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 (dollars) Statistic Friday Night Saturday Night Mean order size x⎯⎯1x¯1 = 22.32 x⎯⎯2x¯2 = 25.56 Standard deviation s1 = 4.35 s2 = 6.16 Number of orders n1 = 13 n2 = 18   (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 ≠ 0b. H1: μ1 − μ2 ≠ 0 vs H0: μ1 − μ2 = 0  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

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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 (dollars)
Statistic Friday Night Saturday Night
Mean order size x⎯⎯1x¯1 = 22.32 x⎯⎯2x¯2 = 25.56
Standard deviation s1 = 4.35 s2 = 6.16
Number of orders n1 = 13 n2 = 18
 

(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. H0μ1 − μ2 = 0 vs H1μ1 − μ2 ≠ 0
b. H1μ1 − μ2 ≠ 0 vs H0μ1 − μ2 = 0
 

  • 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           

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