In: Statistics and Probability
The accompanying data shows the weekly purchases of printers at a particular electronic store. Using α = 0.05, perform a chi-square test to determine if the number of printers sold per week follows a normal probability distribution. Note that x = 11.3 and s = 4.6.
observed weekly purchases of printers |
8 |
15 |
12 |
18 |
11 |
15 |
5 |
8 |
2 |
2 |
16 |
7 |
17 |
16 |
11 |
12 |
16 |
13 |
13 |
5 |
11 |
9 |
11 |
8 |
16 |
8 |
8 |
17 |
6 |
20 |
12 |
3 |
9 |
11 |
7 |
14 |
11 |
13 |
14 |
11 |
11 |
6 |
18 |
20 |
Use the intervals below to calculate the chi-square test statistic, χ2
Interval 1: |
z |
≤ |
−1.0 |
||
---|---|---|---|---|---|
Interval 2: |
−1.0 |
< |
z |
≤ |
0 |
Interval 3: |
0 |
< |
z |
≤ |
1.0 |
Interval 4: |
1.0 |
< |
z |
Calculate the test statistic
χ2 =
(Round to two decimal places as needed.)
Determine the p-value.
p-value =
(Round to three decimal places as needed.)