Exam 7: Introduction to Sampling Distributions

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The impact on sampling of increasing the sample size is:

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A pharmaceutical company claims that only 5 percent of patients experience nausea when they take a particular drug.In a research study,n = 100 patients were given this drug and 8 experienced nausea.Assuming that the company's claim is true,what is the probability of 8 or more patients experiencing nausea?

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One of the nation's biggest regional airlines has tracked 4,000 landings and take-offs during the past month.Treating these data as the population of interest,the company found that the average time the planes spent on the ground (called the turn time)was 17.23 minutes with a standard deviation of 3.79 minutes.Further,they determined that the distribution of turn times is normally distributed.If a sample of size n = 16 turn times was selected at random from the population,the chances of the mean of this sample exceeding 20 minutes is 0.2327.

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The population of incomes in a particular community is thought to be highly right-skewed with a mean equal to $36,789 and a standard deviation equal to $2,490.Based on this,if a sample of size n = 36 is selected,the sampling distribution would have a mean equal to the population mean,but the standard deviation of the sampling distribution will be one-sixth of the population standard deviation.

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A local bank has 1,400 checking account customers.Of these,1,020 also have savings accounts.A sample of 400 checking account customers was selected from the bank of which 302 also had savings accounts.The sampling error in this situation is .0264.

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A larger sample size reduces the potential for large sampling error.

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The Dilmart Company has 8,000 parts in inventory.The mean dollar value of these parts is $10.79 with a standard deviation equal to $3.34.Suppose the inventory manager selected a random sample of n = 64 parts from the inventory and found a sample mean equal to $11.27.The probability of getting a sample mean at least as large as $11.27 is approximately 0.444.

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When sampling from a population,the sample mean will:

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An increase in sample size will tend to result in less sampling error.

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If a population is normally distributed,then the sampling distribution for the sample mean will always be normally distributed regardless of the sample size.

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The population of incomes in a particular community is thought to be highly right-skewed with a mean equal to $36,789 and a standard deviation equal to $2,490.Based on this,if a sample of size n = 36 is selected,the highest sample mean that we would expect to see would be approximately $38,034.

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It is very unlikely that a nonstatistical sample will ever provide less sampling error than a statistical sample of the same size.

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Suppose it is known that the mean purchase price for all homes sold last year in Blacksburg,Virginia was $203,455.Recently,two studies were done on home sales prices.In the first study,a random sample of 200 homes was selected from the population.In the second study,a random sample of 60 homes was selected.Based on this information,we know that the second study would contain more sampling errors than the first study due to the smaller sample size.

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If a population mean is equal to 200,the sample mean for a random sample selected from the population is about as likely to be higher or lower than 200.

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How would you respond to a statement that says that by increasing the sample size,the amount of sampling error will be decreased?

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The Olsen Agricultural Company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pounds and a standard deviation equal to 8 pounds.Based on this,what is the mean of the sampling distribution for The Olsen Agricultural Company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pounds and a standard deviation equal to 8 pounds.Based on this,what is the mean of the sampling distribution for   if the sample size is n = 64? if the sample size is n = 64?

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The following values represent the population of home mortgage interest rates (in percents)being charged by the banks in a particular city: The following values represent the population of home mortgage interest rates (in percents)being charged by the banks in a particular city:   Given this information,what is the most extreme amount of sampling error possible if a random sample of n = 4 banks is surveyed and the mean loan rate is calculated? Given this information,what is the most extreme amount of sampling error possible if a random sample of n = 4 banks is surveyed and the mean loan rate is calculated?

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The reason that a population mean and the mean of a random sample selected from that population might be different is that the sample mean is found by dividing by n-1 while the population mean is found by dividing by n.

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Regardless of population distribution,the sampling distribution for a random variable X will be approximately normally distributed.

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A sample of 25 observations is taken to estimate a population proportion π.The sampling distribution of sample proportion p is

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