To assess the accuracy of a laboratory scale, a standard weight known to weigh 1 gram is repeatedly weighed a total of n times and the mean of the weighings is computed. Suppose the scale readings are Normally distributed, with unknown mean and standard deviation = 0.01 grams. How large should n be so that a 95% confidence interval for the mean to have a margin of error of ± 0.0014? a.196 b.10,000 c.100 d.38,416 Which of the following is an acceptable statement of a null and an alternative hypothesis for testing a hypothesis about a mean? a.H0: = 10 vs. Ha: > 11. b.H0: = 10 vs. Ha: < 11. c.H0: = 10 vs. Ha: 10. d.All of the answer options are correct.

Answered: To assess the accuracy of a laboratory…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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To assess the accuracy of a laboratory scale, a standard weight known to weigh 1 gram is repeatedly weighed a total of n times and the mean of the weighings is computed. Suppose the scale readings are Normally distributed, with unknown mean and standard deviation = 0.01 grams. How large should n be so that a 95% confidence interval for the mean to have a margin of error of ± 0.0014?

a.
196

b.
10,000

c.
100

d.
38,416
1. Which of the following is an acceptable statement of a null and an alternative hypothesis for testing a hypothesis about a mean?
  
  a.
  H₀:  = 10 vs. H_a:  > 11.
  
  b.
  H₀:  = 10 vs. H_a:  < 11.
  
  c.
  H₀:  = 10 vs. H_a:   10.
  
  d.
  All of the answer options are correct.

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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