A major restaurant chain claims the mean waiting time for customers is no more t

Question

A major restaurant chain claims the mean waiting time for customers is no more than 9 minutes. A random sample of 35 customers was selected and the waiting time recorded. The mean waiting time was found to be 9.95 minutes with a standard deviation of 2.00 minutes. Perform the appropriate test of hypothesis. Use this information to answer Questions 1 - 8.

1. What is the appropriate null hypothesis?

2. What is the appropriate alternative hypothesis?

3. What is the value of the test statistic?

4. What is the appropriate rejection region? (Use = 0.05.)

5. What is the appropriate conclusion?

6. What is the p-value for this problem?

7. Find a 90% confidence interval for the true mean waiting time.

8. Interpret the interval in Exercise 7.

Explanation / Answer

1) THE NULL HYPOTHESIS = Ho=U= 9

2) the alternate hypothesis = Ha= U>9.95

3) THE TEST STATIC = (X-MEAN)/STANDARD DEVIATION.SQRT(N)

= (9.95-9) / (2/SQRT(35))

= 2.81

4) THE DEGREE OF FREEDOM = 35-1 = 35

ALPHA = 0.05

THEREFORE FROM THE T TABLE THE CRITICAL AREA = T>1.69

5)AS WE HAVE TEST STATIC = 2.81>1.69

THEREFORE WE WILL REJECT THE NULL HYPOTHESIS

6) THE P VALUE WILL BE TAKEN FROM THE TABLE

FOR TEST STATIC = 2.81 AND DEGREE OF FREEDOM = 34

THEREFORE THE P = 0.0040

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