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Sampling Distribution Quiz 3 (25 MCQs)

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1. The sampling distribution of a statistic is _____
2. It is the numerical characteristic of a sample.
3. A sample of the reading scores of 35 fifth-graders has a mean of 82. The standard deviation of the population is 15.Find the 90% confidence interval of the mean reading scores of all fifth-graders.
4. If a sampling distribution of sample means has a sample size less than 30:
5. Find the area under the standard normal curve to the right of z = 3.15.
6. It is estimated that 45% of the 10th grade class will go on the class trip this year. If you randomly choose 10 sophomores and ask them if they are going on the trip, could you use the Normal Approximation to predict these results?
7. The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. Of the poll respondents, 44% said they did attend church last week. Find the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week if the newspaper's claim is true.
8. The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. What is the mean of the sampling distribution?
9. The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting one data value less than 190?
10. What is the standard error of the sampling distribution?Given:Population size is 5Sample size is 3Without replacementPopulation variance is 20.5209
11. Which of the following is the best example of statistic?
12. In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowel, 56 consonants, and 2 blank tiles in the bag. Cait chooses an SRS of 7 tiles. Let p-hat be the proportion of vowels in her sample. Is the 10% condition met in this case?
13. A sample is taken of 200 people. The number of people who own a dog was 80.What is the sample proportion?
14. Review:\{33, 25, 42, 25, 31, 37, 46, 29, 38\}What is the interquartile range of the data in the set above?
15. A classroom has 30 students. The mean height of students in this classroom is 63 in. with a standard deviation of 4.6 in. Assume these heights approximate a normal distribution.If ten students are selected at random from this classroom, what is the probability that the mean height of the selected students will be less than 62 in.?
16. For which scenario is it not permissible to use the normal distribution to approximate the sampling distribution?
17. Another name for the standard deviation of a sampling distribution is the _____
18. Of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What does 50 represent?
19. Taxi fares in New York City are normally distributed with a mean fare of $ 22.50 and a standard deviation of $ 2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate.Recently a sample of 25 tourists reported an average taxi fare of $ 23.20. What is the probability that a sample of 25 would have an average taxi fare greater than $ 23.20?
20. According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated.Find the z-score associated with a sample of 180 children in which 162 have been vaccinated.
21. A statistic is an unbiased estimator of a parameter when
22. The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. What is N?
23. A distribution showing the sample means of all sample of size n of a population is called
24. What is the variance of the sampling distribution? Given:Population size of 4Sample size is 2Without replacementPopulation variance of 7.75
25. The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. Calculate the standard deviation of the sampling distribution. (Check to see if the 10% condition is met first)
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