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Terms in this set (17)
The Department of Motor Vehicles reports that 32% of all vehicles registered in a state are made by a Japanese or a European automaker. The number 32% is best described as:
a parameter.
At a certain driver's license testing station,only 40% of all new drivers pass the behind‑the‑wheel test the first time they take it. A sample of 50 new drivers from a certain high school found that 36% of them had passed the test the first time. Which of these numbers is a statistic?
36%
At a certain driver's license testing station, only 40% of all new drivers pass the behind‑the‑wheel test the first time they take it. A sample of 50 new drivers from a certain high school found that 36% of them had passed the test the first time. Which of these numbers is a parameter?
40%
We will consider a vote for Al Gore a "success." We can look back and select a random sample of 50 voters from the 2000 election, and count the number of those who voted for Gore. Suppose, in that sample, that 23 of the 50 (46%) voted for Gore. Which of the following is correct?
The numbers 23 and 0.46 are statistics, and the number 0.484 is a parameter.
A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to be destroyed. He finds the number of flaws in each square yard and is interested in the average number of flaws per 10 square yards of material. If we assume the standard deviation of the number of flaws per square yard is 0.6, the sample mean, 𝑥¯x¯ , for the 10 square yards will have what standard deviation? Round the answer to the nearest hundredth.
0.19
The number of years of education of self‑employed individuals in the United States has a population mean of 13.6 years and a population standard deviation of 3 years. If we survey a random sample of 100 self‑employed people to determine the average number of years of education for the sample, what is the mean of the sampling distribution of
13.6
The number of years of education of self‑employed individuals in the United States has a population mean of 13.6 years and a population standard deviation of 3 years. If we survey a random sample of 100 self‑employed people to determine the average number of years of education for the sample, what is the standard deviation of the sampling distribution of 𝑥¯x¯ , the sample mean
0.3 years
A surplus store gives a scratch‑off ticket to 2000 customers as they leave with their groceries. Can we expect these customers' average winnings to be close to the average winnings for the entire population of the scratch‑off ticket holders?
yes
The law of large numbers tells us that as sample size 𝑛n increases:
the sample mean approaches the population mean.
In a certain country, the average age is 31 years old and the standard deviation is 4 years. If we select a simple random sample of 100 people from this country, what is the probability that the average age of our sample is at least 32?
0.006
For which of the following situations would the central limit theorem not imply that the sample distribution for 𝑥¯x¯ is approximately Normal?
population is not Normal, and we use samples of size 𝑛=6n=6
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 44 mg/mi. A company has 2525 cars of this model in its fleet.
Using Table A, find the level 𝐿L such that the probability that the average NOX + NMOG level 𝑥¯x¯ for the fleet greater than 𝐿L is only 0.010.01 ?
(Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
Using Table A, find the level 𝐿L such that the probability that the average NOX + NMOG level 𝑥¯x¯ for the fleet greater than 𝐿L is only 0.010.01 ?
(Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
81.864
1. There are nine justices currently serving in the United States Supreme Court, and 44% of them were appointed after the year 2000. The 44% here is a
2. In 1936, Literary Digest polled 2.3 million adults in the United States, and 57% of them said they would vote for Alf Landon for the Presidency. The 57% here is a
3. A survey of hospital records in 120 hospitals throughout the world shows the mean height of 180 cm for adult males. The mean height of 180 cm is a
4. The 59 players on the roster of a championship football team have a mean weight of 248.6 pounds with a standard deviation of 44.6 pounds. The 44.6 pounds is a
5. In a random sample of households in the United States, it is found that 51% of the sampled households have at least one high‑definition television. The 51% here is a1
2. In 1936, Literary Digest polled 2.3 million adults in the United States, and 57% of them said they would vote for Alf Landon for the Presidency. The 57% here is a
3. A survey of hospital records in 120 hospitals throughout the world shows the mean height of 180 cm for adult males. The mean height of 180 cm is a
4. The 59 players on the roster of a championship football team have a mean weight of 248.6 pounds with a standard deviation of 44.6 pounds. The 44.6 pounds is a
5. In a random sample of households in the United States, it is found that 51% of the sampled households have at least one high‑definition television. The 51% here is a1
1. parameter
2. statistic
3. statistic
4. parameter
5. statistic
2. statistic
3. statistic
4. parameter
5. statistic
The sampling distribution of a statistic of size 𝑛n is
the distribution of all values of the statistic resulting from all samples of size 𝑛n taken from the same population.
A surplus store gives a scratch‑off ticket to 2000 customers as they leave with their groceries. Can we expect these customers' average winnings to be close to the average winnings for the entire population of the scratch‑off ticket holders?
yes