The senior class president of a large university claimed that 60% of the senior class was interested in going on the senior trip. To test this claim, the senior class president conducted a survey of a random sample of 40 seniors and 22 said that they wanted to go on the senior trip. To better understand the significance of the survey results, a simulation was devised based on the claim that 60% of the seniors wanted to go on the trip, each of sample size 40, simulated 300 times. Create a 95% confidence interval based on the data from the simulation, to the nearest hundredth, and state whether the observed proportion is within the margin of error of the simulation results.
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- The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t 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. Italian Seafood Steakhouse $12 $16 $24 13 18 19 15 17 23 17 26 25 18 23 21 20 15 22 17 19 27 24 18 31 Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses. O Ho: ralian * lseafood * lsteakhouse H: talian = lSeafood = ASteakhouse O Ho: Not all the…Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?A recent study investigated whether cell phone users experience separation anxiety when they cannot access their phones. Because blood pressure increases with anxiety, the researchers used systolic blood pressure as an operational measure of anxiety. The experiment involved a random sample of cell phone users that were divided into two groups at random. One group of participants completed a survey while their phones were locked in a cabinet in a separate room and the other group of participants completed the same survey while their phones were nearby. (The survey questions were unrelated to cell phone use.) At the end of the survey, theresearchers measured each participant's systolic blood pressure. The same experiment was conducted in Montreal, Toronto, Vancouver, and St. Zotique. The blood pressure data needed is below. Use these data to answer the following question: compute r2 for the data collected in st. zotique. Please answer to 5 decimal places. Cell Phone (CP) No Cell Phone…
- 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.Suppose you were presented with the results of a study comparing two different training methods for basketball athletes. You are told 32 athletes were randomly assigned to the two groups so that 16 were in the group A and 16 were in the group B. At the end of the session, the average scores (wins versus losses) of the two groups/teams were compared and a difference of 10% was observed ( the first team had 10% more wins than the second). The coach observer reports two- sample t-test shows this difference is statistically significant. How would you interpret these findings? What questions or concerns would you have? How might this type of study be improved? Hint: Consider the possibility that the test performed was not the appropriate one.A recent study investigated whether cell phone users experience separation anxiety when they cannot access their phones. Because blood pressure increases with anxiety, the researchers used systolic blood pressure as an operational measure of anxiety. The experiment involved a random sample of cell phone users that were divided into two groups at random. One group of participants completed a survey while their phones were locked in a cabinet in a separate room and the other group of participants completed the same survey while their phones were nearby. (The survey questions were unrelated to cell phone use.) At the end of the survey, theresearchers measured each participant's systolic blood pressure. The same experiment was conducted in Montreal, Toronto, Vancouver, and St. Zotique. The blood pressure data for all participants needed are below. Use these data to answer the following question: comoute the estimated standard error of d for the data collected in toronto. Please answer to 5…
- 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) 0.11The statistics department at a large Midwestern university is interested in how students feel about their introductory statistics course. They decide to randomly select 60 introductory stats students to give a survey, 10 from both the freshman and sophomore class ranks and 20 from both the junior and senior class ranks. They discover that of the 60 total respondents, 73% have a positive attitude toward intro stats. The proportion of the 60 introductory statistics students surveyed by the statistics department that did have positive attitudes toward intro stats (73%) is called a O a. population parameter O b. residual O c. correlation coefficient O d. sample statistic 3 Stat100 Practice..pdf 7 Writing Prompt 3.docx E Online Syllabus J...pdf E Bios357Schedul.pdf SH OCT1 étv 20 F3 トI A FI F9 F10 F5 F7 F8 F2 F4 %23 2$ & * 2 4. 5 6 7 8 9 Q W E T Y S F G H K しの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 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) ( , )During the pandemic, an HR manager randomly assigned 6 employees to work from homeand the other 6 employees to work from the office as usual. After three months, all 12employees’ job performance was tested. Scores for those working from home were 10, 12,14, 13, 11, 12, and scores for those who worked from the office were 8, 6, 10, 8, 9, and 7.The HR manager then compares the scores from both groups to determine which groupscores significantly higher.Based on the experiment above,a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level ofsignificance at one-tailed. Explain your finding.b) Sketch the t-distribution involved.A doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table. The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. The random condition is met. The 10% condition is not needed because random sampling did not take place. This table of expected counts shows that all expected counts are at least 5. What is the value of the chi-square test statistic? χ‑2 = 5.03 χ‑2 = 6.26 χ‑2 = 25.33 χ‑2 = 39.22