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The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the
The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times if less than 2.1 mins, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Assume that the sample is a simple random sample selected from a normally distributed population. Complete parts (a) through (d) below. A. Identify the null and alternative hypotheses. Choose the correct answer below. a. H0: =2.1 mins Ha: <2.1 mins b. H0: <2.1 mins Ha: =2.1 mins c. H0: >/= 2.1 mins Ha: <2.1 mins d. H0: =2.1 mins Ha: 2.1 mins B. Compute the test statistic. X^2= __ (round to two decimal places as needed.) C. Find the p-value of the test statistic __ (round to three decimal places as needed.) D. Does the use of the single line appear to reduce the variation among waiting times? There (is or is not) sufficient evidence to conclude that the single lien reduced the variation among waiting times because H0 is (not rejected or rejected) by the hypothesis test. Table: 7.6. 7.1. 6.1. 7.3 6.9. 7.1. 6.4. 6.1 6.6. 7.9. 8.3. 7.7 7.3. 7.7. 7.6. 7.2 6.4. 8.3 5.3. 6.9 6.5. 6.7. 7.1. 8.1 7.2. 7.9. 7.2. 6.9 7.3. 6.8. 6.3. 7.7 6.2. 7.5. 6.4. 8.7 7.9. 7.7. 7.3. 6.2 8.3. 7.5. 6.5. 6.8 8.9. 7.4. 7.3. 7.8 9.3. 7.5. 6.2. 7.8 7.9. 7.9. 6.3. 6.3 6.4. 7.6. 6.3. 6.8
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