See below
Statistical Test
| Day Customer | |
| Mean | 28.34 |
| Standard Error | 1.19 |
| Median | 27.44 |
| Mode | #N/A |
| Standard Deviation | 6.53 |
| Sample Variance | 42.70 |
| Kurtosis | -0.73 |
| Skewness | 0.12 |
| Range | 24.77 |
| Minimum | 16.11 |
| Maximum | 40.88 |
| Sum | 850.21 |
| Count | 30 |
| Evening Customer | |
| Mean | 30.52 |
| Standard Error | 1.01 |
| Median | 29.92 |
| Mode | #N/A |
| Standard Deviation | 5.53 |
| Sample Variance | 30.58 |
| Kurtosis | 2.88 |
| Skewness | 1.08 |
| Range | 28.42 |
| Minimum | 19.35 |
| Maximum | 47.78 |
| Sum | 915.65 |
| Count | 30 |
H0: µ day purchase and µ evening purchase are =
Ha: µ day purchase and µ evening purchase are ≠
| t-Test: Two-Sample Assuming Equal Variances | ||
| Evening Customer Purchase | Day Customer Purchase | |
| Mean | 30.52165 | 28.34023 |
| Variance | 30.57968 | 42.7006 |
| Observations | 30 | 30 |
| Pooled Variance | 36.64 | |
| Hypothesized Mean Difference | 0 | |
| df | 58 | |
| t Stat | 1.3948 | |
| P(T<=t) one-tail | 0.084 | |
| t Critical one-tail | 1.671553 | |
| P(T<=t) two-tail | 0.1681 | |
| t Critical two-tail | 2.001717 |
= the number of the evening customers
= the number of the day customers
= the pooled estimate of the population variance
= the sample variance of the evening customers
= the sample variance of the day customers
=
=
Reject
Reject
Fail to Reject
-2.00
2.00
t= 1.39
If the test statistic is less than 2.00 or greater than 2.00, then we would reject the null hypothesis. The test statistic is 1.39, which would therefore fall into the fail to reject region.