Amanager of a pizza restaurant has changed the restaurant's delivery prOcess in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 49 orders using the new delivery process yields a sample mean of 22.6 minutes and a sample standard deviation of 5 minutes. Complete parts (a) through (d) below a. Using the critical value approach, at the 0.01 level of significance, is there evidence that the population mean delivery time has been reduced beloOw the previous population mean value of 25 minutes? State the null and alternative hypotheses for this test. OC Ho p2 25 OA Ho p<25 Hi p2 25 O B. Ho µz22,6 Hi p< 22 6 Hi µ< 25 OD. Ho ps22.6 H p> 22.6 O E. Ho p> 25 Hi us 25 OF Ho ps 25 th p> 25

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A manager of a pizza restaurant has changed the restaurant's delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 49 orders using the new delivery process yields a sample mean of 22.6 minutes and a sample standard deviation of 5 minutes. Complete parts (a) through (d) below.

a. Using the critical value approach, at the 0.01 level of significance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes?

State the null and alternative hypotheses for this test.

Choices:
- A. \( H_0: \mu \leq 25 \)
       \( H_1: \mu > 25 \)

- B. \( H_0: \mu \geq 22.6 \)
       \( H_1: \mu < 22.6 \)

- C. \( H_0: \mu \geq 25 \)
       \( H_1: \mu < 25 \)

- D. \( H_0: \mu \leq 22.6 \)
       \( H_1: \mu > 22.6 \)

- E. \( H_0: \mu \geq 25 \)
       \( H_1: \mu \leq 25 \)

- F. \( H_0: \mu \leq 25 \)
       \( H_1: \mu \geq 25 \)
Transcribed Image Text:A manager of a pizza restaurant has changed the restaurant's delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 49 orders using the new delivery process yields a sample mean of 22.6 minutes and a sample standard deviation of 5 minutes. Complete parts (a) through (d) below. a. Using the critical value approach, at the 0.01 level of significance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes? State the null and alternative hypotheses for this test. Choices: - A. \( H_0: \mu \leq 25 \) \( H_1: \mu > 25 \) - B. \( H_0: \mu \geq 22.6 \) \( H_1: \mu < 22.6 \) - C. \( H_0: \mu \geq 25 \) \( H_1: \mu < 25 \) - D. \( H_0: \mu \leq 22.6 \) \( H_1: \mu > 22.6 \) - E. \( H_0: \mu \geq 25 \) \( H_1: \mu \leq 25 \) - F. \( H_0: \mu \leq 25 \) \( H_1: \mu \geq 25 \)
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