Homework SoursePerform the indicated test of hypothesis using the 8step for
Perform the indicated test of hypothesis using the 8-step format. For step 3 of the hypothesis testing procedure, just give the formula for the test statistic that will used.
Perform the indicated test of hypothesis using the 8-step format. For step 3 of the hypothesis testing procedure, just give the formula for the test statistic that will used.
PROBLEM 5: A plant science researcher at Perdoo University believes that Gatorade will make watermelons grow larger (because plants love electrolytes). To test this theory, he plants n 16 watermelons and feeds them Gatorade instead of water until they are mature. It is known that the average weight of a mature watermelon grown with water is Lu 6.2 pounds. When the Gatorade fed plants reach maturity, he weighs each one, obtaining an average sample weight of X 5.9 pounds and a standard deviation of S 0.8 pounds. Test the hypothesis Ho: 6.2 versus the alternative HA: HG 6.2 using a 0.05 (yeah, I know, but it\'s Perdoo, so run the test anyway). Solution
1. Parameter of interest is whether watermelon grow larger due to Gatorade.
2. H0: mu0 = 6.2
Ha: mu0>6.2
Right tailed test
3. Comparison of sample mean with population mean is done using t test.
4. Type I error max = alpha = 0.05
5. t statistic = -1.50
6. pvalue =0.0771
7. Accept H0
8. The samples are drawn at random and other causes are kept to a minimum.
| Critical t-value (two-tailed): | +/- 2.13144955 |
| One-tailed probability P(h > x): | 0.07718333 |
