See below

profilePreference
qs2-presentation.pptx

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.