What is the primary goal of factor rotation in factor analysis?
To improve the interpretability of factors
To calculate the eigenvalues of factors
To reduce the number of factors
To increase the communalities of variables
As the sample size increases, the standard error of the mean:
Decreases
Increases
Stays the same
Cannot be determined
A normal distribution has a mean of 50 and a standard deviation of 10. What is the probability that a randomly selected value from this distribution is between 40 and 60?
0.6827
0.9973
0.9545
0.3413
You want to compare the average heights of men and women in a population. Which hypothesis test would be most appropriate?
One-sample t-test
Paired t-test
Chi-square test
Independent samples t-test
What is a Type II error in hypothesis testing?
Failing to reject the null hypothesis when it is false.
Using the wrong test statistic for the data.
Incorrectly calculating the p-value.
Rejecting the null hypothesis when it is true.
The number of cars passing a certain point on a highway averages 10 per hour. What is the probability that exactly 15 cars pass that point in a given hour?
0.0347
0.5
0.25
0.15
An event has three possible outcomes: A, B, and C. You know P(A) = 0.2 and P(B) = 0.3. What is the value of P(C) according to the law of total probability?
0.3
0.7
What is the range of possible values for the coefficient of determination (R²)?
Depends on the data
0 to 1
-∞ to +∞
-1 to 1
A coin is flipped 5 times. What is the probability of getting exactly 3 heads?
0.6875
0.3125
Which component of a time series reflects long-term changes in the data over time?
Trend
Cyclical Variation
Seasonality
Irregularity