You find the sample standard deviation of sample a to be

Question

1. To perform a two-tailed chi-square test at the 1% level of significance about the population standard deviation using a small sample selected from a normally distributed population, we find the critical values using

Select one:

a. CHI-SQUARE sub 0.99 and CHI-SQUARE sub 0.01b. CHI-SQUARE sub 0.995 and CHI-SQUARE sub 0.005c. CHI-SQUARE sub 0.975 and CHI-SQUARE sub 0.025d. CHI-SQUARE sub 0.99 onlye. None of the above

2. You find the sample standard deviation of sample A to be 12.6 and the sample standard deviation of sample B to be 15.9. You could not perform a test in which the alternative hypothesis is σ sub A < σ sub B because we can only do right-tailed tests using the F statistic.

Select one: True False

3. You wish to test the null hypothesis σ = 0.300 against the alternative hypothesis σ > 0.300. What critical value will you use at the 5% level of significance if you have a sample of n = 20? State your answer to 3 places of decimal.

4. You wish to test the null hypothesis σ = 0.300 against the alternative hypothesis σ > 0.300. What calculated value of Chi-square will you use if you have a sample of n = 20 and s = 0.401? Express your answer to 3 places of decimal.

5. You wish to test the null hypothesis σ = 12.8 against the alternative hypothesis σ > 12.8. Whatcritical value will you use at the 5% level of significance if you have a sample of n = 50? Express your answer to 3 places of decimal.

6. You wish to test the null hypothesis σ = 12.8 against the alternative hypothesis σ > 12.8, and you can assume the underlying population is normally distributed. What calculated (observed) valuewill you use if you have a sample of n = 50 and s = 13.6? Express your answer to 3 places of decimal.

7. State the p-value in question 6. Express your answer to 3 places of decimal.

8. The sodium concentration in whole blood (mEq/L) was determined for two samples of eels. For n = 20 marine eel, s = 40.5; while for n = 20 freshwater eels, s = 32.1. What critical value would be used to test, at the 5% level of significance (using only the table in text and coursenotes), to see if there is evidence that there is more variability in the marine eel data? Express your answer with two places of decimal.

9.  The sodium concentration in whole blood (mEq/L) was determined for two samples of eels. For n = 20 marine eel, s = 40.5; while for n = 20 freshwater eels, s = 32.1. What is the calculated value of the test statistic to investigate whether there is more variability in the marine eel data than the freshwater eel data?. Express your answer with two places of decimal.

10. The test used with the null hypothesis σ₁ = σ₂ is not the same as the test used with the null hypothesis σ = σ₀ where σ₀ is a constant.

Select one:

TrueFalse