Answer:
Kindly check attached picture
Step-by-step explanation:
A standard dice has 6 faces numbered {1,2,3,4,5,6}
For 2 dice, n = 2 ; sample space = n² = 6² = 36
The sum of the 2 upward facing dots:
{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);
(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);
(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}
Answer:
Yes, there is a significant difference in customer satisfaction ratings at the two stores
The P-value is P=0.000.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>The store A has a sample mean of 4.05 and a sample standard deviation of 0.039. The store B has a sample mean of 3.99 and a sample standard deviation of 0.025.</em>
We have to perform an hypothesis test for the difference between means.
The claim will state that satisfaction ratings differ. So, the null and alternative hypothesis are:
being μ1: the actual staisfaction rating of store A, and μ2: the actual satisfaction rating of store B.
The significance level is 0.05.
We know that, for both samples, the sample size is n=100.
The difference between means is:
The standard error of the diffence between means is calculated as:
The z-statistic can be calculated as:
The P-value for this test statistic in a two tailed test is
The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.
There is enough evidence that the customer satisfaction rating differs from store A to store B.