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.)