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Homework answers / question archive / Step 1:Once you click each link, you will be logged into the Library and then click on "PDF Full Text"
Step 1:Once you click each link, you will be logged into the Library and then click on "PDF Full Text".
Step 2: Consider the use of confidence intervals in health sciences with these articles as inspiration and insights.
Step 3: Using the data you collected for the Week 5 Lab (heights of 10 different people that you work with), discuss your method of collection for the values that you are using in your study. What are some faults with this type of data collection? What other type of data collection could you have used, and how might this have affected your study?
Step 4: Now use the Week 6 Spreadsheet(Links to an external site.) to help you with calculations for the following questions/statements.
Step 5: Now, find a 99% confidence interval for the same data. Would the margin of error be larger or smaller for the 99% CI? Explain your reasoning.
Step 6: Save the Week 7 Lab document with your answers and include your name in the title.
Step 7: Submit the document.
Week 5 Lab
This study was carried out to determine the height of individuals I work with. To carry out the study, a random sample of 10 coworkers was selected, and their heights measured in inches. According to Feller (2015), the mean is the summation of all data values divided by the number of data values, while standard deviation is the spread of data values from the mean. The mean height of the students was 65.2 inches, and the standard deviation was 2.83 as shown in the table below,
Table 1
Mean 
65.2 
standard deviation 
2.83 
Having a height of 64.25 inches, the average height of my coworkers in the group was shorter. A random sampling method was used to gather this data. The age range of the workers was 25 years, is the minimum age, and 40 years was the maximum age.
Table 2
Age 
Frequency 
25 

30 

32 

35 

39 

40 

Grand Total 
10 
The collected data showed that there were five males and five females, as shown in the table below.
Table 3
Gender 
Count 
Grand Total 
10 
Figure 1
The above figure showed that 50% of the selected sample were males and 50% females.
The study also comprised the weight of the coworkers where it was observed that the minimum weight of the students in the group was 110 lbs, while the maximum weight was 134 lbs, as indicated in the table below.
Table 4
Weight 
Frequency 
110114 

115119 

120124 

125129 

130134 

Grand Total 
10 
Empirical rule
Table 5
Empirical Rule 
689599.7 


Lower number 
Upper number 
68% 
65.36740202 
74.43259798 
95% 
60.83480404 
78.96519596 
99.70% 
56.30220606 
83.49779394 
Results from table 5 showed, at 1 standard deviation, the mean height of coworkers lied within (65.37,74.43) of the true value. The results also indicated that at 2 standard deviation the mean height of the coworkers lied within (60.83,78.97) while at 3 standard deviation the height lied within (56.30,83.49) of the true mean. It’s clear that the range becomes larger as the size of the standard deviation increases.
Normal probability
Normal probability distribution indicates the probability of how a given data is far from the mean (Laha, 2014).
Table 6
Mean 
69.9 
standard deviation 
4.532598 


p(x<X) 
0.6380 
x=71.5 

The value x=71.5 indicated my weight. The results showed that the probability that the participants were shorter than my height was 0.6380, as shown in the above table. This implied that 63.8% of the participants were shorter than my height, with 36.2% being taller.