please solve both a and b to this question You are the manager of a restaurant f

Question

please solve both a and b to this question

You are the manager of a restaurant for a fast-food franchise Last month, the mean wating tirme at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.8 minutes. You select a random sample of 81 orders. The sample mean wating time is 3.98 minutes, with a sample standard deviation of 0.9 minute. Complete parts (a) and (b) below a. At the 001 evel of significance, s there evidence that the population mean waiting time s diferent trom 3 8 minutes? State the null and aiternative hypotheses Type integers or decimals.) Determine the test statistic. The test statistic is Round to two decimal places as needed) Find the p-value p value (Round to three decimal paces as needed ) Click to select your answer(s) 221 PM Reflect in ePortfolio

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 3.8
HA : ? ? 3.8

Hypothesis test results:

Hence,

a) Hypotheses:

H0 : ? = 3.8
HA : ? ? 3.8

Test statistic = 1.8

p - Value = 0.076

Fail to reject; insufficient

b) Option B is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value ? 3.98 0.1 80 1.8 0.0756

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