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?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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 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

 

 

  1. 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.

 

  1. Is this a test for a population proportion or a population mean?
  2. What distribution is used to conduct this test?
  3. Is this a left-tailed, right-tailed, or two-tailed test?

 

  1. State AND verify all assumptions required for this test.

              [HINT: This test should have two assumptions to be verified.]

 

  1. State the null and alternate hypotheses for this test: (use correct symbols and format!)

 

                Null hypothesis : :

              Alternate hypothesis : :

  1. 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  :

 

  1. 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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