Question

The carapace lengths (in mm) of crayfish were recorded for samples from two sections of a stream

in Kansas.

section1 5, 11, 16, 8, 12

section2 17, 14,15, 21,19, 13

Use the data in the problem above to give an approximate 95% confidence interval for the shift between section 1 and section 2. Give a point estimate for the population shift . Write a sentence about the confidence interval and what is being estimated.

Answer 1

The carapace lengths (in mm) of crayfish were recorded for samples from two sections of a stream

in Kansas.

THE data is given by
Xi = section f x= section 2 n = 5, 1226 sus lois. 415. 501 51%i2 - 8) 02 = 3.08 T Spr - Steni-1) + so 102) Deton-2) (4.151454)7 (330 (1576-2) So2 = 17.3157) + 9.5 (64) 15.94 5 +6-2

The 95 % confidence shift between selection is given by internal and selections and selection 2 for sele (x,- K2) Į t(412, Donne Sp² nithe r (10.4-16.5) I t60.056, 576-2) Jisan 5t6-2 [-6.1 I 010-035.9)y 3-1905 [-6.1 I 2.268 1.331] I -6.1+ 8.0109 7. -9.1109, -3.0184 ] for selections 2 The shift is 95 %. confidence interval between selection and (-9,110g, -3.0189)

in the above confidence interval we can says that the our shift between section 1 and section 2 is suffering from this interval