The number of entrees purchased in a single order at a Noodles & Company restaur

Question

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.7 entrees per order. On a particular Saturday afternoon, a random sample of 48 Noodles orders had a mean number of entrees equal to 2.1 with a standard deviation equal to 1.01. 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 a. H_0: mu greaterthanorequalto 1.7 vs. H_1: mu 1.7 c. H_0: mu = 1.7 vs. H_1: mu notequalto 1.7 a b c (b - 1) Calculate the t statistic. (Round your answer to 2 decimal places.) t_calc ______ (b - 2) Find the p-value. (Round your answer to 4 decimal places.) p-value _________ (c) Choose the correct conclusion. 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. 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.

Explanation / Answer

a) Answer is correct

b1) Test Statistic = ((2.1-1.7)/1.01)*Sqrt(48) = 2.74

b2) P value = P( t>2.74) = 0.0043

C) Option B is correct

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