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Estimation of Parameters - Confidence Interval
Presentation
•
Mathematics
•
11th Grade
•
Hard
Melvin Mallare
Used 4+ times
FREE Resource
12 Slides • 9 Questions
1
By Melvin Mallare
2
Multiple Choice
What do you call the process of approximating the value of the population parameter using a number/range of numbers calculated from a sample data?
Estimation of Parameters
Estimate
Point Estimate
Interval Estimate
3
Multiple Choice
What is the most commonly used interval estimate with an associated degree of confidence?
Confidence Interval
Credible Interval
Likelihood Interval
Fiducial Interval
4
5
Multiple Choice
The given table shows the result of the latest Pulse Asia survey on the first choice preference of 2400 respondents. What is the parameter being estimated in the result?
Population Mean
Population Proportion
Population Standard Deviation
Population Variance
6
Multiple Choice
If the confidence interval has 1.71% margin of error at 95% confidence level, what is the confidence interval for the population proportionof Filipino registered voters who prefer VP Leni Robredo?
18.87% < p < 29.13%
20.58% < p < 27.42%
22.29% < p < 25.71%
p = 24%
7
8
9
10
Multiple Choice
What is the appropriate form of the confidence interval?
11
12
Multiple Choice
What is the critical t-value ( t2α )?
2.539
2.576
2.861
2.845
13
Given:
n = 20
CL = 99%
d.f. = n - 1
= 20 - 1
d.f. = 19
14
Multiple Choice
What is the margin of error for 99% confidence interval for μ ?
0.2227 kg
0.2239 kg
0.2284 kg
0.2297 kg
15
Given:
s = 0.35
n = 20
16
Multiple Choice
What is the 99% confidence interval for μ ?
49.48 kg < μ < 49.92 kg
49.78 kg < μ < 50.22 kg
49.48 % < μ < 49.92 %
49.78 % < μ < 50.22 %
17
18
Multiple Choice
Based on the constructed 99% confidence interval, is there sufficient evidence of short weighting?
49.48 kg < μ < 49.92 kg
No, there is no sufficient evidence because the average weight (49.7 kg) of 20 random sacks of rice is within the confidence interval.
No, there is no sufficient evidence because the confidence interval is just slightly lower than the labeled weight (50 kg).
Yes, there is sufficient evidence because the labeled weight of the sacks of rice is not within the constructed confidence interval.
Yes, there is sufficient evidence because the average weight (49.7 kg) of 20 random sacks of rice is obviously lower than their labeled weight (50 kg).
19
20
21
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