Statistical Estimation Assignment Solutions

January 17, 2022

Bowen Gross

🇸🇬 Singapore

Statistics

Bowen Gross is the Best Statistics Assignment Tutor with 6 years of experience and has completed over 1800 assignments. He is from Singapore and holds a Master’s in Statistics from the National University of Singapore. Bowen provides expert tutoring in statistics, helping students excel in their assignments.

Hire Me to Do Your Statistics Homework

Key Topics

Likelihood Ratios and Statistical Tests
Likelihood Ratios
Statistical Estimation Using Tests

Submit Your Statistics Homework

Get a FREE Quote

Tip of the day

When tackling a statistics problem, always start by visualizing the data! A simple graph or chart can help reveal trends, outliers, and patterns that aren’t immediately obvious from raw numbers. Understanding your data visually can make the analysis much clearer!

News

The rise of AI and big data is reshaping the field of statistics. Recent trends highlight the growing need for expertise in statistical modeling, machine learning, and data visualization, with applications in healthcare, finance, and technology.

We have posted the following statistical estimation assignment solutions to educate and help you realize how proficient we are in answering statistics questions. Go through them and discover our level of competence as well as learn various concepts on estimating population parameters using samples.

Likelihood Ratios and Statistical Tests

In the first question, we make valid conclusions on the given likelihood ratio tests. The question that follows involves using a sample size to estimate parameters like the mean, standard deviation, and the standard error of the mean. What's more, we find the confidence interval of the mean and recommends a sample size suitable for finding the mean value under given conditions

Likelihood Ratios

Question

The following table shows the Likelihood ratio for test positive and likelihood ratio for test negative of 3 biomarkers to diagnose Disease A. Answer the following question.

Likelihood Ratio

Test	Test Positive	Test Negative
Biomarker 1	2.4	0.3
Biomarker 2	5.7	0.6
Biomarker 3	1.07	0.9

Which test/biomarker would be the best to rule in Disease A?
Answer:
Biomarker 2
Which test/biomarker would be the best to rule out Disease A?
Answer:
Biomarker 1
Which test/biomarker is the least useful test for both rulings in and ruling out disease A?
Answer:
Biomarker 3

Statistical Estimation Using Tests

Question:

You would like to estimate the birth weight and rate of low birth weight(<2.500kg) of Chinese male babies in Hong Kong. Worksheet A provides the birthweight of boys delivered in Hospital A in Hong Kong. Provide answers for the following. Give answers to 3 decimal places.

What is the sample size?
Answer:
The sample size is 200
What is the mean and its standard deviation?
Answer:
The mean is 3.077 and the standard deviation is 0.467
Standard Error of the mean
Answer:
The standard error of the mean is 0.033
Margin of error for the mean at the 95% confidence level
Answer:
Margin of error = 1.96 * 0.467/√200 = 1.96 * 0.033 = 0.065
95% confidence interval of the mean
Answer:
95% C.I for mean = (3.077 – 0.065, 3.077+0.065) = (3.012, 3.142)
What is the sample size required in a survey to assess the mean value with an error at half of the current error?
Answer:
The sample size is based on confidence level, the larger the required confidence level, the higher the sample size.