Explanation

She is going to quit her job unless they give her a pay rise.

وہ اپنی نوکری چھوڑ دے گی جب تک کہ وہ اسے تنخواہ میں اضافہ نہ کریں۔

"We use 'unless' to express a condition.

It means if the company doesn't give her a pay raise, she'll quit."

Explanation

Using SPSS (Statistical Package for the Social Sciences) or other statistical software offers several advantages over calculating statistics by hand:

• Reduces errors: SPSS minimizes the chance of making errors in calculations, as it performs computations accurately and efficiently.
• Time-saving: SPSS can process large datasets and perform complex analyses much faster than manual calculations.
• Recognized software: Many researchers and organizations use SPSS, making it a widely recognized and accepted software package in the field of statistics and research.
• Transferable skill: Knowing how to use SPSS equips you with a valuable and transferable skill, beneficial for future research, academic, or professional endeavors.

Explanation

Probability refers to the likelihood of a single event or outcome occurring, not a collection of experiments.

Explanation

The probability that a randomly selected family from the 400 families owns the house, given that 300 of them own houses, is: 0.75.

Explanation

• If heteroscedasticity is present in a regression model but ignored, the Ordinary Least Squares (OLS) estimator will still be unbiased, but it will not be efficient.
• This means that the estimator will not have the smallest possible variance, and the estimates may not be precise.

Explanation

• A boom is a period of maximum production, high demand, and rapid economic growth.
• It's a time of high economic activity and prosperity.

Explanation

• The sum of deviations from the regression line is zero.
• This is a fundamental property of linear regression, known as the "zero-sum property" or "error-sum property".

Explanation

• When 3 coins are tossed, there are 2^3 = 8 possible outcomes.
• Only one of these outcomes is TTT (3 tails), so the probability is 1/8.

Explanation

The variance of a sample is calculated as the square of the standard deviation. Since the standard deviation is 64, the variance is:

Variance = σ^2 = 64^2 = 4096

So, the correct answer is 4096.

Explanation

• A Type-1 error, also known as an alpha error.
• It occurs when a statistical test rejects a null hypothesis that is actually true.
• This is a "false positive" result, where a significant effect is detected when none exists.