6540 Chapter Notes - Chapter Week 9 Tutorial Examples: Sampling Distribution, Kurtosis, Unimodality

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23. 3 years it is widely suspected that young people today are waiting longer to get marrie. We want to find out if the mean age of first marriage has increased during the p (a) Conditions for inference (1) randomization: satisfied as a random sample n = 40 is selected (2) normality: we are not told whether the ages of first marriage follow a normal distribution. Because by the clt, n = 40 is more than large enough to see a sampling (3) independence: it is safe to assume that the ages of the men at first marriage are independen. As we have satisfied all the conditions for inference either directly or via strong safely proceed with inference knowing that our results are approximately corr (c ) As the clt applies, we have the following sampling distribution. Alternatively using the t distribution (as this distribution simulates the norma.

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