# Mathematics

11) (a) Find the critical value from the studentized range distribution for a =0.01, v 11, and k = 16

(b) Find the critical value from the studentized range distribution for a =0.05, v 12, and k = 17

(c) Find the critical value from the studentized range distribution for a =0.05, v 14, and k = 18

(d) Find the critical value from the studentized range distribution for H0: µ1= µ2= µ3= µ4= µ5, with n=20 at a = 0.01.

(a) (……..) (Round to three decimal places as needed)

(b) (…….)(Round to three decimal places as needed)

(c) (……..) (Round to three decimal places as needed)

(d) (…….) (Round to three decimal places as needed)

12) Fill in the ANOVA table.

Source of variation Sum of squares Degrees of Freedom Mean Squares F-Test Statistic

Treatment 422 4

Error 6476 23

Total

Complete the ANOVA table by filling in the missing values.

Source of variation Sum of squares Degrees of Freedom Mean Squares F-Test Statistic

Treatment 422 4 (…..) (…..)

Error 6476 23 (……)

Total (……..) (………)

(Type the integer or decimal rounded to three decimal places as needed)

13) (a) Find the critical value from the studentized range distribution for a =0.01, v 30, and k = 19

(b) Find the critical value from the studentized range distribution for a =0.01, v 11, and k = 16

(c) Find the critical value from the studentized range distribution for a =0.05, v 12, and k = 17

(d) Find the critical value from the studentized range distribution for H0: µ1= µ2= µ3= µ4= µ5, with n=23 at a = 0.01.

(a) (……..) (Round to three decimal places as needed)

(b) (…….)(Round to three decimal places as needed)

(c) (……..) (Round to three decimal places as needed)

(d) (…….) (Round to three decimal places as needed)