The senior class president of a largeuniversity claimed that 60% of the seniorclass was interested in going on the seniortrip. To test this claim, the senior classpresident conducted a survey of a randomsample of 40 seniors and 22 said that theywanted to go on the senior trip. To betterunderstand the significance of the surveyresults, a simulation was devised based onthe claim that 60% of the seniors wantedto go on the trip, each of sample size 40,simulated 300 times. Create a 95%confidence interval based on the datafrom the simulation, to the nearesthundredth, and state whether theobserved proportion is within the marginof error of the simulation results. Mean = 0.597SD = 0.0750.35 0.4 0.45 0.5 0.55 0.60.65 0.70.75 0.8 0.85Proportion of Students Interested in the Tripxxxxxxxxxxxxxxxx(Note: don't use percents for the interval or sampleproportion.)The confidence interval based on thesimulation isso theobserved proportion in the samplesurvey ofisSubmit Answerofthe simulation's assumption that 60%of the senior class wanted to go on thetrip.attempt 1 out of 2

Percentage of senior class interested in going on the senior trip is 60%. Sample size is n=40, out…

Answered: The senior class president of a large…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.
The authors of a paper randomly selected two samples of patients admitted to the hospital after suffering a stroke. One sample was selected from patients who received biofeedback weight training for 8 weeks, and the other sample was selected from patients who did not receive this training. At the end of 8 weeks, the time it took (in seconds) to stand from a sitting position and then to sit down again (called sit-stand-sit time) was measured for the people in each sample. Data consistent with summary quantities given in the paper are given below. For purposes of this exercise, you can assume that the samples are representative of the population of stroke patients who receive the biofeedback training and the population of stroke patients who do not receive this training. Biofeedback Group 2.1 2.8 4.5 2.3 2.9 4.3 3.4 4.2 3.4 3.7 3.0 3.7 3.7 2.5 3.3 No Biofeedback Group 5.2 4.8 4.0 4.3 4.8 4.4 4.3 5.2 3.5 4.3 5.2 4.5 4.1 3.5 4.0 Conduct a test of hypothesis to test whether…
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Source Sum of Squares Degrees Mean Square F P-value of Variation (to whole number) of Freedom (to 2 decimals) (to 2 decimals) (to 4 decimals) X X (X) * X * * Treatments Error Total The p-value is less than 0.01…
Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, what is the estimate of the P-value of the test? A) 0.0333 B) 0.05 C) 0.0733 D) 0.11
An automotive company used two different drivers to test the fuel economy of its latest crossover model. Each driver tested the same 20 vehicles from the factory. When the supervisor reviewed the data, she thought it looked like Driver A had different fuel economies than Driver B on average for the different vehicles and decided to test the data. To test the data, she first separated the data into pairs, with each car tested as a pair. The data is given below, with the fuel economy for each car given in miles per gallon. Assume that both populations are normally distributed. Use Excel to test if the true mean difference between Driver A and Driver B is significantly different from zero, where α=0.05, where each difference is calculated as Driver A−Driver B. Identify the t-test statistic, rounding to two decimal places, and the p-value, rounding to three decimal places. Pair DriverA DriverB 3 35 31 4 33 35 5…
Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.83. n USE SALT (a) Construct a 95% confidence interval estimate of u, the population mean procrastination scale for second-year students at this college. (Use technology to calculate the critical value. Round your answers to three decimal places.) (b) How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.422, 38.618)? What does this tell you about the…
In a study conducted by the U.S. Department of Health and Human Services, a sample of 546 boys aged 6–11 was weighed, and it was determined that 87 of them were overweight. A sample of 508 girls aged 6–11 was also weighed, and 74 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight?
In the Chapter Preview we described a study showing that students had more academic problems following nights with less than average sleep compared to nights with more than average sleep (Gillen-O’Neel, Huynh, & Fuligni, 2013). Suppose a researcher is attempting to replicate this study using a sample of n = 8 college freshmen. Each student records the amount of study time and amount of sleep each night and reports the number of academic problems each day. The following data show the results from the study Treat the data as if the scores are from an independent-measures study using two separate samples, each with n = 8 participants. Compute the pooled variance, the estimated standard error for the mean difference, and the independent-measures t statistic. Using a two-tailed test with α = .05, is there a significant difference between the two sets of scores? b. Now assume that the data are from a repeatedmeasures study using the same sample of n = 8 participants in both…
The authors of a paper randomly selected two samples of patients admitted to the hospital after suffering a stroke. One sample was selected from patients who received biofeedback weight training for 8 weeks, and the other sample was selected from patients who did not receive this training. At the end of 8 weeks, the time it took (in seconds) to stand from a sitting position and then to sit down again (called sit-stand-sit time) was measured for the people in each sample. Data consistent with summary quantities given in the paper are given below. For purposes of this exercise, you can assume that the samples are representative of the population of stroke patients who receive the biofeedback training and the population of stroke patients who do not receive this training. Biofeedback Group 2.2 2.9 4.6 2.4 3.0 4.4 3.5 4.3 3.5 3.8 3.1 3.8 3.8 2.6 3.4 No Biofeedback Group 5.2 4.8 4.0 4.3 4.8 4.4 4.3 5.2 3.5 4.3 5.2 4.5 4.1 3.5 4.0 Conduct a test of hypothesis to test whether…
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. The data: Achievement_Group Cheat 1 20 1 40 1 49 1 50 1 51 1 51 1 52 1 53 1 58 1 42 1 48 1 48 1 52 1 55 1 55 1 56 1 59 1 67 1 80 1 79 2 19 2 25 2 20 2 29 2 24 2 32 2 25 2 27 2 30 2 55 2 40 2 25 2 27 2 35 2 42 2 30 2 30 2 34 2 40 2 27 3 60 3 65 3 69 3 78 3 79 3 80 3 80 3 90 3 95 3 50 3 55 3 55 3 60 3 69 3 70 3 70 3 88 3 90 3 90 3 91 Before opening the data,…
A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. Before opening the data, what would you hypothesize about this research question?

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