Table 1 shows the carbon monoxide (CO) measurements in Shah Alam air during 9am and 5pm for a randomly selected 10 days. Measurement are parts per million. The objective of the study is to see whether...

Table 1 shows the carbon monoxide (CO) measurements in Shah Alam air during 9am and 5pm for a randomly selected 10 days. Measurement are parts per million. The objective of the study is to see whether the CO concentrations at 9am is different from 5pm.

Table 1

Day	9am	5pm
1	1.6	0.6
2	2.7	2.3
3	0.9	0.6
4	0.5	0.3
5	0.2	0.3
6	0.4	1.0
7	2.8	2.8
8	6.1	4.3
9	2.0	2.6
10	1.1	1.2

a)

Calculate the mean and standard deviation of CO concentrations for both hours.

b)

Assuming population variances are equal conduct an appropriate test to test whether there is a significant different of CO concentrations between 9am and 5pm at
a

= 0.05.

c)

Based on your answers in (a) and (b) summarize the different levels of CO concentrations between the two hours.

SBSC4103: Measurement and Evaluation in Science QUESTION 1 Table 1 shows the carbon monoxide (CO) measurements in Shah Alam air during 9am and 5pm for a randomly selected 10 days. Measurement are parts per million. The objective of the study is to see whether the CO concentrations at 9am is different from 5pm. Table 1 Day 9am 5pm 1 1.6 0.6 2 2.7 2.3 3 0.9 0.6 4 0.5 0.3 5 0.2 0.3 6 0.4 1.0 7 2.8 2.8 8 6.1 4.3 9 2.0 2.6 10 1.1 1.2 a) Calculate the mean and standard deviation of CO concentrations for both hours. b) Assuming population variances are equal conduct an appropriate test to test whether there is a significant different of CO concentrations between 9am and 5pm at ( = 0.05. c) Based on your answers in (a) and (b) summarize the different levels of CO concentrations between the two hours. [Total: 20 / 60 marks] QUESTION 2 Table 2 contains data from individuals whose blood pressure was measured while they were performing several physical and mental stressor tasks: at rest, performing mental arithmetic, and immersing a hand in ice water. Table 2 At rest Performing Mental Arithmetic Immersing a Hand in Ice Water 116 115 120 113 110 135 130 135 128 121 126 125 149 113 112 a) Construct a complete Analysis of Variance table. b) At ( = 0.05, test whether the blood pressure changed significantly during the three tasks examined in this study. [Total: 20 / 60 marks] QUESTION 3 Nutrition and sports experts concern themselves with a person’s percentage of total body weight made up of fat. A sports researcher is interested to know if height is related to body fat percentage. He collected data from 12 football players as shown in table 3. Table 3 Player Height (cm) Body Fat (%) 1 2 3 4 5 6 7 8 9 10 11 12 172 183 168 183 180 179 177 174 177 176 179 183 12.3 6.1 25.3 10.4 28.7 20.9 19.2 12.4 4.1 11.7 7.1 7.8 a) Calculate the Pearson correlation coefficient between height and body fat. b) Test whether there exists correlation between height and body fat using ( = 0.05. c) Based on your answers in (a) and (b), comment the overall relationship between height and body fat. [Total: 20 / 60 marks]