Given below are the sodium contents (in mg) for seven brands of hot dogs rated as "very good." 460 430 390 330 220 570 510 (a) Use the given data to produce a point estimate of ?, the true mean sodium content for hot dogs. (b) Use the given data to produce a point estimate of ?, the standard deviation of sodium content for hot dogs. Is the statistic you used to produce your estimate of ? unbiased? (Hint: See the discussion following Example 9.3.) (c) Find the values of the critical value of the t distribution to compute the 98% confidence interval of sodium content. (d)
Given below are the sodium contents (in mg) for seven brands of hot dogs rated as "very good." 460 430 390 330 220 570 510 (a) Use the given data to produce a point estimate of ?, the true mean sodium content for hot dogs. (b) Use the given data to produce a point estimate of ?, the standard deviation of sodium content for hot dogs. Is the statistic you used to produce your estimate of ? unbiased? (Hint: See the discussion following Example 9.3.) (c) Find the values of the critical value of the t distribution to compute the 98% confidence interval of sodium content. (d)
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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Given below are the sodium contents (in mg) for seven brands of hot dogs rated as "very good."
460 430 390 330 220 570 510
(a)
Use the given data to produce a point estimate of ?, the true mean sodium content for hot dogs.
(b)
Use the given data to produce a point estimate of ?, the standard deviation of sodium content for hot dogs. Is the statistic you used to produce your estimate of ? unbiased? (Hint: See the discussion following Example 9.3.)
(c)
Find the values of the critical value of the t distribution to compute the 98% confidence interval of sodium content.
(d)
Compute the 98% confidence interval for the sodium content of hot dogs.
(a)Use the given data to produce a point estimate of ?, the true mean sodium content for hot dogs.
A point estimate for the true mean sodium content for hot dogs (in mg), rounded to four decimal places, is
? ≈ x = mg.
(round to 4 decimals)x
is statistic for the mean
\mu
.
(b)Use the given data to produce a point estimate of ?, the standard deviation of sodium content for hot dogs.
| ? ≈ s | = |
|
||||||||||
|
|
||||||||||||
| = |
s
is statistic for the standard deviation
\sigma
(c)Compute the critical value for the t-distribution corresponding to a 98% confidence interval:
Since n=7, df= . The t-critical is: (round to 4 decimals).
(d)Compute the 98% confidence interval for the true mean sodium content for hot dogs: (round all entries to 4 decimals)
? ≈ x± (tcritical)·
|
= | ±
|
||||||||
|
|
||||||||||
| = | ( , ) |
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