Math  /  Data & Statistics

QuestionPart 2 of 4 Points: 0.6 of 1 Save e 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 waiting times is less than 1.7 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a nificance level of 0.01 . Assume that the sample is a simple random sample selected from a normally distributed population. Complete parts (a) through (d) below.
Click on the icon to view the data. dentify the null and alternative hypotheses. Choose the correct answer below. A. H0:σ=1.7H_{0}: \sigma=1.7 minutes HA:σ<1.7H_{A}: \sigma<1.7 minutes C. H0:σ<1.7H_{0}: \sigma<1.7 minutes HA:σ=1.7\mathrm{H}_{\mathrm{A}}: \sigma=1.7 minutes
Oompute the test statistic. \square und to two decimal places as needed.) Customer Waiting Times \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{\begin{tabular}{c} Customer Waiting Times \\ (in minutes) \end{tabular}} \\ \hline 7.2 & 7.4 & 8.8 & 7.7 \\ \hline 6.7 & 7.8 & 6.8 & 7.1 \\ \hline 6.1 & 7.5 & 8.5 & 7.6 \\ \hline 7.1 & 6.9 & 5.4 & 6.9 \\ \hline 8.6 & 8.5 & 9.3 & 7.9 \\ \hline 7.3 & 8.4 & 6.9 & 7.4 \\ \hline 6.2 & 6.2 & 7.4 & 6.7 \\ \hline 7.3 & 6.3 & 7.1 & 7.9 \\ \hline 7.6 & 9.2 & 6.3 & 6.7 \\ \hline 6.1 & 6.8 & 7.7 & 7.8 \\ \hline 7.6 & 6.5 & 7.5 & 6.9 \\ \hline 8.7 & 6.7 & 7.7 & 6.4 \\ \hline 8.9 & 6.3 & 8.6 & 6.1 \\ \hline 7.5 & 6.4 & 6.2 & 8.5 \\ \hline 6.6 & 7.9 & 6.6 & 7.8 \\ \hline \end{tabular}

Studdy Solution
Compare the test statistic with the critical value to make a decision:
- If the test statistic is less than the critical value, reject the null hypothesis. - Otherwise, do not reject the null hypothesis.
The test statistic is χ2\boxed{\chi^2} (rounded to two decimal places as needed).

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