The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 2.15 entrees per order. On a particular Saturday afternoon, a random sample of 48 Noodles orders had a mean number of entrees equal to 2.4 with a standard deviation equal to 0.84. At the 2 percent level of significance, does this sample show that the average number of entrees per order was greater than expected? (a) Choose the correct null and alternative hypotheses. H0: μ ≥ 2.15 vs. H1: μ < 2.15H0: μ ≤ 2.15 vs. H1: μ > 2.15H0: μ = 2.15 vs. H1: μ ≠ 2.15 ab c (b-1) Calculate the t statistic. (Round your answer to 2 decimal places.) tcalc Not attempted (b-2) Find the p-value. (Round your answer to 4 decimal places.) p-value Not attempted (c) Choose the correct conclusion.Because the p-value is less than 0.02, we conclude that there is evidence to indicate a significant increase in the average number of entrees per order.Because the p-value is greater than 0.02, we conclude that there is no evidence to indicate a significant increase in the average number of entrees per order.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 2.15 entrees per order. On a particular Saturday afternoon, a random sample of 48 Noodles orders had a mean number of entrees equal to 2.4 with a standard deviation equal to 0.84. At the 2 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?

(a) Choose the correct null and alternative hypotheses.

H₀: μ ≥ 2.15 vs. H₁: μ < 2.15
H₀: μ ≤ 2.15 vs. H₁: μ > 2.15
H₀: μ = 2.15 vs. H₁: μ ≠ 2.15

(b-1) Calculate the t statistic. (Round your answer to 2 decimal places.)

t_calc Not attempted

(b-2) Find the p-value. (Round your answer to 4 decimal places.)

p-value Not attempted

(c) Choose the correct conclusion.

Because the p-value is less than 0.02, we conclude that there is evidence to indicate a significant increase in the average number of entrees per order.
Because the p-value is greater than 0.02, we conclude that there is no evidence to indicate a significant increase in the average number of entrees per order.

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