1. 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.
2. 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
3. You wish to test the null hypothesis σ = 12.8 against the alternative hypothesis σ > 12.8. What CRITICAL 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.
4. 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) VALUE will you use if you have a sample of n = 50 and s = 13.6? Express your answer to 3 places of decimal.
5. State the p-value in question 4. Express your answer to 3 places of decimal.
6. 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.