Exam 7: Sampling Distributions

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As the sample size increases, the effect of an extreme value on the sample mean becomes smaller.

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As the size of the sample is increased, the standard deviation of the sampling distribution of the sample mean for a normally distributed population will stay the same.

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The amount of bleach a machine pours into bottles has a mean of 36 oz.with a standard deviation of 0.15 oz.Suppose we take a random sample of 36 bottles filled by this machine. The probability that the mean of the sample is less than 36.03 is __________.

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For sample size 16, the sampling distribution of the mean will be approximately normally distributed

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The amount of tea leaves in a can from a production line is normally distributed with The amount of tea leaves in a can from a production line is normally distributed with   grams and   grams.A sample of 25 cans is to be selected.So, the middle 70% of all sample means will fall between what two values? grams and The amount of tea leaves in a can from a production line is normally distributed with   grams and   grams.A sample of 25 cans is to be selected.So, the middle 70% of all sample means will fall between what two values? grams.A sample of 25 cans is to be selected.So, the middle 70% of all sample means will fall between what two values?

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The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound.If a sample of 64 fish yields a mean of 3.4 pounds, what is probability of obtaining a sample mean this large or larger?

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Which of the following is (are)true regarding the finite population correction fpc)?

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SCENARIO 7-4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase.Random samples of size 50 are selected. -Referring to Scenario 7-4, the mean of all the sample proportions of customers who will make a purchase after visiting the web site is _______.

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Sampling distributions describe the distribution of

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The sample mean is an unbiased estimate of the population mean.

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If the population distribution is skewed, 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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For sample sizes greater than 30, the sampling distribution of the mean will be approximately normally distributed

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Which of the following statements gives the best reason for using the finite population correction in computing the standard error of a sample mean or proportion?

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SCENARIO 7-1 The time spent studying by students in the week before final exams follows a normal distribution with a standard deviation of 8 hours.A random sample of 4 students was taken to estimate the mean study time for the population of all students. -Referring to Scenario 7-1, what is the probability that the sample mean differs from the population mean by less than 2 hours?

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At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter.A random sample of 12 computer chips is taken.What is the standard error for the sample mean?

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If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons and it is assumed that the distribution of the amount of gasoline purchased per car is symmetric, there is approximately a 68.26% chance that a random sample of 16 cars will have a sample mean between 14 and 16 gallons.

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At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter.A random sample of 12 computer chips is taken.What is the probability that the sample mean will be below 0.95 centimeters?

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The Central Limit Theorem is considered powerful in statistics because it works for any population distribution provided the sample size is sufficiently large and the population mean, and standard deviation are known.

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The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound.If a sample of 25 fish yields a mean of 3.6 pounds, what is the Z-score for this observation?

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A manufacturer of power tools claims that the mean amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a random sample of 64 purchasers of this table saw is taken.The standard deviation of the sampling distribution of the sample mean is __________ minutes.

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