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PhStat solution:
The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which infrared cameras use body heat and in-store software to determine how many lines should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 4.25 minutes with a sample standard deviation of 2.7 minutes.
1. State your decision rule.
2. What is your decision?
3. At 0.05 level of significance, using the critical value approach, is there evidence that the population mean waiting time to check out is greater than 4 minutes?
4. Determine p-value and interpret its meaning.
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Sample with n=49 has mean x¯ = 122. Distribution is Normal and standard deviation s = 30.
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