Can you answer question #1 and #2? ZOOM +Name:1. According to a report published by Gallup Institute on February 20, 2020, based onthe interview that took place between February 3 and February 16, 77% of 1,028 randomlyselected American adults felt they were generally confident in the federal government's abilityto handle a potential corona-virus outbreak. Find the 98% confidence interval.2. In 1995, Cook County, Illinois (1.4 million households), conducted a study to determinehow far the head of household travels to work. A simple random sample of 2,518 householdswas chosen and the occupants were interviewed. The survey found that the mean commutingtime for the head of households was 42.6 minutes and the standard deviation was 16.7minutes.(a) Explain why the normal distribution (z-distribution) is appropriate for the inferentialanalyses in this case.(b) Estimate the 95% confidence interval for the true mean commuting time of of the headof households in Cook County.(c) Estimate the 95% upper confidence bound.3. The following observations were made on fracture toughness of base plate of 18% nickelmaraging steel in ksi Vin.69.5 71.9 72.6 73.1 73.3 73.5 75.5 75.7 75.8 76.1 76.276.2 77.0 77.9 78.1 79.6 79.7 79.9 80.1 82.2 83.7 93.7(a) Explain why the t-curve is more appropriate than the z-curve in this case.(b) Find the 99% lower confidence bound of the mean fracture toughness.(c) Find the 95% confidence interval. Page1 of 2ZOOM +T-2TablesProbabilityTable entry for z isthe area under thestandard normal curveto the left of z.TABLE AStandard normal probabilities.00.01.02.03.04.05.06.07.08.09-3.4.0003.0003.0003.0003.0003.0003.0003.0003.0003.0002-3.3.0005.0007.0005.0007.0005.0004.0004.0004.0004.0004.0004.0005.0007.0003-3.2.0006.0006.0006.0008.0006.0008.0011.0016.0006.0008.0005.0005-3.1.0010.0009.0009.0009.0008.00070013.0011.0015.0010.0014-3.0.0013.0019.0013.0012.0012.0011.0010-2.9-2.8.0018.0018.0017.0016.0015.0014.0019.0026.0026.0025.0024.0023.0023.0022.0021.0021.0020.0030.0040-2.7.0035.0034.0033.0032.0031.0029.00280027-2.6.0047.0045.0044.0043.0041.0039.0038.0037.0036-2.5.0062.0060.0059.0057.0055.0054.0052.0051.0049.0048-2.4.0082.0080.0078.0075.0073.0071.0069.0068.0066.0064-2.3-2.2.0107.0139.0179.0089.0116.0104.0102.0099.0096.0094.0091.0087.0084.0136.0132.0129.0125.0122.0119.0113.0110-2.1.0174.0170.0166.0162.0158.0154.0150.0146.0143-2.0-1.9.0228.0222.0217.0212.0207.0262.0202.0197.0192.0188.0239.0301.0183.0233.0294.0268.0287.0359.0281.0274.0256.0250.0314.0244-1.8.0351.0344.0336.0329.0322.0307-1.7.0446.0436.0427.0418.0409.0401.0392.0384.0375.0367-1.6-1.5.0548.0537.0526.0516.0505.0495.0485.0475.0465.0455.0668.0655.0643.0630.0618.0606.0594.0582.0571.0559-1.4.0808.0793.0778.0764.0749.0735.0721.0708.0694.0681-1.3.0968.0951.0934.0918.0901.0885.0869.0853.0838.0823-1.2.1151.1131.1112.1093.1075.1056.1038.1020.1003.0985-1.1.1357.1335.1314.1292.1271.1492.1251.1230.1210.1190.1401.1170.1587.1841.1446.1685-1.0.1562.1539.1515.1469.1423.1379-0.9.1814.1788.1762.1736.1711.1660.1635.1611-0.8-0.7-0.6.2119.2090.2061.2033.2005.1977.1949.1922.1894.1867.2177.2483.24202389.2358.2676.2327.2296.2266.2236.2206.21482643.2578.2912.25462514.2843.3192.3557.27432709.2611.2451.2981.2877-0.5-0.4-0.3-0.2-0.13085.3050.3015.2946.2810.2776.3409.3372.3336322835943446.3300.3264.3156312138213783.3745.3707.3669.3632.3520.3897.4286.3483.4207.4168.4129.4090.4052.4013.3974.3936.385946024562.4522.4483.4443.4404.4364.4325.42470.0.5000.4960.4920.4880.4840.4801.4761.4721.4681.4641

Name: Can you answer question #1 and #2? ZOOM +Name:1. According to a report
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Description: Can you answer question #1 and #2? ZOOM +Name:1. According to a report published by Gallup Institute on February 20, 2020, based onthe interview that took place between February 3 and February 16, 77% of 1,028 randomlyselected American adults felt th

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Can you answer question #1 and #2? ZOOM +Name:1. According to a report published by Gallup Institute on February 20, 2020, based onthe interview that took place between February 3 and February 16, 77% of 1,028 randomlyselected American adults felt they were generally confident in the federal government's abilityto handle a potential corona-virus outbreak. Find the 98% confidence interval.2. In 1995, Cook County, Illinois (1.4 million households), conducted a study to determinehow far the head of household travels to work. A simple random sample of 2,518 householdswas chosen and the occupants were interviewed. The survey found that the mean commutingtime for the head of households was 42.6 minutes and the standard deviation was 16.7minutes.(a) Explain why the normal distribution (z-distribution) is appropriate for the inferentialanalyses in this case.(b) Estimate the 95% confidence interval for the true mean commuting time of of the headof households in Cook County.(c) Estimate the 95% upper confidence bound.3. The following observations were made on fracture toughness of base plate of 18% nickelmaraging steel in ksi Vin.69.5 71.9 72.6 73.1 73.3 73.5 75.5 75.7 75.8 76.1 76.276.2 77.0 77.9 78.1 79.6 79.7 79.9 80.1 82.2 83.7 93.7(a) Explain why the t-curve is more appropriate than the z-curve in this case.(b) Find the 99% lower confidence bound of the mean fracture toughness.(c) Find the 95% confidence interval. Page1> of 2ZOOM +T-2TablesProbabilityTable entry for z isthe area under thestandard normal curveto the left of z.TABLE AStandard normal probabilities.00.01.02.03.04.05.06.07.08.09-3.4.0003.0003.0003.0003.0003.0003.0003.0003.0003.0002-3.3.0005.0007.0005.0007.0005.0004.0004.0004.0004.0004.0004.0005.0007.0003-3.2.0006.0006.0006.0008.0006.0008.0011.0016.0006.0008.0005.0005-3.1.0010.0009.0009.0009.0008.00070013.0011.0015.0010.0014-3.0.0013.0019.0013.0012.0012.0011.0010-2.9-2.8.0018.0018.0017.0016.0015.0014.0019.0026.0026.0025.0024.0023.0023.0022.0021.0021.0020.0030.0040-2.7.0035.0034.0033.0032.0031.0029.00280027-2.6.0047.0045.0044.0043.0041.0039.0038.0037.0036-2.5.0062.0060.0059.0057.0055.0054.0052.0051.0049.0048-2.4.0082.0080.0078.0075.0073.0071.0069.0068.0066.0064-2.3-2.2.0107.0139.0179.0089.0116.0104.0102.0099.0096.0094.0091.0087.0084.0136.0132.0129.0125.0122.0119.0113.0110-2.1.0174.0170.0166.0162.0158.0154.0150.0146.0143-2.0-1.9.0228.0222.0217.0212.0207.0262.0202.0197.0192.0188.0239.0301.0183.0233.0294.0268.0287.0359.0281.0274.0256.0250.0314.0244-1.8.0351.0344.0336.0329.0322.0307-1.7.0446.0436.0427.0418.0409.0401.0392.0384.0375.0367-1.6-1.5.0548.0537.0526.0516.0505.0495.0485.0475.0465.0455.0668.0655.0643.0630.0618.0606.0594.0582.0571.0559-1.4.0808.0793.0778.0764.0749.0735.0721.0708.0694.0681-1.3.0968.0951.0934.0918.0901.0885.0869.0853.0838.0823-1.2.1151.1131.1112.1093.1075.1056.1038.1020.1003.0985-1.1.1357.1335.1314.1292.1271.1492.1251.1230.1210.1190.1401.1170.1587.1841.1446.1685-1.0.1562.1539.1515.1469.1423.1379-0.9.1814.1788.1762.1736.1711.1660.1635.1611-0.8-0.7-0.6.2119.2090.2061.2033.2005.1977.1949.1922.1894.1867.2177.2483.24202389.2358.2676.2327.2296.2266.2236.2206.21482643.2578.2912.25462514.2843.3192.3557.27432709.2611.2451.2981.2877-0.5-0.4-0.3-0.2-0.13085.3050.3015.2946.2810.2776.3409.3372.3336322835943446.3300.3264.3156312138213783.3745.3707.3669.3632.3520.3897.4286.3483.4207.4168.4129.4090.4052.4013.3974.3936.385946024562.4522.4483.4443.4404.4364.4325.42470.0.5000.4960.4920.4880.4840.4801.4761.4721.4681.4641

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