Statistics Questions and Answers

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Find statistics questions and answers with detailed explanations to help you understand problem-solving techniques and data interpretation. These resources cover topics such as probability calculations, hypothesis testing, regression models, and statistical reasoning.

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Question:

Which of the following sampling methods would bias the set of responses? Select all that apply. - ☐ A. asking people to return a mail-in card - ☐ B. tossing a chipped number cube - ☐ C. calling people between 3:00 P.M. and 4:00 P.M. - ☐ D. interviewing pet owners about their pet's health Which of the following is an example of a statistical experiment? - ☐ A. Twenty people in a neighborhood are asked if they want more streetlights on the street. - ☐ B. More streetlights are installed on one street and people are then asked if they like the change. - ☐ C. The number of accidents on the street is compared to last year's rate. - ☐ D. People are asked to call a number to comment about the need for new streetlights. Choose the word to describe the sampling method. The first ten people who show up for class are asked to fill out a form. This is a self-selected sample. Choose the word to describe the sampling method. All students whose ID numbers are divisible by 5 are asked about what music they like. This is a systematic sample. A student wants to study the effect of meditation on the time a person is able to balance on one leg. She finds 40 volunteers who have never meditated, and records their balance times. She selects 20 of them at random, and instructs them to practice meditation daily for two weeks. In two weeks, she records the balance times for all 40 volunteers again. What is the group of volunteers who were asked to meditate called? - ☐ A. the control group - ☐ B. the experimental group - ☐ C. the sample group - ☐ D. the study group

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Solution
Homework
11 months ago
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Question:

# ASSESSMENT Read each item carefully. Write the letter of the best answer for each test item before the number. 1. Which of the following statement describe a continuous random variable? A. The number of students present in a Class Temperance. B. The average distance travelled by a tricycle in a month. C. The number of motorcycles owned by a randomly selected household. D. The number of girls taller than 5 feet in a random sample of 6 girls. 2. Which of the following is an example of discrete variable? A. Distance travelled between cars. C. Number of blue marbles in the box. B. Height of the students in a section. D. Weight of potatoes in the basket. 3. You decided to conduct a survey of families with two children. You are interested incounting the number of girls (out of 2 children) in each family. Is this a random variable? A. Yes, it is a random variable. C. Maybe. B. No, it is not a random variable. D. Cannot be determined. 4. Suppose you tossed three coins. What are the sample spaces for the experiment above? A. HHH, TTT C. TTT, HHH, TTH, THT, HTH B. TTT, HHH, HHT, THT, HTH D. TTT, TTH, THT, HTT, HHT, HTH, THH, HHH 5. Suppose three laptops are tested. Let D represent the defective laptop and N for the non-defective laptop. How many possible outcomes will occur from the experiment? A. 3 B. 4 C. 8 D. 9 6. Based on number 5, if we let $X$ be the random variable representing the number of non-defective laptops. What are the possible values of the random variable? A. 0,1 B. $0,1,2$ C. 1, 2, 3 D. $0,1,2,3$ 7. Which probability distribution represents the given problem on number 6? A. B. | $x$ | 0 | 1 | 2 | | :-- | :-- | :-- | :-- | | $P(x)$ | $1 / 2$ | $1 / 2$ | $1 / 4$ | | $x$ | 0 | 1 | 2 | | :-- | :-- | :-- | :-- | | $P(x)$ | $1 / 2$ | $3 / 8$ | $3 / 8$ | C. D. | $x$ | 0 | 1 | 2 | | :-- | :-- | :-- | :-- | | $P(x)$ | $1 / 4$ | $1 / 2$ | $1 / 4$ | | $x$ | 0 | 1 | 2 | 3 | | :-- | :-- | :-- | :-- | :-- | | $P(x)$ | $1 / 8$ | $1 / 8$ | $35 / 8$ | $1 / 8$ | 8. The given table represents a probability distribution. What is $P(x) \mathrm{i}^{2} x=1+4$ ? | $x$ | 4 | 8 | 16 | 16 | | :--: | :--: | :--: | :--: | :--: | | $P(x)$ | 1 | 2 | 3 | 3 |

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Solution
Homework
11 months ago
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