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Home Question Bank Math Statistics Archive 2024 November 30

Statistics Questions from Nov 30,2024

Browse the Statistics Q&A Archive for Nov 30,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( \begin{array}{l} U=\{\text { Vitamins }\} \\ A=\{\text { Vits } B, \text { Vit } B 12, \text { Folate }\} \\ B=\{\text { Vit } K, \text { Vit } C, \text { Calcium }\} \\ \text { (a) Show these sets on a Venn diagram } \\ \text { (b) List the elements of } A \cap B \\ \text { (c) List the elements of } A^{\prime} \\ \text { (d) List the elements of } A^{\prime} \cup B\end{array} \) Задача 1. При определении козффициента трения почвы о рабочий орган получены следующие результаты: 0,\( 45 ; 0,51 ; 0,52 ; 0,46 ; 0,51 \). Необходимо вычислить \( \vec{x}, S_{x}-95 \% \)-ные и \( 99 \% \)-ные доверительные интервалы для среднего значения совокупности. 22. At a recent PGA tournament (the Honda Classic at Palm Beach Gardens, Florida) the following scores were posted for eight randomly selected golfers for two consecutive days. At the 0.05 level, is there evidence that Thursday is lower? What is the Critical Value (If there are two, separate them with a comma) \( =\square \) What is the test statistic? DETAILS MY NOTEs 23. An agent claims that there is no difference between the game-day pay of safeties and linebackers in the NFL. A survey of randefaly selected players is in the tal the hypothesis at the \( \mathrm{a}=0.07 \) level. What is the Critical Value (If there are two, separate them with a comma) \( =\square \) Exercise Questions - The Capture Recapture Technique 1 From a lake, 100 rock lobsters were caught, tagged and returned, Six months later, a random sample of 80 lobsters was taken and 11 were found to be tagged. Which of the following values is the best estimate for the number of rock lobsters in the lake? Select \( \mathbf{A}, \mathbf{B} \), C or D. \( \begin{array}{llll}\text { A } 138 & \text { B } 727 & \text { C } 880 & \text { D } 1375\end{array} \) A little more practice with confidence intervals... A January 2019 Rasmussen Reports poll asked a random sample of 1000 likely U.S. voters if they believe social media such Facebook and Twitter make the U.S. a more or less divided nation. Of these likely voters, 650 said they believe social media makes the U.S. a more divided nation. Find a 95\% confidence interval for the proportion of all likely U.S. voters who believe social media such as Facebook and Twitter make the U.S. a more divided nation. Report your answer as an interval in the form (lower bound, upper bound) rounded to three decimal places. The \( P \)-value of a hypothesis test (a.k.a. test of significance) is calculated assuming a significance level of 0.05 . nothing-we make no assumptions about which hypothesis is true in order to avoid bias. the alternative hypothesis is true. the null hypothesis is true. A survey was sent to 1000 randomly selected registered drivers in Atlanta asking for the average number of miles driven to and Which of the sources of error are accounted for by this margin of error? error due to nonresponse error due to random sampling error due to incorrect data entry the survey. The margin of error for the interval was reported to be 5 miles. Suppose the weights of seventh-graders at a certain school vary according to a Normal distribution, with a mean of 100 pounds What would the \( P \)-value tell the researcher in this situation? the probability that a random sample of students would have a mean less than or equal to 98 pounds, if the true population mean is 100 pounds the probability that a rand lunch program at the school. She finds, in a random sample of 35 students, an average weight of 98 pounds. 100 pounds the probability that a random sample of students would have a mean of 98 pounds, if the true population mean is a mean of 100 pounds, if the true population mean is 98 pounds the probability that a random sample of students would have a mean less than orequal to 100 pounds, if the true population mean is 98 pounds In their advertisements, the manufacturers of a certain brand of breakfast cereal would like to claim that eating their oatmeal for The agency should be testing the null hypothesis \( H_{0}: \mu=10 \) and the alternative hypothesis: \( H_{a}: \mu \neq 10 \). \( H_{a}: \mu>10 \). \( H_{a}: \mu \neq 10 \pm \frac{\sigma}{\sqrt{n}} \). \( H_{a}: \mu<10 \).
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