Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- Task-1. A professor at a university is wishing to determine whether his introductory statistics class has a good grasp of basic math or not. For this purpose, he chooses six students from his class and gives them a math proficiency test. To have a good grip of basic maths, the professor wants the class score above 70 marks on the test. The scores that the sample of six students gets are 62, 92, 75, 68, 83, and 95. Can the professor say with 90% confidence that the mean score for the whole class on the test would be above 70?arrow_forwardEach customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 5 customers and determining whether or not they purchase any merchandise. What is the number of sample points in the experiment?arrow_forwardExplain the four different types of sampling and give an example of each.arrow_forward
- Race organizers want to survey the participating runners on the quality of the running course. Which of the following uses systematic random sampling? Select the first 15 finishers and the last 15 finishers to take the survey. Randomly select 15% of the male participants and 15% of the female participants. Select the 5th finisher (with the number 5 being randomly chosen) to survey, then survey every 15th finisher after that. Sort all of the runners' names alphabetically, then randomly choose 2 letters and survey all participants whose last name begins with one of those letters.arrow_forwardA coach is interested in how many slam dunks the average college freshman at his university can do. Ten volunteers from the senior class step forward. After observing their performance, the coach concluded that college seniors can do an average of 10 slam dunks in a row without missing. what is the sample? what is the population?arrow_forwardYou randomly selected one sample of 40 citizens of your city to see if they wanted to increase taxes for education but you decided that you would do half younger people and half older people. Explain your answers. Is this random sampling? Is this simple random sampling?arrow_forward
- I AM RESUBMITTING THIS QUESTION FOR DIFFERENT PARTS. I NEED THE LAST 3 MULTIPLE CHOICE QUESTIONS ANSWERED. 5, 6, AND 7 Before the furniture store began its ad campaign, it averaged 160 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 16 randomly selected days since the ad campaign began is shown below: 131, 127, 148, 143, 141, 153, 158, 145, 138, 163, 164, 148, 166, 154, 170, 133 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer < = ≠ > H1:H1: ? p μ Select an answer = > ≠ < The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based…arrow_forwardSample surveys on sensitive issues can give different results depending on how the question is asked. A University of Wisconsin study randomly divided 2400 respondents into three groups. All participants were asked if they had ever used cocaine. One group of 800 was interviewed by phone; 21% said they had used cocaine. Another 800 people were asked the question in a one-on-one personal interview; 25% said “Yes.” The remaining 800 were allowed to make an anonymous written response; 28% said “Yes.”101. Was this an experiment or an observational study? Justify your answer.2. Make a two-way table of responses about cocaine use by how the survey was administered.3. Are the differences between the three groups statistically significant? Give appropriate evidence to support your answerarrow_forwardIdentify the type of sample ( Experimental or Observational) Then tell if the sample is biased 5. A researcher wants to select ten students for a survey. Each student’s name is placed in a hat and 10 names are selected.arrow_forward
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