Statistics and Probability - Estimations and Confidence Interval

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31 questions
• Q1
What is a confidence interval?
A range of values that is likely to contain the true population parameter with a certain level of confidence
The standard deviation of the population
The exact value of the population parameter
A range of values that is unlikely to contain the true population parameter with a certain level of confidence
30s
• Q2
What is a point estimate?
The exact value of the population parameter
A range of values that is likely to contain the true population parameter with a certain level of confidence
The standard deviation of the population
A single value that is used to estimate the population parameter
30s
• Q3
What is the formula to calculate a confidence interval for the population mean?
sample mean ± (t-score x standard error)
sample mean ± (z-score x standard deviation)
sample mean ± (z-score x standard error)
sample mean ± (t-score x standard deviation)
30s
• Q4
What is the formula to calculate the standard error?
standard deviation x sqrt(sample size)
sqrt(standard deviation / sample size)
sample size / sqrt(standard deviation)
standard deviation / sqrt(sample size)
30s
• Q5
What is the level of confidence typically used for confidence intervals?
99%
95%
90%
100%
30s
• Q6
What is the purpose of a confidence interval?
To reduce the standard deviation of the population
To quantify the uncertainty in the point estimate and provide a range of plausible values for the population parameter
To provide an exact value for the population parameter
To increase the sample size
30s
• Q7
What happens to the width of a confidence interval if the sample size increases?
It decreases
It increases
It stays the same
It depends on the level of confidence
30s
• Q8
What is the critical value for a 90% confidence interval?
2.326
1.960
1.282
1.645
30s
• Q9
What is the critical value for a 99% confidence interval?
2.576
1.960
2.326
1.645
30s
• Q10
Which of the following is not a factor that affects the width of a confidence interval?
The level of confidence.
The sample size.
The margin of error.
The standard deviation of the population.
30s
• Q11
What is the margin of error?
The amount by which the confidence interval overestimates the population parameter.
The amount by which the point estimate overestimates the population parameter.
The amount added and subtracted to the point estimate to form a confidence interval.
The amount by which the point estimate underestimates the population parameter.
30s
• Q12
What is the level of confidence?
The probability that the population parameter is exactly equal to the point estimate.
The probability that the sample mean is equal to the population mean.
The probability that the population parameter falls outside the confidence interval.
The probability that the population parameter falls within the confidence interval.
30s
• Q13
What is the formula for the margin of error?
Margin of error = Z* (Standard deviation/Square root of sample size).
Margin of error = Z* (Standard deviation * Square root of sample size).
Margin of error = Z/ (Standard deviation/Square root of sample size).
Margin of error = Z/ (Standard deviation * Square root of sample size).
30s
• Q14
What is the formula for the confidence interval?
Point estimate - Margin of error.
Point estimate * Margin of error.
Point estimate ± Margin of error.
Point estimate / Margin of error.
30s
• Q15
What is the minimum sample size required for a 95% confidence interval with a margin of error of 0.05, and a standard deviation of 2?
245.
385.
495.
125.
30s

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