a local eat-in pizza restaurant wants to investigate the possibility of starting

Question

a local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. the owner of the store has determined the home delivery will be successful if the average time spent on deliveries does not exceed 40 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 40 minutes. What assumption is necessary for this test to be valid?
A) none. The central limit theorem makes any assumptions unnecessary. B) the sample mean delivery time must equal the population mean delivery time C) the population delivery times must have a normal distribution approximately l D). The population variance must equal the population mean a local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. the owner of the store has determined the home delivery will be successful if the average time spent on deliveries does not exceed 40 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 40 minutes. What assumption is necessary for this test to be valid?
A) none. The central limit theorem makes any assumptions unnecessary. B) the sample mean delivery time must equal the population mean delivery time C) the population delivery times must have a normal distribution approximately l D). The population variance must equal the population mean a local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. the owner of the store has determined the home delivery will be successful if the average time spent on deliveries does not exceed 40 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 40 minutes. What assumption is necessary for this test to be valid?
A) none. The central limit theorem makes any assumptions unnecessary. B) the sample mean delivery time must equal the population mean delivery time C) the population delivery times must have a normal distribution approximately l D). The population variance must equal the population mean

Explanation / Answer

The assumption required for making the hypothesis test here is that the population delivery times must have a normal distribution approximately . We dont know the population standard deviation here and so we will use the sample standard deviation to do the test. The t-distribution would be used to do the test.

Therefore c) is the correct answer here.

Note that b) is not correct because the sample mean may not be equal to the population mean but it is just an estimate for the population mean. We use sample mean to compute a confidence interval for the true population mean.

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