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MAT 150 - STATS - Midterm Exam 2022/2023

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MAT 150 - STATS - Midterm Exam 2022/2023 T/F: The trimmed mean is a measure of variation of a dataset - ANS- False T/F: To compute the z-score for a normally distributed data set, you would need th ... e observation, the mean, and the interquartile range - ANS- False T/F: The Empirical Rule gives the approximate percentage of observations about the mean of a data set for uniformly distributed data - ANS- False T/F: The variance is the square of the standard deviation - ANS- True The x = the amount of energy generated by a solar panel in a year (in kWh). If you were to compute the variance of a random sample of solar panels, what would the units be? - ANS- s^2 = kWh^2 The standard normal (z) distribution has a mean of ______ and a standard deviation of _______ - ANS- 0....1 For a data set that is left skewed, which has a better measure of center - the mean or the median? - ANS- median Let z denote a variable that has standard normal distribution. Determine the following: P (1.95 < z < 2.75) = - ANS- 0.0226 Let z denote a variable that has a standard normal distribution. Determine the following: P (z > -1.95 or z > 2.72) = - ANS- 0.0289 Let z denote a variable that has a standard normal distribution. Find z* such that: P (z < z*) = 0.95 - ANS- 1.65 The World Health Organization reports that the distribution of ages at time of death in the United States has a mean of 79.8 years and a standard deviation of 15.5 years, based on death certificates. The distribution of ages at the time of death if leftskewed, as few people die young and most die old. Researchers plan to take a random sample of 80 American death certificates. What is the probability that the mean age at the time of death in a random sample of 80 American death certificates will be less than 78 years? Include notation and draw and label the appropriate distribution curve. CONTINUES... [Show More]

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