#1
What is the mean of the following data set: 2, 4, 6, 8, 10?
#2
What is the median of the following data set: 4, 7, 2, 9, 5?
#3
What does 'p-value' represent in hypothesis testing?
Probability of rejecting a true null hypothesis
Probability of accepting a false null hypothesis
Probability of accepting a true null hypothesis
Probability of not rejecting a true null hypothesis
#4
What is the formula to calculate standard deviation?
√(Σ(x - μ)² / n)
Σ(x - μ) / n
Σ(x - μ)² / n
√(Σ(x - μ) / n)
#5
What does a confidence interval represent in statistics?
The range of values within which the population parameter is likely to fall
The range of values within which the sample mean is expected to fall
The range of values within which the sample variance is expected to fall
The range of values within which the standard error is likely to fall
#6
What is the purpose of a z-test in statistics?
To test the difference between two population proportions
To test the difference between two population means
To test the difference between two population variances
To test the difference between two population medians
#7
What is skewness in statistics?
A measure of the degree of symmetry in a distribution
A measure of the spread of data around the mean
A measure of the lack of proportionality in data
A measure of the presence of outliers in a dataset
#8
In a chi-squared test, if the calculated chi-squared value is greater than the critical chi-squared value, what does it indicate?
Null hypothesis is rejected
Null hypothesis is accepted
Data is invalid
Data needs more analysis
#9
What is the formula to calculate correlation coefficient (Pearson's r)?
Σ(xy) / ΣxΣy
Σ(x - μ)² / n
Σ(x - μ)(y - ν) / √(Σ(x - μ)²Σ(y - ν)²)
Σ(x - μ)(y - ν) / (Σ(x - μ)²Σ(y - ν)²)
#10
What is the purpose of a one-way ANOVA test?
To compare means of more than two independent groups
To compare means of more than two related groups
To compare variances of more than two independent groups
To compare variances of more than two related groups
#11
What is the null hypothesis in a t-test for independent samples?
There is no difference between the means of the two groups
There is a significant difference between the means of the two groups
There is no correlation between the variables
There is a positive correlation between the variables
#12
What is the purpose of a Mann-Whitney U test?
To compare means of more than two independent groups
To compare means of more than two related groups
To compare medians of more than two independent groups
To compare medians of more than two related groups
#13
What is the F-statistic used for in ANOVA?
To test for differences between group means
To test for differences between group variances
To test for differences between group medians
To test for differences between group standard deviations