Details: This is data from a group of marmots that were studied to explore the effects of sex and age

Question 1

Details:

This is data from a group of marmots that were studied to explore the effects of sex and age on systolic blood pressure. Here is the data.

	Sex
Age	Male	Female

	108	110
	10	105
Adolescent	90	100
	80	90
	100	102

	120	110
	125	105
Mature	130	115
	120	100
	130	120

	145	130
	150	125
Old	130	135
	155	130
	140	120

Select an appropriate parametric statistical model to analyze the data and fill in the following table:

Source	SS	DF	MS	F	p
" "	?	?	?	?	?
" "	?	?	?	?	?
" "	?	?	?	?	?

	SS	DF	MS
Error	?	?	?
Total	?	?	XX

What are the null and alternate hypotheses in your statistical test? Are there a significant treatment effect? Is there a significant interaction?

Question 2

Details:

Perform a Tukey multiple comparisons procedure and state your conclusions. Fill in the remaining values in the tables below. Here is the data

variant 1	variant 2	variant 3	variant 4
14	20	15	15
15	19	18	13
19	19	13	16
12	17	14	16
10	16	12	14

Table 1

	Variant 1	Variant 2	Variant 3	Variant 4
Sample Means X i (x-bar)	14.0	18.2	14.4	14.8
Sizes of samples (n i )	5	5	5	5

Table 2

Comparison (B vs.A)	Difference (Xbar B -Xbar A )	Standard Error	q	q (α,ν ,k)	Conclusion
2 vs 1	?	?	?	?	?
2 vs 3	?	?	?	?	?
2 vs 4	?	?	?	?	?
4 vs 1	?	?	?	?	?
4 vs 3	?	?	?	?	?
3 vs 1	?	?	?	?	?

What is the rationale for why multiple comparison tests are needed? How does the power of the Tukey test compare to ANOVA and is this an important consideration with these data?

Question 3

Details:

Cellular activity in four genetic variants of a fungus species was measured in five randomly selected cultures of each variant.

Variant 1	Variant 2	Variant 3	Variant 4
14	20	15	15
15	19	18	13
19	19	13	16
12	17	14	16
10	16	12	14

Test whether the variances are of four different variances are equal. What is your conclusion and what is the implication as to whether a parametric or nonparametric test should be selected? Explain? Use a 0.05 significant level for all procedures where appropriate.

b) Select a parametric statistical procedure to analyze the data. What are the null and alternative hypotheses in your statistical test? Is there a significant treatment effect? What are the test statistic, critical value and p-value? What is the conclusion?

c) Perform a non-parametric test and state your conclusion, test stat., critical value, and p-value. Why/why not is there a difference?

Question 4

Details:

A monk growing peas in a garden wants to test whether the observed frequencies of traits adhere to a 9:3:3:1 ratio (this is the classic F2 generation of a dyhybrid cross). The following frequencies were observed.

Yellow Smooth	Yellow Wrinkled	Green Smooth	Green Wrinkled
166	42	59	10

Test following null hypothesis using the appropriate statistical technique. Provide the test statistic, critical value, p-value, and the conclusion.

Ho: The sample comes from a population having 9:3:3:1 ratio of yellow-smooth to yellow-wrinkled to green-smooth to green-wrinkled seeds.

Ha: The sample does not come from a population having a 9:3:3:1 ratio of yellow-smooth to yellow-wrinkled to green-smooth to green-wrinkled seeds.

Question 5 Details:

The mass (in grams) of 12 adult male tarantulas and the size of their territories were measured. Here are the data;

Mass	Territory size
(x)	(y)
435	2.1
440	5.7
460	3
505	6.7
510	6.9
517	10.3
565	25
673	20.6
680	19.1
790	13.8
815	12.2
840	15.2

Perform a linear regression analysis. Obtain estimates of the slope and intercept of the relationship between the two variables. Write the equation below. State your hypotheses, test statistic, critical value, p-value, r ² , and conclusions, Describe the differences between what the p-value and r 2 mean in a regression analysis.
Using this example, describe the differences between the independent variable and dependent variable?

Question 6 Details

In Minitab do a residual plot analysis and sketch your graph below. Does it seem that a linear model is appropriate? Explain. If a linear model is not appropriate what could your next steps be?

Here's the data