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Home Question Bank Math Statistics Archive 2025 January 15

Statistics Questions from Jan 15,2025

Browse the Statistics Q&A Archive for Jan 15,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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What is the difference between a random sample and a simple random sample? Choose the correct answer below. A. With a random sample, each individual has the same chance of being selected. With a simple random sample, all samples of the same size have the same chance of being selected. B. With a random sample, all samples of the same size have the same chance of being selected. With a simple random sample, each individual has the same chance of being selected. A manufacturer of computer monitors estimates that 4 percent of all the monitors manufactured have a screen defect. Let \( p_{d} \) represent the population proportion of all monitors manufactured that have a screen defect. For the sampling distribution of the sample proportion for samples of size \( 100, \mu_{p_{a}}=0.04 \). Which of the following is the best interpretation of \( \mu_{\bar{p}},=0.04 \) ? For all samples of size 100 , the mean of all possible sample proportions of monitors manufactured that have a screen defect is 0.04 . For all samples of size 100 , the standard deviation of all possible sample proportions of monitors manufactured that have a screen defect is 0.04 . F. For a randomly selected screen monitor, the probability that the selected monitor will have a screen defect is 0.04 . (E) For each sample of size 100 , the proportion of monitors manufactured that will have a screen defect is 0.04 . be equal to 4 . Determine whether the variable given is qualitative-nominal, qualitative-ordinal, quantitative-discrete, or quantitative-continuous. Variable: Locker number A qualitative-ordinal B quantitative-discrete C quantitative-continuous D qualitative-nominal Determine whether the variable given is qualitative-nominal, qualitative-ordinal, quantitative-discrete, or quantitative-continuous. Variable: Shirt size ( \( S M, M, L, X L, X X L \) ) A qualitative-ordinal B qualitative-nominal C quantitative-discrete D quantitative-continuous Determine whether the variable given is qualitative-nominal, qualitative-ordinal, quantitative-discrete, or quantitative-continuous, Variable: The thickness of an aluminum can A qualitative-nominal B quantitative-discrete C quantitative-continuous D qualitative-ordinal Score: 0 of 5 points Enter your answer sampling is like stratified sampling, but the idea is that entire groups are selected as opposed to individuals. A school has 300 male students and 500 female students wanted to do a survey on a sample of 24 male and female students representing each layer according to its size. Calculate the number of students of each layer in the sample. For a certain population of men, 8 percent carry a certain genetic trait. For a certain population of women, 0.5 percent carry the same genetic trait. Let \( \hat{p}_{1} \) represent the sample proportion of randomly selected men from the population who carry the trait, and let \( \hat{p}_{2} \) represent the sample proportion of women from the population who carry the trait. For which of the following sample sizes will the sampling distribution of \( \hat{p}_{1}-\hat{p}_{2} \) be approximately normal? (A) 30 men and 30 women (C) 125 men and 20 women 100 women (D) 200 men and 2,000 women 1,000 men and 1,000 women The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books. A Stratified Random Sample B Systematic Random Sample C Cluster Random Sample D Convenience Sample E Simple Random Sample 3. A woman in the airport is handing out questionnaires to travelers asking them to evaluate the airport's service. She does not ask travelers who are hurrying through the airport with their hands full of luggage, but instead asks all travelers who are sitting near gates and not taking naps while they wait. A Cluster Random Sample B Simple Random Sample C Stratified Random Sample D Convenience Sample E Systematic Random Sample 4. A teacher wants to know if her students are doing homework, so she randomly selects rows two and five and then calls on all students in row two and all Atudents in row five to present the solutions to homework problems to the class. A Systematic Random Sample B Convenience Sample C Cluster Random Sample D Stratified Random Sample E Simple Random Sample
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