Construct a 95% confidence interval for the true mean of city mileage (MPG) of all cars with a manual transmission. Assume that MPG of cars with a manual transmission follows a normal distribution. Also, provide an interpretation of the confidence interval in context.*Note, you can use Excell or Rstudioor any means necessary to solve!Manual 221714191530182222172818222216261829211429181711292018251317271722112222172412302618271128261821122426181823222318241930281821162029162014272516191527252118312622143112251718241226271821212025181722201920172920271914272330172727172318262720241725252123192525232219201823231920182124181719302718221919231322192122143019222529161930191916192126171511172115151120232121181518171917201816212919181720271618192127141927182726192720252521251725281823161815181820 181416 232115 202119 232115 231819 232319 232019 241519

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Description: Construct a 95% confidence interval for the true mean of city mileage (MPG) of all cars with a manual transmission. Assume that MPG of cars with a manual transmission follows a normal distribution. Also, provide an interpretation of the confidence in

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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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Construct a 95% confidence interval for the true mean of city mileage (MPG) of all cars with a manual transmission. Assume that MPG of cars with a manual transmission follows a normal distribution. Also, provide an interpretation of the confidence interval in context.

*Note, you can use Excell or Rstudioor any means necessary to solve!

Manual
22	17	14	19	15
30	18	22	22	17
28	18	22	22	16
26	18	29	21	14
29	18	17	11	29
20	18	25	13	17
27	17	22	11	22
22	17	24	12	30
26	18	27	11	28
26	18	21	12	24
26	18	18	23	22
23	18	24	19	30
28	18	21	16	20
29	16	20	14	27
25	16	19	15	27
25	21	18	31	26
22	14	31	12	25
17	18	24	12	26
27	18	21	21	20
25	18	17	22	20
19	20	17	29	20
27	19	14	27	23
30	17	27	27	17
23	18	26	27	20
24	17	25	25	21
23	19	25	25	23
22	19	20	18	23
23	19	20	18	21
24	18	17	19	30
27	18	22	19	19
23	13	22	19	21
22	14	30	19	22
25	29	16	19	30
19	19	16	19	21
26	17	15	11	17
21	15	15	11	20
23	21	21	18	15
18	17	19	17	20
18	16	21	29	19
18	17	20	27	16
18	19	21	27	14
19	27	18	27	26
19	27	20	25	25
21	25	17	25	28
18	23	16	18	15
18	18	20
18	14	16
23	21	15
20	21	19
23	21	15
23	18	19
23	23	19
23	20	19
24	15	19

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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