A simple experiment with a random sample of 10 mathematics students were found to have the following heights (in cm). 155, 185, 175, 175, 173, 170, 169, 164, 161, 185 Assume the heights of mathematics students are independently and normally distributed X ~ N(0,0²) with a known variance of o² =99.12 cm². (a) Calculate a point estimate of the mean height 0 and a probability that this estimate is exactly equals to the true value of 0. (b) Compute the standard error, ơ/\n of the sample mean by using given variance. Estimate an equal-tailed 90% confidence interval for 0 by using the sample mean and its standard error. (c) (d) Calculate an equal-tailed 50% confidence interval for 0.
A simple experiment with a random sample of 10 mathematics students were found to have the following heights (in cm). 155, 185, 175, 175, 173, 170, 169, 164, 161, 185 Assume the heights of mathematics students are independently and normally distributed X ~ N(0,0²) with a known variance of o² =99.12 cm². (a) Calculate a point estimate of the mean height 0 and a probability that this estimate is exactly equals to the true value of 0. (b) Compute the standard error, ơ/\n of the sample mean by using given variance. Estimate an equal-tailed 90% confidence interval for 0 by using the sample mean and its standard error. (c) (d) Calculate an equal-tailed 50% confidence interval for 0.
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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Transcribed Image Text:A simple experiment with a random sample of 10 mathematics students were
found to have the following heights (in cm).
155, 185, 175, 175, 173, 170, 169, 164, 161, 185
Assume the heights of mathematics students are independently and normally
distributed X ~ N(0,0²) with a known variance of o² =99.12 cm².
(a)
Calculate a point estimate of the mean height 0 and a probability that this
estimate is exactly equals to the true value of 0.
(b)
Compute the standard error, ơ/\n of the sample mean by using given
variance.
Estimate an equal-tailed 90% confidence interval for 0 by using the
sample mean and its standard error.
(c)
(d)
Calculate an equal-tailed 50% confidence interval for 0.
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