100 150 200 250 300 350 20 10 00 10 20 30 40 Normal Probability Plot

# 100 150 200 250 300 350 20 10 00 10 20 30 40 normal

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100 150 200 250 300 350 400 -4.0 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 4.0 Normal Probability Plot Transportation expense z value The transportation expenses are not normally distributed.
0 10 20 30 40 50 60 -4 -3 -2 -1 0 1 2 3 4 Normal Probability plot Distance from residence to work z value Distance from residence to work is not normally distributed. 25 30 35 40 45 50 55 60 -4 -3 -2 -1 0 1 2 3 4 Normal probability plot age z value Age cannot be normally distributed.
15 20 25 30 35 40 -4 -3 -2 -1 0 1 2 3 4 Normal probabbility plot Body Mass Index z value Body mass index cannot be normally distributed. b) Construct a 90% confidence interval for each of the variables in part (a) which can be considered as normally distributed separating the data between Absenteeism time in hours for less than 10 and Absenteeism time in hours for 10 or more. In other words, there will be two confidence interval constructions for each normally distributed variable – one for all data with less than 10 in the last column and the other for 10 or higher value in the last column. After all the confidence intervals have been constructed, identify the variable(s) which are likely to influence absenteeism from work (i.e., identify the variables where the confidence intervals do not overlap). Here Observation of absenteeism for less than 10 hour=63 Observation of absenteeism for more than 10 hour=677 At 90% confidence interval z=1.645 For Transportation expenses Less than 10 Mean= 221.3161 Standard deviation=66.7899 Confidence Interval = 221.3161 ± 1.645 66.7899 677 =( 225.5387,217.0935 ) More than 10
Mean= 221.4762 Standard deviation=69.220 Confidence Interval = 221.4762 ± 1.645 69.22 63 =( 235.8223,207.1301 ) For Distance from Residence to work Less than 10 Mean= 29.9675 Standard deviation= 14.91 Confidence Interval = 29.9675 ± 1.645 14.91 677 =( 30.9101,29.0249 ) More than 10 Mean= 26.0159 Standard deviation= 13.6175 Confidence Interval = 26.0159 ± 1.645 26.0159 63 =( 28.8381,23.1936 ) For service time Less than 10 Mean= 12.5155 Standard deviation= 4.4524 Confidence Interval = 12.5155 ± 1.645 4.4524 677 =( 12.797,12.234 ) More than 10 Mean= 12.9689 Standard deviation= 3.5830 Confidence Interval = 12.9689 ± 1.645 3.5830 63 =( 13.7108,12.2257 )
For Age Less than 10 Mean= 36.4151 Standard deviation= 6.4625 Confidence Interval = 36.4151 ± 1.645 6.4625 677 =( 36.8236,36.0065 ) More than 10 Mean= 36.8254 Standard deviation= 6.6927 Confidence Interval = 36.8524 ± 1.645 6.6927 63 =( 38.2125,35.4383 ) For Body mass index Less than 10 Mean= 26.7563 Standard deviation= 4.3157 Confidence Interval = 26.7563 ± 1.645 4.3157 677 =( 27.0291,26.4834 ) More than 10 Mean= 25.8254
Standard deviation= 3.8752 Confidence Interval = 25.8254 ± 1.645 3.8752 63 =( 26.6285,25.0223 )

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