Here are the weights in ounces of the 10 donuts the baker selected. 4.7 3.6 2.5 3.7 4.6 3.6 4.9 3.2 3.2 3.4The sample mean for these data is ?̅ = 3.74 ounces. The dotplot below shows the distribution of the sample mean weight of a donut for 500 random samples of size 10 taken with replacement from the original sample. Export this graph3.5Simulated sample mean of weight of donutsDistribution of Simulated Mean# samples meanSD5003.763 0.2284.5(a) Use the results of the simulation to approximate the margin of error for the estimate ofthe mean weight of the donuts (ounces).(c) Interpret the margin of error.

The following information has been provided: The sample size is n=500. The sample mean is x¯=3.763. The sample standard deviation is S=0.228a.) The formula for margin of error is : MOE=Zc.σn The critical value of z can be computed using the EXCEL formula at α=0.05. Zc=NORM.S.INVprobability =NORM.S.INVα2 =NORM.S.INV0.052 =NORM.S.INV0.025 =1.96 MOE=Zc.σn =1.96 .0.228500 =0.02 The margin of error is 0.02. b.) The margin of error describe the amount of sampling error present in the result. It gives the percentage value which shows the variation in the result that differ from the original population value. According to the above result we interpret that a 95% confidence interval with a 2% margin of error suggests that your statistic will, 95% of the time, be within 2% of the true population value.

Math

Statistics

Distribution of Simulated Mean SD 0.228 # samples 500 mean 3.763 (a) Use the results of the simulation to approximate the margin of error for the estimate of the mean weight of the donuts (ounces). (c) Interpret the margin of error.

Distribution of Simulated Mean SD 0.228 # samples 500 mean 3.763 (a) Use the results of the simulation to approximate the margin of error for the estimate of the mean weight of the donuts (ounces). (c) Interpret the margin of error.

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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