Estimating Parameters and Determining Sample Sizes Quiz 7-3

In a normally distributed population, what is the formula for the chi-square statistic?

• χ² = (n - 1)s²/σ²

• χ² = (n + 1)s²/σ²

• χ² = (n - 1)s/σ

• χ² = (n - 1)s²/σ

What type of distribution is the chi-square distribution derived from?

• Uniform distribution

• Binomial distribution

• Normal distribution

• Exponential distribution

What must be determined first to find critical values using technology or Table A-4?

• Sample size

• Degrees of freedom

• Mean

• Median

In the context of chi-square distribution, what does 'n' represent in the formula for degrees of freedom?

• Number of samples

• Sample size

• Number of variables

• Sample mean

How does the chi-square distribution differ from the normal distribution?

• It is symmetric

• It is skewed to the left

• It is skewed to the right

• It is uniform

In the chi-square distribution, what does an increase in degrees of freedom indicate?

• A decrease in variance

• A more skewed distribution

• A closer approximation to normality

• A constant distribution shape

What is the symbol used for the population standard deviation in the example?

• μ

• σ

• χ²

• n

What is the critical value of Chi-Square given in the example?

• 10.283

• 21.000

• 35.479

• 0.025

What is the critical value of χ²L given in the example?

• 10.283

• 12.345

• 9.876

• 11.234

• 30

• 120

• 460

• 545

• There is not enough information to determine the sample size.