MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The Athletics Department at a high school is interested in the difference in the run times between 11th and 12th grade students. Suppose the 11th grade students make up the first sample while the 12th grade students make up the second.Using a confidence level of 95%, the confidence interval found was (−1.8,2.9)(-1.8,2.9).Which of the following is the correct interpretation? We are 95% confident that the run times of the 11th grade students are, on average, faster than those of the 12th grade students. We are 95% confident that the run times of the 11th grade students are, on average, slower than those of the 12th grade students. We are 95% confident that the run times of the 11th grade students are, on average, about the same as those of the 12th grade students.arrow_forwardYou sample 1O0 people to see if they have been to the grocery store in the past week, and find that 85% (.85) of them have been. What is the 95% confidence interval for this study? Leave your answer in decimal format to 2 decimal places. In other words, .04 instead of 3.6% or .11 instead of 11.4%.. O .78 to .92 .84 to .85 O .60 to 1.10 O .60 to 1.00 .15 to 1.55arrow_forwardI collect a random sample of size n from a population and from the data collected compute a 90% confidence interval for the mean of the population. Which of the following would produce a wider confidence interval, based on these same data? Use a larger confidence level. Use a smaller confidence level. a b.arrow_forward
- Construct the confidence interval for the population mean u. c=0.98, x=16.5, o=4.0, and n=60. A 98% confidence interval for u is (___,___). (Round to one decimal place as needed.arrow_forwardK Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 90% confidence level. What does the confidence interval tell about the population of all college students in the state? 3.8, 3.0, 4.2, 4.8, 2.8, 4.2, 3.4, 4.8, 4.7, 4.1, 4.5, 3.7, 3.1, 3.9, 4.0 this 2 W S View an example X H hand What is the confidence interval for the population mean μ? << (Round to two decimal places as needed.) #3 80 P3 E D C Get more help - $ 4 888 FA R F % 5 V T FS G MacBook Air B F6 Y H & 7 N с *** J 00* 8 FB I M 9 F9 H Clear all L F10 888 P command Check answer { L [ alt option (0) ? } 1 deletearrow_forwardK A university would like to examine the relationship between a faculty member's performance rating (measured on a scale of 1-20) and his or her annual salary increase. The table to the right shows these data for eight randomly selected faculty members. Construct a 90% confidence interval for the regression slope. Construct a 90% confidence interval for the slope. LCL= and UCL= (Round to three decimal places as needed.) Rating Increase Rating Increase 17 $2400 14 $2000 18 8 22 $2600 14 $2700 $1800 16 $2100 $1600 15 $1900arrow_forward
- A random sample of 318 students from a large college were asked if they are planning to visit family during Thanksgiving break. Based on this random sample, a 99% confidence interval for the proportion of all students at this college who plan to visit family during Thanksgiving break is 0.78 to 0.98. Which of the following is the correct interpretation of the confidence interval? options: We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students at this college who plan to visit family during Thanksgiving break. We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students in this sample who plan to visit family during Thanksgiving break. We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students at this college who said they plan to visit family during Thanksgiving break. None of these is correct.arrow_forwardUse the Student's t distribution to find tc for a 0.95 confidence level when the sample is 17. (Round your answer to three decimal places.)arrow_forwardUse the Student's t distribution to find tc for a 0.90 confidence level when the sample is 25. (Round your answer to three decimal places.)arrow_forward
- Construct a 95% confidence interval estimate for the mean GPA . Change the interval above to a 99% confidence interval estimate for the mean GPA. If you want this 99% confidence interval estimate to be no wider than ± 0.1, by how much must you increase the sample size? ID Female Major GPA 1 1 4 2.537 2 0 2 3.648 3 1 3 2.981 4 0 2 2.683 5 1 2 3.234 6 1 3 2.467 7 1 1 3.384 8 1 3 3.555 9 0 2 3.263 10 1 1 3.711 11 1 5 1.970 12 1 4 3.406 13 0 1 2.523 14 0 3 1.750 15 1 6 3.191 16 1 2 2.795 17 0 1 2.606 18 0 5 2.397 19 1 6 3.791 20 0 4 3.490 21 0 3 2.421 22 0 5 3.937 23 0 5 2.890 24 1 6 2.246 25 1 2 3.371 26 1 5 3.114 27 0 1 3.084 28 0 5 2.703 29 1 3 3.045 30 0 1 1.948 31 1 1 2.717 32 1 6 1.996 33 1 3 2.870 34 0 5 2.986 35 0 1 3.393 36 1 2 2.740 37 1 6 2.499 38 1 4 3.695 39 1 4 2.664 40 1 5 2.306 41 1 3 3.022 42 1 6 2.776 43 1 5 2.175 44 0 2 3.828 45 0 6 3.410 46 0 4 2.330 47 0 5 3.978 48 1 3…arrow_forwardI 4. The numbers below represent the weekly time (in hours) that a random sample of college football players spent lifting weights. 7.4, 5.8, 7.3, 7, 8.9, 9.4, 8.3, 9.3, 6.9, 7.5, 9, 5.8, 5.5, 8.6, 9.3, 3.8 a. Construct, by hand, a 99% confidence interval of the mean weekly time college football players spend lifting weights. b. Interpret your confidence interval in context of the problem.arrow_forwardWhat if we're able to use a normal model. To construct a 95% Confidence Interval, we use the following formula: p hat ± ME for 95% CI If p hat = 0.38 and ME for 95% CI = 0.096, what is CI? Keep the numbers in 3 decimal places. Put the two numbers in ( ) and use a comma, then a space between the two numbers.arrow_forward
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