Reference no: EM133100921

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	[Math Processing Error]x¯1 = 21.27	[Math Processing Error]x¯2 = 24.67
Standard deviation	s 1 = 4.74	s2 = 6.39
Number of orders	n1 = 10	n2 = 17

(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

• a
• b

(b) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)

(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.)

(d-1) Make a decision.

(d-2) State your conclusion.

(e-1) Use Excel to find the p-value. (Round your answer to 4 decimal places.)

(e-2) Interpret the p-value.