Exam 7: Sampling Distributions

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True or False: The sample proportion is an unbiased estimate of the population proportion.

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True or False: 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 a random sample of 64 cars is selected, there is approximately a 95.44% chance that the sample mean will be between 14 and 16 gallons.

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The standard error of the population proportion will become larger

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The distribution of the number of loaves of bread sold per week by a large bakery over the past 5 years has a mean of 7,750 and a standard deviation of 145 loaves.Suppose a random sample of n = 40 weeks has been selected.What is the approximate probability that the mean number of loaves sold in the sampled weeks exceeds 7,895 loaves?

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True or False: 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 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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Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in A certain year in the past.Suppose a sample of 100 major league players was taken.Find the Approximate probability that the mean salary of the 100 players exceeded $3.5 million.

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Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in A certain year in the past.Suppose a sample of 100 major league players was taken.Find the Approximate probability that the mean salary of the 100 players was less than $2.5 million.

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Which of the following is true about the sampling distribution of the sample mean?

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Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in A certain year in the past.Suppose a sample of 100 major league players was taken.Find the Approximate probability that the mean salary of the 100 players exceeded $4.0 million.

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Sales prices of baseball cards from the 1960s are known to possess a right skewed distribution With a mean sale price of $5.25 and a standard deviation of $2.80.Suppose a random sample of 100 cards from the 1960s is selected.Describe the sampling distribution for the sample mean sale Price of the selected cards.

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True or False: The sample mean is an unbiased estimator for the population mean.

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  . .

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True or False: 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 sampling distribution of the sample mean has a standard error of 0.15.

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True or False: An unbiased estimator will have a value, on average across samples, equal to the population parameter value.

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True or False: The amount of time it takes to complete an examination has a left skewed distribution with a mean of 65 minutes and a standard deviation of 8 minutes.If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 71 minutes is approximately 0.

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

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Which of the following is true regarding the sampling distribution of the mean for a large sample Size?

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True or False: A sample of size 25 provides a sample variance of 400.The standard error, in this case equal to 4, is best described as the estimate of the standard deviation of means calculated from samples of size 25.

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