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The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 16-inch pizzas. She takes a random sample of 25 pizzas and records their mean and standard deviation as 16.10 inches and 1.8 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [15.36, 16.84]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.8 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch? Use Table 1. (Round intermediate calculations to 4 decimal places. Round "z-value" to 2 decimal places. Round up your answer to the nearest whole number.) Sample size

The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 16-inch pizzas. She takes a random sample of 25 pizzas and records their mean and standard deviation as 16.10 inches and 1.8 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [15.36, 16.84]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.8 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch? Use Table 1. (Round intermediate calculations to 4 decimal places. Round "z-value" to 2 decimal places. Round up your answer to the nearest whole number.) Sample size

MATLAB: An Introduction with Applications
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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Please help me don't do handwritten please explain concept and stepwise, i will definitely like the answer... Do using  table only or skip please .

The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 16-inch pizzas. She takes a random sample of 25 pizzas and records their mean and standard deviation as 16.10 inches and 1.8 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [15.36, 16.84]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.8 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch? Use Table 1. (Round intermediate calculations to 4 decimal places. Round "z-value" to 2 decimal places. Round up your answer to the nearest whole number.) Sample size
Transcribed Image Text:The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 16-inch pizzas. She takes a random sample of 25 pizzas and records their mean and standard deviation as 16.10 inches and 1.8 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [15.36, 16.84]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.8 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch? Use Table 1. (Round intermediate calculations to 4 decimal places. Round "z-value" to 2 decimal places. Round up your answer to the nearest whole number.) Sample size
TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of -2. For example, P(Z <-1.52) = 0.0643. Z -3.9 -3.8 -3.7 -3.6 -3.5 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 0.00 0.0000 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0003 0.0005 0.0007 0.0007 0.0009 0.0013 0.0010 0.0013 0.0287 0.0281 0.0359 0.0351 0.01 0.02 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.1357 0.1587 0.0019 0.0018 0.0018 0.0026 0.0025 0.0024 0.0023 0.0035 0.0034 0.0033 0.0032 0.0044 0.0043 0.0047 0.0045 0.0040 0.0041 0.0055 0.0054 0.0062 0.0060 0.0059 0.0057 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0107 0.0104 0.0102 0.0099 0.0096 0.0139 0.0136 0.0132 0.0125 0.0179 0.0174 0.0170 0.0166 0.0162 0.0129 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0968 0.0951 0.1151 0.1131 0.1841 0.2119 0.2420 0.0003 0.0003 0.0003 0.0004 0.0006 0.0006 0.0005 0.0005 0.0009 0.0013 0.2743 0.3085 0.3446 0.3821 0.0274 0.0344 0.0336 0.0446 0.0436 0.0427 0.0418 0.0548 0.0537 0.0526 0.0516 0.0668 0.0655 0.0808 0.0793 -Z 0 0.03 0.05 0.06 0.07 0.08 0.04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0003 0.0001 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0006 0.0006 0.0006 0.0008 0.0008 0.0008 0.0012 0.0011 0.0011 0.0011 0.0004 0.0004 0.0005 0.0005 0.0008 0.0007 0.0010 0.1335 0.1562 0.0009 0.0012 0.3409 0.3783 0.0017 0.0016 0.0023 0.0031 0.0268 0.0262 0.0329 0.0409 0.0505 0.0618 0.0749 0.4207 0.4168 0.4129 0.4602 0.4562 0.4522 0.5000 0.4960 0.4920 SOURCE: Probabilities calculated with Excel 0.0643 0.0630 0.0778 0.0764 0.0934 0.0918 0.1112 0.1093 0.1314 0.1292 0.1539 0.1515 0.1492 0.1814 0.1788 0.1762 0.2090 0.2061 0.2033 0.2389 0.2358 0.2327 0.2709 0.2676 0.2643 0.3050 0.3015 0.2981 0.3372 0.3336 0.3745 0.3707 0.4090 0.4483 0.4880 0.1736 0.2005 0.2296 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 P(Z = -2) 0.0016 0.0015 0.0022 0.0021 0.0030 0.0029 0.0039 0.0052 0.0069 0.0094 0.0091 0.0122 0.0119 0.0001 0.0001 0.0158 0.0154 0.0150 0.0197 0.0192 0.0901 0.0885 0.0869 0.1075 0.1056 0.1038 0.1271 0.1251 0.1469 0.0256 0.0322 0.0401 0.0495 0.0606 0.0594 0.0735 0.0721 0.2912 0.3264 0.3632 0.4013 0.4404 0.4801 0.1711 0.1685 0.1977 0.1949 0.2266 0.2236 0.2578 0.2546 0.1230 0.1446 0.0015 0.0014 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0250 0.0244 0.0239 0.0314 0.0307 0.0301 0.0392 0.0384 0.0375 0.0485 0.0475 0.0465 0.0582 0.0571 0.0708 0.0694 0.0853 0.0838 0.0823 0.1020 0.1003 0.0985 0.1210 0.1190 0.1170 0.1423 0.1401 0.1379 0.2877 0.3228 0.3594 0.3974 0.4364 0.4761 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.3936 0.4325 0.4721 0.1660 0.1635 0.1922 0.1894 0.2206 0.2177 0.2514 0.2483 0.2843 0.2810 0.3192 0.3156 0.3557 0.3520 0.09 0.0000 0.0001 0.0001 0.0001 0.0002 0.0002 0.0003 0.0005 0.0007 0.0010 0.3897 0.4286 0.4681 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641
Transcribed Image Text:TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of -2. For example, P(Z <-1.52) = 0.0643. Z -3.9 -3.8 -3.7 -3.6 -3.5 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 0.00 0.0000 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0003 0.0005 0.0007 0.0007 0.0009 0.0013 0.0010 0.0013 0.0287 0.0281 0.0359 0.0351 0.01 0.02 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.1357 0.1587 0.0019 0.0018 0.0018 0.0026 0.0025 0.0024 0.0023 0.0035 0.0034 0.0033 0.0032 0.0044 0.0043 0.0047 0.0045 0.0040 0.0041 0.0055 0.0054 0.0062 0.0060 0.0059 0.0057 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0107 0.0104 0.0102 0.0099 0.0096 0.0139 0.0136 0.0132 0.0125 0.0179 0.0174 0.0170 0.0166 0.0162 0.0129 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0968 0.0951 0.1151 0.1131 0.1841 0.2119 0.2420 0.0003 0.0003 0.0003 0.0004 0.0006 0.0006 0.0005 0.0005 0.0009 0.0013 0.2743 0.3085 0.3446 0.3821 0.0274 0.0344 0.0336 0.0446 0.0436 0.0427 0.0418 0.0548 0.0537 0.0526 0.0516 0.0668 0.0655 0.0808 0.0793 -Z 0 0.03 0.05 0.06 0.07 0.08 0.04 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0003 0.0001 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0006 0.0006 0.0006 0.0008 0.0008 0.0008 0.0012 0.0011 0.0011 0.0011 0.0004 0.0004 0.0005 0.0005 0.0008 0.0007 0.0010 0.1335 0.1562 0.0009 0.0012 0.3409 0.3783 0.0017 0.0016 0.0023 0.0031 0.0268 0.0262 0.0329 0.0409 0.0505 0.0618 0.0749 0.4207 0.4168 0.4129 0.4602 0.4562 0.4522 0.5000 0.4960 0.4920 SOURCE: Probabilities calculated with Excel 0.0643 0.0630 0.0778 0.0764 0.0934 0.0918 0.1112 0.1093 0.1314 0.1292 0.1539 0.1515 0.1492 0.1814 0.1788 0.1762 0.2090 0.2061 0.2033 0.2389 0.2358 0.2327 0.2709 0.2676 0.2643 0.3050 0.3015 0.2981 0.3372 0.3336 0.3745 0.3707 0.4090 0.4483 0.4880 0.1736 0.2005 0.2296 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 P(Z = -2) 0.0016 0.0015 0.0022 0.0021 0.0030 0.0029 0.0039 0.0052 0.0069 0.0094 0.0091 0.0122 0.0119 0.0001 0.0001 0.0158 0.0154 0.0150 0.0197 0.0192 0.0901 0.0885 0.0869 0.1075 0.1056 0.1038 0.1271 0.1251 0.1469 0.0256 0.0322 0.0401 0.0495 0.0606 0.0594 0.0735 0.0721 0.2912 0.3264 0.3632 0.4013 0.4404 0.4801 0.1711 0.1685 0.1977 0.1949 0.2266 0.2236 0.2578 0.2546 0.1230 0.1446 0.0015 0.0014 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0250 0.0244 0.0239 0.0314 0.0307 0.0301 0.0392 0.0384 0.0375 0.0485 0.0475 0.0465 0.0582 0.0571 0.0708 0.0694 0.0853 0.0838 0.0823 0.1020 0.1003 0.0985 0.1210 0.1190 0.1170 0.1423 0.1401 0.1379 0.2877 0.3228 0.3594 0.3974 0.4364 0.4761 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.3936 0.4325 0.4721 0.1660 0.1635 0.1922 0.1894 0.2206 0.2177 0.2514 0.2483 0.2843 0.2810 0.3192 0.3156 0.3557 0.3520 0.09 0.0000 0.0001 0.0001 0.0001 0.0002 0.0002 0.0003 0.0005 0.0007 0.0010 0.3897 0.4286 0.4681 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641
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