Student IDMath ScoreProject ScoreAge (years)Sex001254527515M003256788915F001547928218F012589916617M021475729314M032658467613M009561687614F008654528212F008561837516M003547457814F047452739614M041212647913F032320416713F000258777215F001478827517M019521598315M017451807117F016335487613M002474578014F095844977118F09730486 8617M090024758515F034702818016F001910677414F006454867717M087478638213M078474687914F000977548912M063010917318M007406467715F025740938517M055401607015MConstruct and interpret the 90% and 99% confidence intervals for the population mean math contest score. After the intervals and interpretations are given, explain why one is wider/longer than the other.

The formula for the confidence interval for the population mean is given by : C.I = x ± zα/2.sn x -…

Answered: Student ID Math Score Project Score…

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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Student ID	Math Score	Project Score	Age (years)	Sex
001254	52	75	15	M
003256	78	89	15	F
001547	92	82	18	F
012589	91	66	17	M
021475	72	93	14	M
032658	46	76	13	M
009561	68	76	14	F
008654	52	82	12	F
008561	83	75	16	M
003547	45	78	14	F
047452	73	96	14	M
041212	64	79	13	F
032320	41	67	13	F
000258	77	72	15	F
001478	82	75	17	M
019521	59	83	15	M
017451	80	71	17	F
016335	48	76	13	M
002474	57	80	14	F
095844	97	71	18	F
097304	86	86	17	M
090024	75	85	15	F
034702	81	80	16	F
001910	67	74	14	F
006454	86	77	17	M
087478	63	82	13	M
078474	68	79	14	F
000977	54	89	12	M
063010	91	73	18	M
007406	46	77	15	F
025740	93	85	17	M
055401	60	70	15	M

Construct and interpret the 90% and 99% confidence intervals for the population mean math contest score. After the intervals and interpretations are given, explain why one is wider/longer than the other.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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