 inches. A random sample of 20 adult dancers has an average height of 63.275 inches and a standard deviation of 2.17 inches. Is there evidence that dancers are shorter? Calculate the test-statistic for a test
Ho: μ = 64.5 versus Ha: μ < 64.5
Compute the test statistic for this test. (round your answer to 2 decimal places)
14. The mean caffeine content per cup of regular coffee served at a certain coffee shop is supposed to be 100mg. A test is made of Ho: μ=100 versus Ha: μ≠100. A sample of 35 cups does not provide enough evidence that the mean caffeine content is different from 100mg. Which type of error is possible in this situation?
| A. |
Type 2 error |
|
| B. |
Type 1 error |
|
| C. |
Impossible to tell |
|
| D. |
Either type is possible |
Solutions
Expert Solution
11. Since, significance level is not given, we assume it to be 0.05.
Since the test is left tailed, the p value would be P(z<-2.13)
This probability can be found by simply looking at the z left table.
P(z<-2.13)= 0.0166
milcah answered 1 year agoRelated Solutions
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