The club will be preparing his male team players for the next basketball competition and the club randomly selects 30 of his male players and check their weights. The following table shows summary statistics for those players weights. Variable n Mean Standard deviation, s Weight 30 102 14 Calculate a 95% confidence interval (C.I.) for the population mean weight of all basketball male players in the club. What assumption would you need to make for the CI to be valid. Choose one from below. - Since nπnπ and n(1−π)n(1−π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution - The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population - Since the population is normal, therefore sample means follow a normal distribution - The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied. The shape of the histogram indicates that the residuals come from a normal distribution - The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread - None of these Q2) What is the critical value for the 95% confidence interval

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The club will be preparing his male team players for the next basketball competition and the club randomly selects 30 of his male players and check their weights. The following table shows summary statistics for those players weights.

Variable	n	Mean	Standard deviation, s
Weight	30	102	14

Calculate a 95% confidence interval (C.I.) for the population mean weight of all basketball male players in the club.

What assumption would you need to make for the CI to be valid. Choose one from below.

- Since nπnπ and n(1−π)n(1−π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution

- The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population

- Since the population is normal, therefore sample means follow a normal distribution

- The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied. The shape of the histogram indicates that the residuals come from a normal distribution

- The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread

- None of these

Q2) What is the critical value for the 95% confidence interval

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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