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Home Question Bank Math Statistics Archive 2025 January 19

Statistics Questions from Jan 19,2025

Browse the Statistics Q&A Archive for Jan 19,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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8. In a poll that interviewed 1,000 people about their favorite color, 640 people said they liked blue. a. Simplify this ratio to lowest terms. b. Assuming the same ratio holds true in another group of 125 people, how many of those people can we expect to like blue? 8. In a poll that interviewed 1,000 people about their favorite color, 640 people said they liked blue. a. Simplify this ratio to lowest terms. b. Assuming the same ratio holds true in another group of 125 people, how many of those people can we expect to like blue? Draw a histogram to represent the data for men from the group \( 60-64 \) to the age group \( 75-79 \). Which scenario is relying on visualization techniques to make large numbers more manageable? A judge compares total crimes this year to those of the past few years. A high school teacher wants to show her students how big the military budget is by comparing it to the size of the economy. A politician breaks down the new \$60 billion budget into what that will cost each person. A movie director has her actors fill a garage with the money they made to show the workers how successful the last movie was. What is a scatter plot? Tire lifetimes: A tire company claims that the lifetimes of its tires average 50,000 miles. The standard deviation of tire lifetimes is known to be \( \sigma=6000 \) miles, You sample 107 tires and will test the hypotheses: \( H_{0}: \mu=50,000 \) versus \( H_{1}: \mu<50,000 \) at the \( \alpha=0.05 \) level of significance. Find the power of the test against the alternative \( \mu_{1}=49,500 \). Round your answer to four decimal places, if necessary. The power of the test is Careers in science: A survey asked 590 people whether they had ever considered a career in science, and 320 said that they had. Can you conclude that the percentage of people who have considered a career in science is more than \( 50 \% \) ? Use the \( \alpha=0.05 \) level of significance. \( H_{0}: p=0.5 \) \( H_{1}: p>0.5 \) Part: \( 0 / 3 \) Part 1 of 3 (a) Find the \( P \)-value. Round your answer to at least four decimal places. The \( P \)-value is 0.0197 . Part: \( 1 / 3 \) We (Choose one) Part 2 of 3 (Choose one) is not equal to \( 50 \% \). is more than (b) What is the decision? (c) Interpret the result. Peject \( H_{0} \) Part: \( 2 / 3 \) Do not reject \( H_{0} \) Po 3 Careers in science: A survey asked 590 people whether they had ever considered a career in science, and 320 said that they had. Can you conclude that the percentage of people who have considered a career in science is more than \( 50 \% \) ? Use the \( \alpha=0.05 \) level of significance. \( H_{0}: p=0.5 \) Part: \( 0 / 3>0.5 \) Part 1 of 3 (a) Find the \( P \)-value. Round your answer to at least four decimal places. The \( P \)-value is 0.0197 , Part: \( 1 / 3 \) Part 2 of 3 (b) What is the decision? Reject \( H_{0} \) Do not reject \( H_{0} \) Decide if the following statement about graphs is true or false. Correct Graphs never distort the original data. Careers in science: A survey asked 590 people whether they had ever considered a career in science, and 320 said that they had. Can you conclude that th percentage of people who have considered a career in science is more than \( 50 \% \) ? Use the \( \alpha=0.05 \) level of significance. \[ \begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p>0.5 \end{array} \] Part: \( 0 / 3 \) \( \square \) Part 1 of 3 (a) Find the \( P \)-value. Round your answer to at least four decimal places. The \( P \)-value is 0.0197 . Part: \( 1 / 3 \) Part 2 of 3 (b) What is the decision? Reject \( H_{0} \) Do not reject \( H_{0} \)
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