A group of investigators are studying a treatment that can help reducing LDL Cho
ID: 2907250 • Letter: A
Question
A group of investigators are studying a treatment that can help reducing LDL Cholesterol level. The following data shows the LDL at the beginning and the end of the observation period from a sample of participants randomly selected from a specific patient population who received the treatment.
Data:
Subject ID
1
2
3
4
5
6
7
LDL at the beginning
156
143
153
153
164
161
158
LDL at the end
136
113
101
122
129
135
133
Perform a t-test to test whether the average reduction in LDL (use LDL at the beginning minus LDL at the end) is greater than 30, at 5% level of significance. You should compute the reduction measures first using LDL at the beginning subtract LDL at the end. Please include output tables or charts from statistical software that are useful in supporting and interpreting your result. You must state null and alternative hypothesis, check normality assumption, present p-value, report test statistic value.
Null hypothesis: H0: m= 30
Alternative hypothesis: HA:m> 30
Report p-value from the normality test and conclusion:
The p-value is 0.2117, since it is greater than 0.05 we can accept the normality assumption.
data: Part_2_Assignment_1$Average
W = 0.87659, p-value = 0.2117
Report the value of the t-test statistic = 0.32951
Report p-value from the t-test and the conclusion:
The p-value is 0.3765, since it is greater than 0.05 we can accept the normality assumption.
data: Part_2_Assignment_1$Average
t = 0.32951, df = 6, p-value = 0.3765
alternative hypothesis: true mean is greater than 30
percent confidence interval:
23.7037
Find the 95% confidence interval for estimating the reduction in LDL for the sample population from the treatment.
95 percent confidence interval:
23.7037
I did most of the assignment but I wanted to double check and make sure whether or not I used the right formulas in R.
Subject ID
1
2
3
4
5
6
7
LDL at the beginning
156
143
153
153
164
161
158
LDL at the end
136
113
101
122
129
135
133
Explanation / Answer
Test statistics and p-values are correct
for calculating confidence interval , you can use
t.test(x,y, paired=TRUE)
where x and y are data ,
x= LDL at the beginning
y=LDL at the beginning
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