| Sample Number |
Daily Sales |
|
|
| Minimum |
8037.00 |
| 1 |
13,337 |
|
|
| Maximum |
15934.00 |
| 2 |
$10,337 |
|
|
| Q 1 |
9341.5 |
| 3 |
$9,337 |
|
|
| Q 2 |
10337 |
| 4 |
$9,977 |
|
|
| Q 3 |
10356.75 |
| 5 |
$12,786 |
| 6 |
$10,337 |
| 7 |
$10,345 |
| 8 |
$10,359 |
| 9 |
$11,048 |
| 10 |
$8,037 |
| 11 |
$10,340 |
| 12 |
$11,340 |
| 13 |
$10,350 |
| 14 |
$9,356 |
|
|
| Student should Use t-test |
| 15 |
$9,900 |
|
|
| Mean |
10344.17 |
| 16 |
$15,934 |
|
|
| Median |
10337.0000 |
| 17 |
$9,334 |
|
|
| Sample Standard Deviation |
1575.629619 |
| 18 |
$8,999 |
|
|
| n= |
30 |
| 19 |
$10,453 |
|
|
| df= |
29 |
| 20 |
$10,337 |
|
|
| Confidence Level= |
0.95 |
| 21 |
$10,336 |
|
|
| t= |
2.045 |
| 22 |
$9,339 |
|
|
| E= |
588.349769 |
| 23 |
$10,339 |
|
|
| Confidence Interval Lower Limit |
9755.81690 |
| 24 |
$8,903 |
|
|
| Confidence Interval Upper Limit |
10932.5164 |
| 25 |
$9,454 |
|
|
| Null Hypothesis |
µ=10,000 |
| 26 |
$8,346 |
|
|
| Alternative Hypothesis |
µ>10,000 |
| 27 |
$9,349 |
|
|
| What type of Test Statistic did you use and why? |
| Hint: We use a t-test if the population standard deviation is unknown and we use a z-test if the population standard deviation is known. |
| 28 |
$9,338 |
| 29 |
$10,339 |
| 30 |
$12,339 |
|
|
|
|
|
| Conclusion: Is the claim supported? Why or why not? |
| Hint: If the p-value is greater than the significance level, we fail to reject the null so there is not enough evidence to reject the hypothesis; we cannot support this claim. If the p-value is less than the significance level, we reject the null hypothesis so we can support this claim. |
|
|
|
|
|
| If student uses z-test; provide feedback and grade for content. |
|
|
|
|
| Hypothesis Test |
|
|
|
|
| Null Hyp: |
m |
= |
10000 |
| = |
|
|
| Alt Hyp: |
m |
> |
10000 |
| ≥ |
| ≤ |
|
|
|
| significance level = |
0.05 |
| ≠ |
|
|
|
| test statistic = |
1.19640 |
| < |
|
|
|
| critical value = |
1.69913 |
| > |
|
|
|
| p-value = |
0.12062 |
|
|
|
|
| Since |
0.1206159025 |
> |
0.05 |
we |
fail to reject |
the null: |
m |
= |
10000 |