A study assessed fatigue in Chicago public school teachers due to stress. A random sample of 47 teachers had the following post-work heart rates: 71.6 70.9 67.4 65.6 72.7 70.8 73.9 77.5 68.8 70.2 74.5 67.7 77.5 69.8 72.9 71.4 68.9 72.8 73.1 66.4 67.5 69.6 72 69.3 73.7 71 65.9 65 71.6 66.2 67.2 66.5 72 77.3 71.6 68.1 70.7 66.3 59.8 66.1 72.2 70.9 68.2 76.3 67.9 74.5 66.9       Assume that the population standard deviation of post-work heart rates for Chicago public school teachers is 3.7 bpm. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean post-work heart rate for Chicago public school teachers is different from the normal resting heart rate of 70 bpm? (Note: The average and the standard deviation of the data are respectively 70.19 bpm and 3.66 bpm.) Procedure:       Assumptions: (select everything that applies) Population standard deviation is known Population standard deviation is unknown Sample size is greater than 30 Normal population Simple random sample The number of positive and negative responses are both greater than 10

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A study assessed fatigue in Chicago public school teachers due to stress. A random sample of 47 teachers had the following post-work heart rates:
71.6 70.9 67.4 65.6 72.7
70.8 73.9 77.5 68.8 70.2
74.5 67.7 77.5 69.8 72.9
71.4 68.9 72.8 73.1 66.4
67.5 69.6 72 69.3 73.7
71 65.9 65 71.6 66.2
67.2 66.5 72 77.3 71.6
68.1 70.7 66.3 59.8 66.1
72.2 70.9 68.2 76.3 67.9
74.5 66.9      
Assume that the population standard deviation of post-work heart rates for Chicago public school teachers is 3.7 bpm. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean post-work heart rate for Chicago public school teachers is different from the normal resting heart rate of 70 bpm? (Note: The average and the standard deviation of the data are respectively 70.19 bpm and 3.66 bpm.)

Procedure:      

Assumptions: (select everything that applies)

  • Population standard deviation is known
  • Population standard deviation is unknown
  • Sample size is greater than 30
  • Normal population
  • Simple random sample
  • The number of positive and negative responses are both greater than 10
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