Are you an optimist? The General Social Survey asked 1373 men and 993 women in the...

Are you an optimist? The General Social Survey asked 1373 men and 993 women in the United States whether they agreed that they were generally optimistic about the future. The results are presented in the flowing table.

	Male	Female
Optimistic	1148	815
Pessimistic	225	178

Compute the value of the chi square statistics.

Can you conclude that the gender and the option on optimism are independent? using the α=0.05 level of significance

Type Artificial hips: Artificial hip joints consist of a ball and socket. As the joint wears, the ball (head) becomes rough. Investigators performed wear tests on metal on metal artificial hip joints. Joints with several different diameters were tested. The following table presents measurements of head roughness (in nanometers).

Diameter	Head Roughness
16	0.83	2.25	0.4	2.78	3.23
28	2.72	2.48	3.8
36	6.49	5.32	4.59

Construct an ANOVA table

Source	Degree of Freedom	Sum of Squares	Mean Squares	F Value	P Value
Treatment
Error
Total

Can you conclude that mean roughness varies with diameter? Use the α=0.01 level of significance?

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Expert Solution

orchestra answered 1 year ago

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