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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 | ||
Statistic | Friday Night | Saturday Night |
Mean order size | x¯1x¯1 = 21.62 | x¯2x¯2 = 25.69 |
Standard deviation | s1 = 4.34 | s2 = 6.27 |
Number of orders | n1 = 14 | n2 = 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: 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 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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