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

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
StatisticFriday NightSaturday Night
Mean order sizex¯1x¯1 = 21.62x¯2x¯2 = 25.69
Standard deviations1 = 4.34s2 = 6.27
Number of ordersn1 = 14n2 = 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: μ1μ2 = 0 vs H1: μ1μ2 ≠ 0
b. H1: μ1μ2 ≠ 0 vs H0: μ1μ2 = 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 tcalc >  or tcalc <.
 
(c) Find the test statistic tcalc. (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.)
 
tcalc         
 
(d-1) Make a decision.
 
We the null hypothesis.
 
(d-2) State your conclusion.
 
We 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 the null hypothesis.

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