You suspect one of the employees in a casino is using loaded dice. You observe them rolling the dice 66 times and record the following results: Face "1" "2" "3" "4" "5" "6" Observed count 10 7 16 7 9 17 (a) Which hypotheses should be used to test if the dice are unfair?Identify H0:H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are unfairH0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair Identify Ha:Ha: at least one p ≠ 1/6, implying the dice are unfairHa: at least one p ≠ 1/6, implying the dice are fair (b) What is the Expected count for each side, for these 66 rolls?

You suspect one of the employees in a casino is using loaded dice. You observe them rolling the dice 66 times and record the following results: Face "1" "2" "3" "4" "5" "6" Observed count 10 7 16 7 9...

You suspect one of the employees in a casino is using loaded dice. You observe them rolling the dice 66 times and record the following results:

Face	"1"	"2"	"3"	"4"	"5"	"6"
Observed count	10	7	16	7	9	17

(a) Which hypotheses should be used to test if the dice are unfair?
Identify H₀:

H₀: p₁ = p₂ = p₃ = p₄ = p₅ = p₆ = 1/6, implying the dice are unfairH₀: p₁ = p₂ = p₃ = p₄ = p₅ = p₆ = 1/6, implying the dice are fair

Identify H_a:

H_a: at least one p ≠ 1/6, implying the dice are unfairH_a: at least one p ≠ 1/6, implying the dice are fair

(b) What is the Expected count for each side, for these 66 rolls?

Jun 10, 2022