WorksheetsEstimating Parameters and Determining Sample Sizes Quiz 7-3
Total questions: 15
Worksheet time: 16mins
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
A university president estimated that the proportion of students who plan to take a summer school course with a 95% confidence interval. If the interval is (0.258, 0.342) , which of the following is the closest to the sample size that the administrator used?
30
120
460
545
There is not enough information to determine the sample size.
Identify the mean and standard deviation for this normal distribution.
The mean is 100 and the standard deviation is 15.
The mean is 100 and the standard deviation is 30.
The mean is 15 and the standard deviation is 100.
The mean is 30 and the standard deviation is 100.
How do you calculate degrees of freedom?
n
n+1
1-n
n-1
A T-test sample has 7 pairs of samples. The distribution should contain ____________
16 degrees of freedom
15 degrees of freedom
5 degrees of freedom
6 degrees of freedom
