A survey is planned to compare salaries of plant managers in two regions. The plan is to take a sample of 400 plantmanagers from each region and ask their annual salaries. Assume that previous sample statistics suggest that0₁ = 02 = $4000. Are the sample sizes sufficient to produce a 95% confidence interval on μ₁-μ₂ having a width of only$1000?Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.The sample sizessufficient because the samples would need to be at leastpeople each, which isthe planned sample sizes of 400.t whole number as needed.)greater thanless than Areas under the Normal CurveAreas under the Normal Curvez.00.01-3.40.0003 0.0003 0.0003 0.0003-3.3 0.0005 0.0005 0.0005 0.0004-3.2 0.0007 0.0007 0.0006 0.0006-3.1 0.0010 0.0009 0.0009 0.0009-3.0 0.0013 0.0013 0.0013 0.0012-2.9 0.0019 0.0018 0.0018 0.0017-2.8 0.0026 0.0025 0.0024 0.0023-2.7 0.0035 0.0034 0.0033 0.0032-2.6 0.0047 0.0045 0.0044 0.0043-2.5 0.0062 0.0060 0.0059 0.0057-2.4 0.0082 0.0080 0.0078 0.0075-2.3 0.0107 0.0104 0.0102 0.0099.02.03.05.04.06.070.0003 0.00030.0003 0.00030.0004 0.0004 0.0004 0.00040.0006 0.0006 0.0006 0.00050.0008 0.0008 0.0008 0.00080.0012 0.0011 0.0011 0.00110.0016 0.0016 0.0015 0.00150.0023 0.0022 0.0021 0.00210.0031 0.0030 0.0029 0.0028.08.090.0003 0.0002 -3.40.0004 0.0003 -3.30.0005 0.0005 -3.2zZ.00.01.02.03.04.05.06.070.0007 0.0007 -3.10.0010 0.0010 -3.00.30.4-0.3 0.3821 0.3783 0.37452.00.010.0041 0.0040 0.0039 0.00380.0055 0.0054 0.0052 0.00510.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.40.0096 0.0094 0.0091 0.0089 0.0087-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.05710.0559 -1.5-1.4 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0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.91.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.01.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.11.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.21.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.31.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.41.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.51.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.61.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.71.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.81.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.92.0 0.9772 0.9778 0.9783 0.9788 0,9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.02.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.12.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.98780.9881 0.9884 0.9887 0.9890 2.22.30.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.32.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.42.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.52.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.60.9965 0.9966 0.99670.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.72.80.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.82.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.93.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.03.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.99920.9992 0.9992 0.9993 0.9993 3.13.2 0.99930.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.23.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.33.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4.01.02.03.04.05.06.07.08.09.08.090.5319 0.5359 0.02Z

Given ,$4000having a width of onlyA 95% confidence interval on having a width of only $10000And ,…

Answered: A survey is planned to compare salaries…

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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Women are recommended to consume 1790 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 11 women who participated in the study is shown below: 2035, 2079, 1842, 1923, 1701, 1889, 1691, 1731, 1730, 2006, 1954 Assuming that the distribution is normal, what can be concluded at the αα = 0.01 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: ? p μ Select an answer = > < ≠ H1:H1: ? μ p 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 on this, we should Select an answer accept fail to reject reject the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean calorie…
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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.2 mm and a standard deviation of 4.1 mm. (Round your answers to four decimal places.) A USE SALT (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.1 mm and a standard deviation of 4.5 mm. (Round your answers to four decimal places.) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? For healthy children, what is the value for which only about 20% have a larger left atrial diameter?
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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a standard deviation of 4.4 mm. (Round your answers to four decimal places.)

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