Find the test statistic

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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. H0μ1 - μ2 = 0 vs H1μ1 - μ2 ≠ 0
b. H1μ1 - μ2 ≠ 0 vs H0μ1 - 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 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.)

(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.

Reference no: EM133100921

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