Question

Question #1
The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters). Test the claim that there is a linear correlation between temperature and plant growth, with 0.01 significance level and P-Value method.

temp	63	77	51	52	72	47	52	45	75
Growth	35	38	51	12	32	33	16	8	15

Question #2
A nationwide study of American homeowners revealed that 64% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, claims that more than 64% of homeowners in Omaha own one or more lawn mowers. A survey of 490 homes in Omaha yields 331 with one or more lawn mowers. Test the claim of the manufacturer with Critical Value method and use 0.06 significance level.

Question #3
Use P-Value method and 3% significance level, test the claim that the true mean weight loss produced by the three exercise programs have the same mean. Assume that the populations are normally distributed with the same variance.

Exercise A	Exercise B	Exercise C
5.6	6.8	9.3
8.1	4.9	6.2
4.3	3.1	5.8
9.1	7.8	7.1
7.1	1.2	7.9

Question #4
A coach uses a new technique to train gymnasts. 7 gymnasts were randomly selected and their competition scores were recorded before and after the training. The results are shown below.

Before	9.4	9.0	9.2	9.4	9.2	9.3	9.7
After	9.5	9.3	9.5	9.6	9.4	9.5	9.9

Using a 0.10 level of significance and Critical Value method to test the claim that the training technique is effective in raising the gymnasts' scores. (Mean difference is less than zero)

Question #5
Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8%. A market researcher selects a sample of 1000 subjects, with 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana. Using P-Value method at the 0.05 significance level, test the claim that the sample of subjects has a distribution that agrees with the distribution of state populations.

Answer 1

1)

correlation coefficient calculation

What the conclusion means: There is not a significant linear relationship between x and y.

we are allowed to solve one question only.