In a simple linear regression model, testing whether the slope 1 of the population regression line could be zero is the same as testing whether or not the population coefficient of correlation equals zero.
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Q. 2If the population distribution is unknown, in most cases the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 30 observations.
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Q. 3A sampling distribution is defined as the probability distribution of means from all possible sample sizes that are taken from a given population.
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Q. 4A sampling distribution is a probability distribution for a statistic, not a parameter.
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Q. 5If the population distribution is skewed, in most cases the sampling distribution of the sample mean can be approximated by the normal distribution if the samples contain at least 30 observations.
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Q. 6The amount of bleach a machine pours into bottles has a mean of 50 ounces with a standard deviation of 0.25 ounces. We take a random sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a mean of 50 ounces.
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