In order to use the formula sigma x = sigma/ calculate the standard deviation of

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In order to use the formula sigma x = sigma/ calculate the standard deviation of the sampling distribution of the sample mean, which of the following condition must be met? n ge 30 The population's distribution is approximately Normal. The sample size is less than 10% of the population size. I only II only III only III and either I or II All three conditions must be met. The central limit theorem refers to which of the following characteristic of the sampling distribution of the sample mean? Regardless of the shape of the population's distribution, the sampling distribution of the sample mean from sufficiently large samples will be approximately Normally distributed. Regardless of the shape of the population's distribution, the standard deviation of the sampling distribution of the sample mean from sufficiently large samples will be sigma/ . Regardless of the shape of the population's distribution, the mean of the sampling distribution of the sample mean from sufficiently large samples will be equal to the mean of the population. As you take larger and larger samples from a Normally distributed population, the standard deviation of the sampling distribution of the sample mean gels smaller and smaller. As you take larger and larger samples from a Normally distributed population, the mean of the sampling distribution of the sample mean gets closer and closer to the population mean. A simple random sample of 1000 Americans found that 62% were satisfied with the service provided by the dealer from which they bought their car. A simple random sample of 1000 Canadians found that 59% were satisfied with the service provided by the dealer from which they bought their car. The sampling variability associated with these statistics is exactly the same. not exactly the same. but very close. much smaller for the sample of Canadians because the population of Canada is much smaller than that of the United States, hence the sample is a larger proportion of the population. smaller for the sample of Canadians because the percent satisfied was smaller than that for the Americans. larger for the Canadians because Canadian citizens arc more widely dispersed throughout the country than arc citizens in the United States, hence they have more variable views.

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