H. You want to estimate the average weight of CMU male students. Since the popul
ID: 3222880 • Letter: H
Question
H. You want to estimate the average weight of CMU male students. Since the population is likely normal, you are planning to use a small sample. After a thorough random process, a random sample was collected with sample size 9, sample mean 170 lbs, and standard deviation 25 lbs. At a confidence level of 94%:
15) What is the margin of error of your estimation?
a. 16.7835
b. 17.1801
c. 16.4862
d. 16.2551
e. 16.0704
16) What is the t-value in your estimation?
a. 2.3133
b. 2.2409
c. 2.1504
d. 2.1892
e. 2.0961
Explanation / Answer
Q1.
Margin of Error = t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
Mean(x)=170
Standard deviation( sd )=25
Sample Size(n)=9
Margin of Error = t a/2 * 25/ Sqrt ( 9)
= 2.1892 * (8.3333)
= 18.2433
Q2.
t value is 2.1892
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