A researcher takes 10 samples of 20 students each to get a sampling distribution of the average number of siblings students at a university have. According to the Central Limit Theorem, what can the researcher do make their sampling distribution get closer to normal?
Table of contents
- 1. Introduction to Statistics53m
- 2. Describing Data with Tables and Graphs2h 1m
- 3. Describing Data Numerically1h 48m
- 4. Probability2h 26m
- 5. Binomial Distribution & Discrete Random Variables2h 55m
- 6. Normal Distribution & Continuous Random Variables1h 48m
- 7. Sampling Distributions & Confidence Intervals: Mean2h 8m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 20m
- 9. Hypothesis Testing for One Sample2h 23m
- 10. Hypothesis Testing for Two Samples3h 25m
- 11. Correlation1h 6m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 30m
- 14. ANOVA1h 4m
7. Sampling Distributions & Confidence Intervals: Mean
Sampling Distribution of the Sample Mean and Central Limit Theorem
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For a new advertising campaign, a video game retailer is interested in including information on the average play time of their most popular game. They get 100 random samples of 40 players and obtain their play time to get a sampling distribution. The mean of the sampling distribution is 26.7 hours. In this example, what is the value of ?
A
100
B
40
C
27
D
Unknown

1
Understand the problem: The question is asking for the value of 'n', which represents the sample size in the context of the sampling distribution. The problem states that 100 random samples of 40 players were taken, and the sampling distribution was created based on their play times.
Identify the relevant information: From the problem, we know that the retailer took 100 random samples, and each sample consisted of 40 players. The value of 'n' refers to the number of players in each sample.
Recall the definition of 'n': In statistics, 'n' typically represents the sample size, which is the number of observations or data points in a single sample.
Match the information to the definition: Since each of the 100 samples contains 40 players, the value of 'n' is the number of players in each sample, which is 40.
Conclude the solution: Based on the information provided, the value of 'n' is 40, as it represents the sample size for each of the 100 samples.
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