Statistics Questions from Dec 19,2024

Browse the Statistics Q&A Archive for Dec 19,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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In a survey of 1968 adults, \( 46 \% \) responded "yes" to the survey question. How many adults answered "yes"? (round to the nearest whole person as needed) What is a scatter plot? 9. Find the mean, median, mode, and range using the following data. \[ \{82,89,92,89,89\} \] Mean: Median: Mode: Range: What conditions are necessary in order to use a one-way ANOVA test? Which conditions below are necessary? Select all that apply. \( \square \) A. The sample must be randomly selected from the same population. \( \square \) B. The sample sizes must be equal. \( \square \) C. Each population must have the same variance. \( \square \) D. The samples must be randomly selected from a normal, or approximately normal, population. \( \square \) E. There must be at least 3 samples. \( \square \) F. The samples must be independent of each other. A research center claims that \( 28 \% \) of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1100 adults in that country, \( 32 \% \) say that they would travel into space on a commercial flight if they could afford it. At \( \alpha=0.10 \), is there enough evidence to reject the research center's claim? Complete parts (a) through (c) below. A) Identify the claim and state \( \mathrm{H}_{0} \) and \( \mathrm{H}_{\mathrm{a}} \). Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) if they could afford it. B. No more than \( \square \) \% of adults in the country would travel into space on a commercial flight if they could afford it. C. At least \( \square \% \) of adults in the country would travel into space on a commercial flight if they could afford it. D. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not \( \square \% \). Which of the following numbers has 5 significant figures? 0.00456 256 0.001 7507.1 For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim. An amusement park claims that the mean daily attendence at the park is at least 18,000 people. \( \begin{array}{lll}\text { A. } \mu=18,000 & \text { B. } \mu>18,000 & \text { C. } \mu \leq 18,000 \\ \text { D. } \mu<18,000 & \text { E. } \mu \geq 18,000 & \text { F. } \mu \neq 18,000\end{array} \) \( \begin{array}{ll}\text { Write the claim as a mathematical statement. }\end{array} \) A local chess club claims that the length of time to play a game has a mean of 45 minutes or less. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is A type II error will occur if the actual mean of the length of time to play a game is the null hypothesis, Recently, a random sample of \( 25-34 \) year olds was asked, "How much do you currently have in savings, not including retirement savings? The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings. The sample mean amount of savings is \( \$ \). (Round to the nearest dollar as needed.) The following newspaper type graphic illustrates the ideal family size (total children) based on a survey of adults from a certain country. Complete parts (a) through (c) bel Click the icon to view the graphic. (a) What type of graphic is being displayed? Bar graph Pie chart Dot plot (b) Describe any problems with the graphic. Select all that apply. \( \square \) A. This data should have been displayed using a stem-and-leaf plot or an ogive instead of the current graphic. \( \square \) B. It is difficult to determine which option that the people who don't know of an ideal family size responded. \( \square \) C. A reader cannot tell whether the graph ends at the top of the nipple on the baby bottle or at the end of the milk. \( \square \) D. The categories are not the same size, which misrepresents the data. There are far more possible responses that fall under "3 or more" than those that fall under "O to 2."
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