Question

In: Statistics and Probability

We have two samples of cats, n = 6 males and n = 6 females. Is...

We have two samples of cats, n = 6 males and n = 6 females. Is there a significant difference in the weights of cats based on gender?

Male

14.8 10.1 15.6 10.7 9.6 11

Female

6.5 7.2 11 8.5 13.5 7.3

Conduct an independent sample t-test using a .05 level of significance.

M males=

M females=

df=

SS males=

SS females=

Pooled variance=

Standard error=

Mean difference=

t obtained=

decision=

d=

r2=

Expert Solution

This is an independent two samples t-test for equal variances

Let and be variables denoting male and female weights respectively.

Mean =

M males= 11.966
M females= 9
df= 10 .........( )

Standard deviation =

4.Var males= 6.571

5. Var dev females=7.376

Pooled variance =

6. Pooled variance=6.973

7. Standard error= 1.5246 .................. ( )

8. Mean difference= 2.967

9. t obtained= 1.946 ............ ()

Critical 2-tailed = ................ ()

Critical value = 2.228

Since T. obtained < Critical value,

10. decision= We do not reject null hypothesis and conclude that there is no significant diff between means at 0.05 level of significance.

11. d= Apologies but I couldn't interpret this

correlation coeff (r) =

r = -0.1388

12. = 0.0193

orchestra answered 1 year ago

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