1342 - Final Review Questions - Test #3

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What is the standard normal probability distribution?

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The standard normal probability distribution is a normal distribution with a mean of 0 and a standard deviation of 1. It is used to find probabilities and z-scores.

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How do you find the probability of a z-score in a standard normal distribution?

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To find the probability of a z-score, you can use the standard normal distribution table (z-table) or a calculator that provides cumulative probabilities for the standard normal distribution.

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What does a z-score represent?

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A z-score represents the number of standard deviations a data point is from the mean of a distribution. It indicates how far and in what direction a data point deviates from the mean.

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What is the formula for calculating a z-score?

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What is the significance of the area under the curve in a normal distribution?

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The area under the curve in a normal distribution represents the total probability, which equals 1. Specific areas correspond to probabilities of certain outcomes.

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How do you interpret a probability of 0.938 in a standard normal distribution?

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A probability of 0.938 means that approximately 93.8% of the data falls below the corresponding z-score in the standard normal distribution.

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What is a confidence interval?

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A confidence interval is a range of values, derived from sample statistics, that is likely to contain the true population parameter with a specified level of confidence.

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How do you construct a confidence interval for a mean?

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What does a 90% confidence interval mean?

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A 90% confidence interval means that if you were to take many samples and construct a confidence interval from each, approximately 90% of those intervals would contain the true population mean.

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What is the relationship between the mean and standard deviation in a normal distribution?

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In a normal distribution, the mean indicates the center of the distribution, while the standard deviation measures the spread or dispersion of the data around the mean.