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 is less than 1.3 minutes, w deviation of walting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Complete parts (a) through (d) below. E Click on the icon to view the data. a. Identify the null and altemative hypotheses. Choose the correct answer b O Customer Waiting Times OA Ho:0=1.3 minutes HAO13 minutes C. Ho: o1.3 minutes HA:o<13 minutes Customer Waiting Times (in minutes) 6.1 6.8 6.8 7.2 8.7 6.1 6.8 7.5 6.7 7.8 7.4 6.2 b. Compute the test statistic. 6.6 7.6 10.3 6.9 6.4 7.7 4.4 6.5 7.2 7.8 7.3 7.7 6.4 (Round to two decimal places as needed.) 7.1 6.5 6.9 6.2 6.7 7.3 72 6.6 7.6 6.3 6.2 6.2 7.4 7.1 8.1
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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