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 1.6 entrees per order. On a particular Saturday afternoon, a random sample of 30 Noodles orders had a mean number of entrees equal to 2 with a standard deviation equal to 0.88. At the 5 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?

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

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

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.6 entrees per order. On a particular Saturday afternoon, a random sample of 30 Noodles orders had a mean number of entrees equal to 2 with a standard deviation equal to 0.88. At the 5 percent level of significance, does this sample show that the average number of entrees per order was greater than expected?

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 1.6
HA : > 1.6

Hypothesis test results:

a) H0: 1.6 vs. H1: > 1.6

Option B is correct.

b) Test statistic = 2.49

c) p - Value = 0.0094

d) Because the p-value is less than 0.05, we conclude that there is evidence to indicate a significant increase in the average number of entrees per order.

Option B is correct.

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