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Maths Final Exam Review, Exams of Nursing

A series of questions and answers related to probability, hypothesis testing, and statistical inference. The questions cover topics such as independent and mutually exclusive events, multiple regression, mean estimation, hypothesis testing, confidence intervals, and margin of error. a good review for students preparing for a final exam in a statistics or probability course.

Typology: Exams

2023/2024

Available from 12/23/2023

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Download Maths Final Exam Review and more Exams Nursing in PDF only on Docsity! MATHS- Week 8 Final Exam *Review* Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive. - answerA and B are independent B and C are mutually exclusive In which of the following situations can multiple regression be performed? Select all that apply. - answer- predicting the current salary of an employee, given the initial salary and the number of years the employee has been in his or her current position - predicting the number of home runs a baseball player will hit in the next season, given the number of home runs the player hit in the previous season and the number of doubles the player hit in the previous season Timothy wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each of 75 randomly selected students in the school. What is the statistic? - answerthe mean number of siblings for the randomly selected students Which of the following results in the null hypothesis μ=38 and alternative hypothesis μ<38? - answerA fitness center claims that the mean amount of time that a person spends at the gym per visit is fewer than 38 minutes. If A and B are independent events with P(A)=0.4 and P(B)=0.5, find P(A AND B). - answer0.2 A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher administers the test to 200 random students and determines that 151 students pass the exam. The following is the setup for this hypothesis test: H0:p=0.80 Ha:p>0.80 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. - answer-1.59 On average, Cameron has noticed that 15 trains pass by her house daily (24 hours) on the nearby train tracks. What is the probability that at most 6 trains will pass her house in a 11-hour time period? (Round your answer to three decimal places.) - answer0.468 The answer choices below represent different hypothesis tests. Which of the choices are left-tailed tests? Select all correct answers. - answerH0:X=19.7, Ha:X<19.7 H0:X=11.2, Ha:X<11.2 Find the area to the right of the z-score 1.40 and to the left of the z-score 1.58 under the standard normal curve. - answer0.0237 Tanya loves to walk in the park everyday after work. Given the frequency table below for a list of miles walked daily over the past few weeks, find the mean. (Please do not include the units in your answer.) - answer12 A college professor claims the proportion of students that complete a homework assignment is 70%. To test this claim, a random sample of students are monitored and checked if they completed the home the algebra class. Assume that the test statistic for this hypothesis test is −1.73. Since this is a two tailed hypothesis test, assume that the critical values for this hypothesis test are −1.96 and 1.96. Come to a decision for the hypothesis test and interpret your results with respect to the original claim. - answerFail to reject the null hypothesis.There is not enough evidence to reject the claim that the proportion of students that complete a homework assignment is 70%. Given the following frequency table of values, is the mean or the median likely to be a better measure of the center of the data set? Value 23 24 25 26 27 28 Frequency 4 3 4 4 2 4 - answerMedian Hugo is keeping track of the total amount of money he has saved over time. The line graph below shows the data. - answer9 Suppose the manager of a shoe store wants to determine the current percentage of customers who are males. How many customers should the manager survey in order to be 99% confident that the estimated (sample) proportion is within 5 percentage points of the true population proportion of customers who are males? - answer664 Liam wants to estimate the percentage of people who lease a car. He surveys 240 individuals and finds that 54 lease a car. Find the margin of error for the confidence interval for the population proportion with a 95% confidence level. - answer0.053 The number of square feet per house are normally distributed with a population standard deviation of 137 square feet and an unknown population mean. A random sample of 19 houses is taken and results in a sample mean of 1350 square feet. Find the margin of error for a 80% confidence interval for the population mean. - answer40.29 Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary school children and finds that 280 have a social media account.
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