21-22 Statistics Per 6 Burns Kimberly Perlik 06/16/22 6:00 AM (@ Homework: Section 7.3 Homework (Copy) Question 8, 7.3.29-T HW Score: 11.76%, 4 of 34 points Part 1 of 5 Points: 0 of 5 Save A car company says that the mean gas mileage for its luxury sedan is at least 24 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 23 mpg and a standard deviation of 2 mpg. At a = 0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. Which sampling distribution should be used and why? O A. Use a t-sampling distribution because n 30. D. Use a normal sampling distribution because the population is normal, and o is known. O E. Use a t-sampling distribution because the population is normal, and o is known. O F. Use a t-sampling distribution because the population is normal, and o is unknown. t-Distribution Table Area under a normal curve to the left of z (page 1) Area under a normal curve to the Level of confidence, c 0.80 0.90 Z .09 .08 .07 .06 .05 .04 .02 .00 .01 .02 .03 0.95 0.98 0.99 One tail, a 0.10 0.05 0.025 0.01 0.005 - 3.4 0002 0003 .0003 .0003 .0003 .0003 .0003 .000 0.0 5000 5040 .5080 5120 000 .0004 0.1 5398 5438 5478 .5517 d.f. Two tails, a 0.20 0.10 0.05 0.02 0.01 d.f. -3.3 .0003 0004 0004 .0004 .0004 .000 3.078 6.314 12.706 31.821 63.657 -3.2 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .000 0.2 5793 5832 5871 5910 - 3.1 .0008 .0008 .0008 0009 .000 0.3 6179 .6217 .6255 .6293 2 1.886 2.920 4.303 6.965 9.925 .0007 0007 0008 W N 0.4 .6554 6591 .6628 6664 1.638 2.35 3.182 4.541 5.841 - 3.0 0010 0011 .0011 .0011 .0012 .0012 .001 3.747 .0014 .0016 1.533 2.132 4.604 - 2.9 .0015 .0015 .0016 .0017 .001 0.5 .6915 .6950 6985 .7019 2.776 .7357 5 2.015 2.571 3.365 4.032 5 - 2.8 .0019 0020 0021 .0022 .0023 0023 .002 0.6 7257 .7291 .7324 -2.7. .0026 0027 .0028 .0029 .0030 .0031 .0032 .003 0.7 7580 .7611 7642 .7673 6 1.440 1.943 2.447 3.143 3.707 1.415 1.895 2.998 3.499 -2.6 .0036 .0037 .0038 .0039 .0040 .0041 .0043 .004 0.8 7881 7910 .7939 .7967 2.365 1.397 2:306 2.896 3.355 8 -2.5 0048 .0049 0051 .0052 0054 .0055 .0057 .005 0.9 8159 .8186 8212 .8238 1.860 -2.4 .0064 0066 .0068 .0069 .0071 .0073 .0075 .007 1.0 8413 8438 8461 .8485 1.383 1.833 2.262 2.821 3.250 9 3.169 10 -2.3 .0084 0087 .0089 .0091 .0094 .0096 .0099 .010 1.1 8643 8665 8686 .8708 10 1.372 1.812 2.228 2.764 1.2 .8849 .8869 8888 .8907 11 1.363 1.796 2.201 2.718 3.106 11 - 2.2 0113 0116 .0119 .0122 .0125 .0129 .013 -2.1 0143 0146 .0150 0154 .0158 .0162 .0166 .017 1.3 .9032 9049 9066 9082 12 1.356 1.782 2.179 2.681 3.055 12 -2.0 .0183 0188 0192 .0197 .0202 .0207 .0212 .0217 1.4 .9192 9207 9222 9236 13 1.350 1.771 2.160 2.650 3.012 13 2.977 14 -1.9 0233 0239 0244 .0250 0256 .0262 .0268 .027 1.5 .9332 9345 9357 9370 14 1.345 1.761 2.145 2.624 0329 0336 034 1 241 1 762 2121 2 047 15 -1 8 0294 0301 0307 0314 0325 4 5 O E R Y U O D F G H K