The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through 14271226983(c) below.692720836727747550Assume the population is normally distributed.6211449946(a) Find the sample mean.x=D (Round to one decimal place as needed.)x%3D(b) Find the sample standard deviation.(Round to one decimal place as needed.)S=(c) Construct a 95% confidence interval for the population mean u.A 95% confidence interval for the population mean is ((Round to one decimal place as needed.)

Solution: n=12 sample size xi xi-xbar (xi- xbar)^2 1427 516.7 266978.9 692 -218.3 47654.89 727 -183.3 33598.89 621 -289.3 83694.49 1226 315.7 99666.49 720 -190.3 36214.09 747 -163.3 26666.89 1449 538.7 290197.7 983 72.7 5285.29 836 -74.3 5520.49 550 -360.3 129816.1 946 35.7 1274.49 ∑xi=10924 a) To find sample mean x=∑xin=1092412=910.3333x=910.3 b) To sample standard deviations s ∑(xi-x)2=1026569 s=∑(xi-x)2n-1s=102656911s=93324.42s= 305.4905s= 305.5 c) The 95% confidence interval for population mean is x±tα/2,n-1×snAt α=0.05tα/2,n-1=t0.025,11=2.201 From t table(910.3±2.201×305.512)(910.3±2.201×305.53.4641016)(910.3±2.201×88.190254)(910.3±194.10674)(716.1932, 1104.4067)(716.2, 1104.4) The 95% confidence interval for population mean is ( 716.2, 1104.4)

Math

Statistics

he state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through 14 ) below. 69 72 ssume the population is normally distributed. 62 Find the sample mean. (Round to one decimal place as needed.) O Find the sample standard deviation. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean u. 95% confidence interval for the population mean is (O). ound to one decimal place as needed.)

he state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through 14 ) below. 69 72 ssume the population is normally distributed. 62 Find the sample mean. (Round to one decimal place as needed.) O Find the sample standard deviation. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean u. 95% confidence interval for the population mean is (O). ound to one decimal place as needed.)

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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