Question 3a. Textbook problem 6.4, for part b of this problem calculate the 85% confidence interval instead of 99%b. Read textbook problem 6.5 but do not do it. Answer the following question. What distribution would you use instead ofthe normal distribution? State the name of the distribution and the number of degrees of freedom. 6.4 The Weight of Rats You wish to estimate the average weight of a pet rat. You obtain 40 rats (eas-ily and cheaply done; keep them, because they make excellent pets), sampled uniformly at random and withreplacement from the pet rat population. The mean weight is 340 grams, with a standard deviation of 75grams.(a) Give a 68% confidence interval for the weight of a pet rat, from this data.(b) Give a 99% confidence interval for the weight of a pet rat, from this data.6.5 The Weight of Mice You wish to estimate the average weight of a mouse. You obtain 10 mice, sampled uniformlyat random and with replacement from the mouse population. Their weights are 21, 23, 27, 19, 17, 18, 20, 15, 17,22 gramsrespectively. Notice there are too few mice to use a normal model.(a) Give an 80% confidence interval for the weight of a mouse, from this data.(b) Give a 95% confidence interval for the weight of a mouse, from this data.

From problem 6.4Let X be the weight of a pet rat.Given that the mean weight is 340 grams and a…

Answered: 6.4 The Weight of Rats You wish to…

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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Question 3

a. Textbook problem 6.4, for part b of this problem calculate the 85% confidence interval instead of 99%
b. Read textbook problem 6.5 but do not do it. Answer the following question. What distribution would you use instead of
the normal distribution? State the name of the distribution and the number of degrees of freedom.

6.4 The Weight of Rats You wish to estimate the average weight of a pet rat. You obtain 40 rats (eas-
ily and cheaply done; keep them, because they make excellent pets), sampled uniformly at random and with
replacement from the pet rat population. The mean weight is 340 grams, with a standard deviation of 75
grams.
(a) Give a 68% confidence interval for the weight of a pet rat, from this data.
(b) Give a 99% confidence interval for the weight of a pet rat, from this data.
6.5 The Weight of Mice You wish to estimate the average weight of a mouse. You obtain 10 mice, sampled uniformly
at random and with replacement from the mouse population. Their weights are 21, 23, 27, 19, 17, 18, 20, 15, 17,22 grams
respectively. Notice there are too few mice to use a normal model.
(a) Give an 80% confidence interval for the weight of a mouse, from this data.
(b) Give a 95% confidence interval for the weight of a mouse, from this data.

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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