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Sampling Distribution Quiz 2 (25 MCQs)

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1. A recent survey finds that 35% of US households have at least one dog. You randomly choose 50 households to ask if they have a dog. Could you use the Normal Approximation for this?
2. It is a process of selecting the kth element in the population until the desired number of subjects or respondents is attained.
3. Increasing the sample size of sample will reduce the
4. It is a process of selecting clusters from a population which is very large or widely spread out over a wide geographical area.
5. According to de Moivre's Equation, in order to get an estimate that is three times more accurate than your old one, you need to collect _____ times as much data
6. The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting 64 data values with a mean between 195 and 200?
7. The average cost for a gallon of gasoline is $ 2.51 (source AAA.org) with a standard deviation of $ 0.42. These prices are strongly right-skewed. What is the shape of the sampling distribution if n = 49?
8. According to a television commercial, 3 out of 4 dentists recommend Trident gum for patients who have dental work. A consumer magazine has surveyed 100 dentists to see if this claim is true. Which is closest to the probability that between 70 and 74 percent of the dentists recommend Trident?
9. In a given population, the mean is 200 and the standard deviation is 20. If we take a sample of size 25, what is the mean of the sampling distribution?
10. You need to use the Finite Correction Factor when the sample size is more than _____ of the population size, and you are selecting without replacement.
11. What effect does INCREASING the sample size have on a sampling distribution?
12. It is a probability distribution wherein the sample means obtained will form a frequency distribution and the corresponding probability distribution can be constructed.
13. The mean distance an ASA student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. Dugger finds the mean of her 4th period class-a randomly selected sample of 29 students. What is the probability that the mean of her class is more than 6 miles?
14. Which sample size for a sampling distribution will have the smallest standard deviation?
15. 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. What is the mean of the sampling distribution of p-hat?
16. If the population is countable, we call it _____
17. The weight distribution of Unicorns is approximately normal with a mean of 1, 000 lbs. and a standard deviation of 25 lbs. What is the probability that the mean weight of 25 randomly selected unicorns is greater than 1010 pounds?
18. A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed. What is the probability that a randomly selected student is older than 16.5 years old?
19. Which of the following is the list of the sample means, if samples are as follow:5, 105, 155, 2010, 1510, 2015, 20
20. Identify the Sample:
21. Which measure CANNOT have sampling distribution?
22. The weights of the eggs produced by a certain breed of hen are normally distributed with mean 65 grams and standard deviation of 5 grams. What is the probability that one egg selected at random from a hen house will weigh more than 68 grams?
23. 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.Your best friend just got back from New York and says she had a taxi fare of $ 25.00. What is the z-score that would correspond to his/her taxi fare?
24. 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.The sample of 25 tourists reported an average taxi fare of $ 23.20. What is the z-score that corresponds to this amount?
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.
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