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 = 21.03 x¯2x¯2 = 24.78 Standard deviation s1 = 4.93 s2 = 6.29 Number of orders n1 = 13 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 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
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 = 21.03 x¯2x¯2 = 24.78 Standard deviation s1 = 4.93 s2 = 6.29 Number of orders n1 = 13 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 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
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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 = 21.03 | x¯2x¯2 = 24.78 |
| Standard deviation | s1 = 4.93 | s2 = 6.29 |
| Number of orders | n1 = 13 | 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
-
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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