(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 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 (d-1) Make a decision. We (Click to select) reject do not reject the null hypothesis. (d-2) State your conclusion. We (Click to select) 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 (Click to select) reject do not reject the null hypothesis.
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 ≠ 0
b. 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
(d-1) Make a decision.
We (Click to select) reject do not reject the null hypothesis.
(d-2) State your conclusion.
We (Click to select) 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 (Click to select) reject do not reject the null hypothesis.
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