Using the provided data and R, do a test to determine whether the average number of residents in the census tracts is 1,000 for the year 2016. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years. POP2016: 2845, 2054, 3988, 2662, 3276, 3676, 4386, 3959, 8161, 4579, 2594, 3060, 4656, 4585, 2449, 2611, 2373, 4562, 4148, 7165, 5752, 6770, 3717, 3586, 4010, 4957, 2436, 3116, 9663, 5205, 5508, 5837, 4271, 4080, 5831, 3452, 4006, 1955, 1988, 1821, 5241, 5243, 6293, 4681, 5888, 5132, 4469, 3946, 3111, 3410, 1588, 5714, 4846, 4094, 3822, 3336, 4397, 4351, 5092, 4455, 3232, 3816, 3528, 4084, 2799, 3803, 3817, 2683, 6324, 3962, 3914, 3567, 6413, 6602, 3597, 3218, 5365, 4518, 2751, 6605, 3301, 3327, 3186, 3247, 2680, 2611, 4329, 3980, 5511, 1526, 6756, 3411, 1984, 3572, 2124, 2457, 4607, 4048, 4738, 3092, 5262, 1750, 2574, 3031, 6035, 3926, 3239, 1790, 3638, 3279, 1847, 4706, 6170, 3855, 3742, 3874, 2303, 3489, 1508, 2700, 2637, 3192, 2988, 5484, 5125, 4620, 4218, 2809, 2641, 2821, 2899, 4538, 1313, 4573, 4114, 3126, 6421, 4268, 4236, 4918, 5233, 4249, 5890, 3620, 4063, 4220, 1998, 3212, 3222, 3661, 2324, 7001, 5340, 3374, 5952, 3492, 3347, 5395, 2646, 2502, 6262, 3958, 4877, 4275, 3322, 5956, 3098, 3331, 2844, 3074, 3337, 2450, 3171, 4025, 6714, 4188, 4718, 3721, 4286, 6453, 5509, 6169, 4784, 4258, 3359, 3241, 3938, 2270, 4937, 5282, 4308, 3924, 2265, 3699, 5682, 4585, 5541, 3311, 3979, 5758, 5100, 3517, 3722, 3895, 4293, 5036, 6854, 2409, 13823, 3658, 2003, 3464, 5832, 5918, 6668, 5744, 4214, 4340

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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Using the provided data and R, do a test to determine whether the average number of residents in the census tracts is 1,000 for the year 2016. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years.

POP2016: 2845, 2054, 3988, 2662, 3276, 3676, 4386, 3959, 8161, 4579, 2594, 3060, 4656, 4585,

2449, 2611, 2373, 4562, 4148, 7165, 5752, 6770, 3717, 3586, 4010, 4957, 2436, 3116, 9663, 5205,

5508, 5837, 4271, 4080, 5831, 3452, 4006, 1955, 1988, 1821, 5241, 5243, 6293, 4681, 5888, 5132,

4469, 3946, 3111, 3410, 1588, 5714, 4846, 4094, 3822, 3336, 4397, 4351, 5092, 4455, 3232, 3816,

3528, 4084, 2799, 3803, 3817, 2683, 6324, 3962, 3914, 3567, 6413, 6602, 3597, 3218, 5365, 4518,

2751, 6605, 3301, 3327, 3186, 3247, 2680, 2611, 4329, 3980, 5511, 1526, 6756, 3411, 1984, 3572,

2124, 2457, 4607, 4048, 4738, 3092, 5262, 1750, 2574, 3031, 6035, 3926, 3239, 1790, 3638, 3279,

1847, 4706, 6170, 3855, 3742, 3874, 2303, 3489, 1508, 2700, 2637, 3192, 2988, 5484, 5125, 4620,

4218, 2809, 2641, 2821, 2899, 4538, 1313, 4573, 4114, 3126, 6421, 4268, 4236, 4918, 5233, 4249,

5890, 3620, 4063, 4220, 1998, 3212, 3222, 3661, 2324, 7001, 5340, 3374, 5952, 3492, 3347, 5395,

2646, 2502, 6262, 3958, 4877, 4275, 3322, 5956, 3098, 3331, 2844, 3074, 3337, 2450, 3171, 4025,

6714, 4188, 4718, 3721, 4286, 6453, 5509, 6169, 4784, 4258, 3359, 3241, 3938, 2270, 4937, 5282,

4308, 3924, 2265, 3699, 5682, 4585, 5541, 3311, 3979, 5758, 5100, 3517, 3722, 3895, 4293, 5036,

6854, 2409, 13823, 3658, 2003, 3464, 5832, 5918, 6668, 5744, 4214, 4340

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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