Confidence Interval with Means Review

Quiz
•
Mathematics
•
12th Grade
•
Easy
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean for a distribution to be skewed?
A skewed distribution is one where the data points are symmetrically distributed around the mean.
A skewed distribution is one where the data points are evenly spread across the range.
A skewed distribution is one where the data points are not symmetrically distributed around the mean, leading to a longer tail on one side of the distribution.
A skewed distribution is one where the data points cluster around the median.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the role of the z-score in confidence intervals?
It indicates the sample size required for the study.
It represents the number of standard deviations a data point is from the mean and is used to determine the width of the confidence interval based on the desired confidence level.
It is used to calculate the mean of the data set.
It determines the significance level of the hypothesis test.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the impact of a skewed population on the sampling distribution of the sample mean?
A skewed population may require a larger sample size for the sampling distribution of the sample mean to approximate normality.
A skewed population has no effect on the sampling distribution of the sample mean.
A skewed population will always result in a normal sampling distribution regardless of sample size.
A skewed population will lead to a smaller standard error of the mean.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean if a value is not included in a confidence interval?
It indicates that the value is a plausible estimate of the population parameter.
It suggests that this value is not a plausible estimate of the population parameter based on the sample data.
It means that the sample size is too small to make any conclusions.
It implies that the confidence interval was calculated incorrectly.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the formula for calculating a confidence interval for a mean?
CI = x̄ ± z*(σ/√n)
CI = x̄ ± t*(σ/√n)
CI = x̄ ± z*(n/σ)
CI = x̄ ± (σ/n)
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you interpret a confidence interval of (1.80, 3.85) hours?
This interval suggests that we are confident that the true mean time managers spend on paperwork lies between 1.80 and 3.85 hours.
The interval indicates that 1.80 hours is the maximum time spent on paperwork.
The confidence interval shows that the average time spent on paperwork is exactly 2.83 hours.
This interval means that there is a 95% chance that the time spent on paperwork is between 1.80 and 3.85 hours.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the relationship between confidence level and width of the confidence interval?
As the confidence level increases, the width of the confidence interval decreases, meaning we are more certain and more precise.
As the confidence level increases, the width of the confidence interval remains the same, indicating a constant level of certainty and precision.
As the confidence level increases, the width of the confidence interval also increases, meaning we are more certain but less precise.
As the confidence level decreases, the width of the confidence interval increases, indicating less certainty and more precision.
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