云< >RLLICHALLENGE6.2.2: Relating confidence intervals to hypothesis testing (one sample).ACTIVITY389226.2543846.qx3zqy7Jump to level 1An auto maker is interested in information about how long transmissions last. A sample of transmissions are runconstantly and the number of miles before the transmission fails is recorded. The auto maker claims that thetransmissions can run constantly for over 150,000 miles before failure. The results of the sample are given below.Miles (1000s of miles)Mean150.7Variance4.551Observations42Hypothesized Mean150df41t Stat2.17p = -2P(T<=t) one-tailt Critical one-tail0.0181.683P(T<=t) two-tail0.036-3231.t Critical two-tail2.02t = Ex: 1.234Confidence Level(95.0%) 0.665What condition is met for the use of a t-distribution? Pickn = Ex: 5x = Ex: 1.2Degrees of freedom = Ex: 5 Cs = Ex: 1.234C%3D1.2.3.CheckMacBook AirDDF3110F4F5F8LA2434.80

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(0 complete) HW Score: 0%, 0 6.2.3 Question Help Find the critical value t, for the confidence level c 0.90 and sample size n= 27. Click the icon to view the t-distribution table. t-Distribution Table t=(Round to the nearest thousandth as needed.) 1.533 2.132 2.776 3.747 4.604 4. 1.476 2.015 2.571 3.365 4.032 5n 6. 1.440 1.943 2.447 3.143 3.707 6. 1.415 1.895 2.365 2.998 3.499 7 8. 1.397 1.860 2.306 2.896 3.355 8. 9. 1.383 1.833 2.262 2.821 3.250 9. 10 1.372 1.812 2.228 2.764 3.169 10 11 1.363 1.796 2.201 2.718 3.106 11 12 1.356 1.782 1.771 2.179 2.681 3.055 12 13 1350 2.160 2.650 3.012 13 14 1.345 1.761 2.145 2.624 2.977 14 15 1.341 1.753 2.131 2.602 2.947 15 16 1.337 1.746 2.120 2.583 2.921 16 17 1.333 1.740 2.110 2.567 2.898 17 18 1.330 1.734 2.101 2.552 2.878 18 19 1.328 1.729 2.093 2.539 2.861 19 20 1.325 1.725 2.086 2.528 2.845 20 21 1.323 1.721 2.080 2.518 2.831 21 22 1.321 1.717 2.074 2.508 2.819 22 23 1.319 1.714 2.069 2.500 2.807 23 24 1.318 1.711 2.064 2.492 2.797 24 25…
Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was 91 hours per year. She used a random sample of 18 employees. The standard deviation of the sample was 5.9 hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a 95% confidence interval. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.
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When constructing a confidence interval for μ and/or a hypthesis test, how do you decide whether to use the t distribution or the normal distribution? Are there any circumstances when it is acceptable to use either distribution?
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A company would like to know if efficiency can be improved through a training course for employees. A sample of employees is taken. The time taken for an employee to complete a task before training and after training is observed. Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level Before n = 33.1 16.81 30 0 29 -2.282 0.051 -1.699 0.025 -2.045 95% After 31.7 12.25 30 p= Ex: 1.234: -3 -2 t = Ex: 1.234 Ex: 9 Degrees of freedom: df = Point estimate for before training: before Ex: 1.234 Point estimate for after training: after -1 0 1 2 3
R %24 X 021 6-3 Challenge Activities: Confide X 1zd zy Section 6.2- MAT 240: Applied S X https://learn.zybooks.com/zybook/MAT-240-J4452-OL-TRAD-UG.22EW4/chapter/6/section/2 1y library > MAT 240: Applied Statistics home > 6.2: Confidence intervals for population means E zyBooks catalog ? F CHALLENGE 6.2.2: Relating confidence intervals to hypothesis testing (one sample). ACTIVITY 389618.2548816.qx3zqy7 Jump to level1 A worker stands at the end of a production line for mint chocolate chip ice cream and uses warm water to melt the ice cream away from the chocolate. The amount of chocolate is then weighed. Each container should contain 4 ounces of chocolate. The results of a simple random sample of 12 containers is shown below. Assume the amount of chocolate added to the ice cream is normally distributed. 3. Chocolate 3.917 0.042 12 Mean Variance Observations Hypothesized Mean What condition is met for the use of a t-distribution? 1. -1.42 JP Pick t Stat P(T<=t) one-tail t Critical…
The positive t values for a 2-tail and a 1-tail [a ‘right’ tail] 90% confidence interval & 43 degrees of freedom are… 2 Tails 1 Tail +1.960 +1.645 +2.017 +1.681 +1.681 +1.302 +1.645 +1.282
Working at Home Workers with a formal arrangement with their employer to be paid for time worked at home, worked an average of 19 hours per week. A random sample of 14 mortgage brokers indicated that they worked a mean of 23.1 hours per week with a standard deviation of 6.5 hours. At α=0.05, is there sufficient evidence to conclude a difference? Construct a 95% confidence interval for the true mean number of paid working hours at home. Compare the results of your confidence interval to the conclusion of your hypothesis test and discuss the implications. (a) State the hypothesis and identify the claim with the correct hypothesis. H0 H1 This hypothesis test is a one tailed/two-tailed test. (b)Find the critical value(s). Round the answer to 3 decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical values: (c)Compute the test value. Round the answer to at least 3 decimal places, if necessary. t= (d)Make the decision. Reject/do not…
total plasma volume is important in determining the required plasma component in blood replacement therapy for personal growth and surgery plasma volume is influenced by the overall health and physical activity of an individual suppose that a random sample 40 mile firefighters are tested in that they have a plasma volume sample mean of x=37.5 ml/kg assume thqy o=7.70 ml/kg for the distribution of blood plasmaFind a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? Lower limit? Upper limit? Round answer two decimal places
Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was 92 hours per year. She used a random sample of 21 employees. The standard deviation of the sample was 5.6 hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a 95% confidence interval. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number. 04-0 < <
One Sample T-test and Confidence Interval The average monthly cell phone bill was reported last year to be $53.88 by the U.S. Wireless Industry. Random sampling of a large cell phone company found the current monthly cell phone charges (in dollars) in the table on the left. At the 0.05 level of significance, can it be concluded that the average cell phone bill has increased? Also find an 85% confidence interval estimate of the current mean monthly cell phone bill. Cell Phone Bills 55.83 60.47 58.60 49.88 52.45 51.29 32.98 49.20 70.42 50.02 75.04 41.88 35.00 61.58 58.99 61.25 62.00 80.21 73.60 71.52 42.80 38.65 49.54 61.88 46.30 74.10 48.63 63.45 44.43 36.77 71.96 77.79 42.13 63.24 67.56 74.44 31.77 76.91 73.04 79.92 67.10 78.13 37.95 45.60 68.88 54.47 43.47 54.57 76.12 80.45 38.08 57.21 54.28 a. State the random variable and the parameter in words. b. State the null and…

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