Reference no: EM132488013

Problem: 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¯1 = 22.49 x¯2 = 24.71  

Standard deviation s₁ = 4.57 s₂ = 6.14  

Number of orders n₁ = 15 n₂ = 20

(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

(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 reject/do not reject the null hypothesis.

(d-2) State your conclusion.

We can/cannot 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 reject/do not reject the null hypothesis.