Question

Classic Golf Inc. manages five courses in the Jacksonville, Florida, area. The director of golf wishes to study the number of rounds of golf played per weekday at the five courses. He gathered the following sample information.

Day	Rounds
Monday		105
Tuesday		150
Wednesday		145
Thursday		120
Friday		105

At the 0.01 significance level, is there a difference in the number of rounds played by day of the week?

H₀: Rounds played is the same for each day.
H₁: Rounds played is not the same.

State the decision rule, using the 0.01 significance level. (Round your answer to 3 decimal places.)

Compute the value of chi-square. (Round your answer to 3 decimal places.)

Answer 1

bolun. Here we used chi-square test for goodness of Bil Aim: To test is there a difference in the number 03 Counds played by despe of week Hos Rounds played is same for each day Hp : Rounds played are not some X² Here L=0.ol df=5-1 = 4 critical value 12.271 0.01,4 Decision is 8 ² 4 7 We harled to reject Ho dla din-1 is x 7 dn. 1, Reject Ho at &=0.01 Doy Frequency Grounds (oi-E: 1² Coi-E;)? Observed wounds co;) Expected sounds (ti) Ej Monday 105 125 400 3.2 Tuesday 150 125 625 s Wednesday 145 125 400 3.2 | Thursday 120 125 25 0.2 Friday 105 125 400 3.2 Total. 625 625 14.8 Expecled brequency total 625 125 5 J 72- Ĉ (0;-E;)2 14.8 1=1 since 2²7 7² della provide evidence to reject Ho d, (n-1) 625 The value of tesl Slatishic - 22- Ei Hence Reject Ho at x = 0.ol in Zavor of Hq The is sufficience evidence to say there is dilberence in the no.08 rounds played by day.