As part of the National Health and Nutrition Examination Survey, the Department of Health and Human Services obtained self-reported heights and measured heights for males aged 12—16. You may also assume that the samples are from normal populations. All measurements are in inches. Listed below are sample results. Male Reported Height (inches) Measured Height (inches) Difference (inches) 1 66.1 64.9 1.2 2 73.6 74 -0.4 3 73.9 73.9 0 4 68.8 67.7 1.1 5 65 64.6 0.4 6 67.7 67.5 0.2 7 69.9 69 0.9 8 69.3 67.9 1.4 9 71.4 70.4 1 10 68.4 66.9 1.5 Sample mean 69.41 68.68 0.73 Standard Deviation 2.92 3.26 0.64 Use 5% level of significance to decide whether there is sufficient evidence that the self-reported mean male height is different from the measured mean male height. Procedure:         Assumptions: (select everything that applies) Population standard deviation are unknown Independent samples Simple random samples Normal populations Sample sizes are both greater than 30 Paired samples Population standard deviation are unknown but assumed equal The number of positive and negative responses are both greater than 10 for both samples Population standard deviations are known

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As part of the National Health and Nutrition Examination Survey, the Department of Health and Human Services obtained self-reported heights and measured heights for males aged 12—16. You may also assume that the samples are from normal populations. All measurements are in inches. Listed below are sample results.

Male Reported Height (inches) Measured Height (inches) Difference (inches)
1 66.1 64.9 1.2
2 73.6 74 -0.4
3 73.9 73.9 0
4 68.8 67.7 1.1
5 65 64.6 0.4
6 67.7 67.5 0.2
7 69.9 69 0.9
8 69.3 67.9 1.4
9 71.4 70.4 1
10 68.4 66.9 1.5

Sample mean

69.41 68.68 0.73
Standard Deviation 2.92 3.26 0.64

Use 5% level of significance to decide whether there is sufficient evidence that the self-reported mean male height is different from the measured mean male height.

Procedure:        

Assumptions: (select everything that applies)

  • Population standard deviation are unknown
  • Independent samples
  • Simple random samples
  • Normal populations
  • Sample sizes are both greater than 30
  • Paired samples
  • Population standard deviation are unknown but assumed equal
  • The number of positive and negative responses are both greater than 10 for both samples
  • Population standard deviations are known
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