TIME WASTED AT WORK? An employment survey at a local small business was conducted to see how much time is wasted at work by employees during an 8-hour workday. Below are the results of a random sample of 10 employees employed at this small business who were asked to truthfully and anonymously record how much time in minutes is wasted in an 8-hour workday. The owner of the small business claims less than 115 minutes is wasted in an 8-hour workday. Does this data provide evidence to support the claim that employees waste less than 115 minutes in an 8-hour workday at α=.05? 108 112 117 130 111 131 113 113 105 128 Demonstrate this sample came from an approximately normal population by producing a graph. (Histogram, boxplot, dot plot or stem plot) Copy and paste your graph here. Is this a test for a population proportion or a population mean? What distribution is used to conduct this test? Is this a left-tailed, right-tailed, or two-tailed test? State AND verify all assumptions required for this test. [HINT: This test should have two assumptions to be verified.] State the null and alternate hypotheses for this test: (use correct symbols and format!) Null hypothesis : : Alternate hypothesis : : Run the correct hypothesis test and provide the information below. Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places). Test Statistic: Critical value [HINT: this is NOT ] : Degrees of freedom: p-value : State your statistical decision (Justify it using the p-value or critical value methods!) and interpret your decision within the context of the problem. What is your conclusion?
TIME WASTED AT WORK?
An employment survey at a local small business was conducted to see how much time is wasted at work by employees during an 8-hour workday. Below are the results of a random sample of 10 employees employed at this small business who were asked to truthfully and anonymously record how much time in minutes is wasted in an 8-hour workday. The owner of the small business claims less than 115 minutes is wasted in an 8-hour workday. Does this data provide evidence to support the claim that employees waste less than 115 minutes in an 8-hour workday at α=.05?
108 |
112 |
117 |
130 |
111 |
131 |
113 |
113 |
105 |
128 |
- Demonstrate this sample came from an approximately normal population by producing a graph. (Histogram, boxplot, dot plot or stem plot) Copy and paste your graph here.
- Is this a test for a population proportion or a population mean?
- What distribution is used to conduct this test?
- Is this a left-tailed, right-tailed, or two-tailed test?
- State AND verify all assumptions required for this test.
[HINT: This test should have two assumptions to be verified.]
- State the null and alternate hypotheses for this test: (use correct symbols and format!)
Null hypothesis : :
Alternate hypothesis : :
- Run the correct hypothesis test and provide the information below. Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places).
Test Statistic:
Critical value [HINT: this is NOT ] :
Degrees of freedom:
p-value :
- State your statistical decision (Justify it using the p-value or critical value methods!) and interpret your decision within the context of the problem. What is your conclusion?
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