Question

A coffeehouse wishes to see if customers have any preference among 5 different brands of coffee. a sample of 200 customers provided the data below. calculate the chi-square test statistic χ2 to test the claim that the distribution is uniform.. 55.63 37.45 45.91 48.91

Answer 1

Answer:

The answer is 37.45

Step-by-step explanation:

The distribution is uniform so expected value of each brand is

E = 200/5

E = 40

Chi Square statistic is

$x^2 = \frac{(30-40)^2}{40} +\frac{(65-40)^2}{40} + \frac{(18-40)^2}{40} + \frac{(39-40)^2}{40} + \frac{(55-40)^2}{40}$

$x^2=\frac{100+625+484+64+225}{40}$

$x^2=\frac{1498}{40}$

$x^2= 37.45$

Hence, the  chi-square test statistic χ2 to test the claim that the distribution is uniform is 37.45