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• Problem: I wish to estimate the average number of parcels received at my society main gate in a day. We wish to estimate it in order to decide whether there is a need for an extra person to handle the distributions of parcels. • Design an experiment: For 15 days I will collect the data and note number of parcels received daily. This will act as a random sample. I will calculate the sample mean, get the confidence interval and also run a hypothesis testing to check Null Hypothesis (Ho): µ = 30 against Alternate Hypothesis (HA):µ > 30 • Pick a sample: 15, 41, 23, 32, 18, 35, 28, 12, 24, 6, 32, 12, 29, 39, 26 • Find confidence interval, find p-values for hypothesis testing, and rl : give my answer with 99% confidence.

• Problem: I wish to estimate the average number of parcels received at my society main gate in a day. We wish to estimate it in order to decide whether there is a need for an extra person to handle the distributions of parcels. • Design an experiment: For 15 days I will collect the data and note number of parcels received daily. This will act as a random sample. I will calculate the sample mean, get the confidence interval and also run a hypothesis testing to check Null Hypothesis (Ho): µ = 30 against Alternate Hypothesis (HA):µ > 30 • Pick a sample: 15, 41, 23, 32, 18, 35, 28, 12, 24, 6, 32, 12, 29, 39, 26 • Find confidence interval, find p-values for hypothesis testing, and rl : give my answer with 99% confidence.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Illustrate one simple real world experiment where you can use the concepts of either Central Limit Theorem or Confidence Interval or Hypothesis testing to get answer to a relevant question. For this purpose, you will have to: 1. Phrase a problem 2. Design an experiment 3. Pick a sample 4. Use the sample along with at least one concept of either CLT or confidence interval or hypothesis testing to answer your query. Example 1: • Problem: I wish to estimate the average number of parcels received at my society main gate in a day. We wish to estimate it in order to decide whether there is a need for an extra person to handle the distributions of parcels. • Design an experiment: For 15 days I will collect the data and note number of parcels received daily. This will act as a random sample. I will calculate the sample mean, get the confidence interval and also run a hypothesis testing to check Null Hypothesis (Ho): µ = 30 against Alternate Hypothesis (HA): µ > 30 • Pick a sample: 15, 41, 23, 32, 18, 35, 28, 12, 24, 6, 32, 12, 29, 39, 26 • Find confidence interval, find p-values for hypothesis testing, and give my answer with 99% confidence.
Transcribed Image Text:Illustrate one simple real world experiment where you can use the concepts of either Central Limit Theorem or Confidence Interval or Hypothesis testing to get answer to a relevant question. For this purpose, you will have to: 1. Phrase a problem 2. Design an experiment 3. Pick a sample 4. Use the sample along with at least one concept of either CLT or confidence interval or hypothesis testing to answer your query. Example 1: • Problem: I wish to estimate the average number of parcels received at my society main gate in a day. We wish to estimate it in order to decide whether there is a need for an extra person to handle the distributions of parcels. • Design an experiment: For 15 days I will collect the data and note number of parcels received daily. This will act as a random sample. I will calculate the sample mean, get the confidence interval and also run a hypothesis testing to check Null Hypothesis (Ho): µ = 30 against Alternate Hypothesis (HA): µ > 30 • Pick a sample: 15, 41, 23, 32, 18, 35, 28, 12, 24, 6, 32, 12, 29, 39, 26 • Find confidence interval, find p-values for hypothesis testing, and give my answer with 99% confidence.
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