Bruce treadmill test is utilized to assess exercise capacity in children and adults. Cumming, Everatt and hastman(1978) studied distribution of bruce tread mill test endurance times in normal children. Mean endurance time for a sample of 36 girls 4-5 years old was 9.5 minutes with standard deviation of 1.86 minutes. If suppose that these are true population mean and standard deviation and if we also suppose that the patience times follow normal distribution, determine the probability of observing a 4 year old girl with the endurance of less than 7 minutes? 36 values given here are based on summary statistics from research by cumming. Do you think that these data are normally distributed? Describe your answer.
5.3
|
8.8
|
10.6
|
6.5
|
8.8
|
10.8
|
7
|
8.9
|
11
|
7.2
|
9
|
11.2
|
7.5
|
9
|
12.1
|
8
|
9
|
12.3
|
8
|
9
|
11.5
|
8
|
9.5
|
11.5
|
6
|
9.8
|
12.2
|
8.2
|
9.8
|
12.4
|
8.5
|
10
|
12.7
|
8.5
|
11
|
11.3
|