Question:
The weights of 60 children born to mothers in a small rural hospital were recorded.
|
3.63
3.54
3.15
3.90
4.29
4.06
2.91
3.36
3.38
2.22
|
3.79
3.57
3.44
2.58
4.23
4.76
3.09
3.65
3.23
3.97
|
3.46
2.70
3.12
3.82
3.75
3.54
3.34
3.00
4.44
1.91
|
2.82
3.52
3.27
3.04
4.36
3.70
3.74
3.19
2.36
4.26
|
3.36
3.42
4.14
4.02
3.89
3.60
3.46
4.50
4.09
3.50
|
4.17
3.52
3.93
3.41
3.49
2.64
5.02
2.52
3.85
3.54
|
a) Calculate the mean, median, sample variance, and standard deviation of these results.
b) Calculate the 95% confidence intervals for this data set. Explain what these results are telling us in your own words. (Analyze - one sample t-test 95%)
c) What does a standard deviation tell you?
d) Suppose it is believed that the average weight for these children is 3 kg. At the 5% level of significance test whether the true weight for this group is 3 kg against the alternative hypothesis that the average weight is greater than 3 kg. You may assume that the data are normally distributed.
e) Draw a P-P plot for this data set. Would you consider this data to be normally distributed? Please justify your answer. (descriptive P-P plot)