The average take-out order size for Ashoka Curry House restaurant is shown. Assuming equal variances, at α = 0.05, is there a significant difference in the order sizes?
 

Customer Order Size
Statistic	Friday Night	Saturday Night
Mean order size	x¯1x¯1 = 21.62	x¯2x¯2 = 25.69
Standard deviation	s1 = 4.34	s2 = 6.27
Number of orders	n1 = 14	n2 = 19

(a) Choose the appropriate hypotheses. Assume μ₁ is the average order size on Friday night and μ₂ is the average order size on Saturday night.
 
a. H₀: μ₁ − μ₂ = 0 vs H₁: μ₁ − μ₂ ≠ 0
b. H₁: μ₁ − μ₂ ≠ 0 vs H₀: μ₁ − μ₂ = 0
 

multiple choice 1

• a

• b

 
(b) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
 
Reject the null hypothesis if t_calc >  or t_calc <.
 
(c) Find the test statistic t_calc. (A negative value should be indicated by a minus sign. Do not round your intermediate values and round your final answer to 4 decimal places.)
 
t_calc         
 
(d-1) Make a decision.
 
We   (Click to select)   do not reject   reject  the null hypothesis.
 
(d-2) State your conclusion.
 
We   (Click to select)   cannot   can  conclude that there is a significant difference in the order sizes.
 
(e-1) Use Excel to find the p-value. (Round your answer to 4 decimal places.)
 
p-value          
 
(e-2) Interpret the p-value.
 
We   (Click to select)   do not reject   reject  the null hypothesis.