We considered the mean waiting time at the drive-through of afast-food restaurant. In addition to concern about the amount oftime cars spend in the drive-through, the manager is also worriedabout the variability in wait times. Prior to the new drive-throughsystem, the standard deviation of wait times was 18.0 seconds. Usethe data in the table below to decide whether there is evidence tosuggest the standard deviation wait-time is less than 18.0 seconds.Recall that in Homework 1-3, we verified this data could have comefrom a population that is normally distributed. Use the α = 0.05level of significance.

108.5	67.4	58.0	75.9	65.1
80.4	95.5	86.3	70.9	72.0

On a separate sheet of paper, write down the hypotheses(H₀ and H_a) to be tested.

Conditions:
a. The χ² (\"chi-square\") test for standarddeviations_______ (is / is not)appropriate for this data.

Rejection Region:
b. To test the given hypotheses, we will use a(left / right /two)________ -tailed test.  
The appropriate critical value(s) for this test is/are______.  (Report your answer exactly as it appears in TableVII. For two-tailed tests, report both critical values in theanswer blank separated by only a single space.)

The test statistic for this test isχ²₀=.  (Calculate this value ina single step in your calculator, and report your answer rounded to3 decimal places.)

c. We ______(reject / fail toreject) H₀.
d. The given data _______ (does / doesnot) provide significant evidence that the standarddeviation of wait times under the new method is less than 18.0seconds.