For Section 12. 1: Introduction to Chi Squared 12.1. Each member of a class of 50 students is given a piece of the same metal (or what is said to be the same metal) and told to find its density p. From the 50 results, the mean p and standard deviation o, are calculated, and the class decides to test whether the results are normally distributed. To this end, the measurements are grouped into four bins with boundaries at p o, P, and p+ a, and the results are shown in Table 12.10. Table 12.10. Observed densities of 50 pieces of metal arranged in four bins; for Problem 12.1. Observed number O Bin number k Range of bin less than p- a between p o, and p between p and p+ op 12 13 11 14 more than p + o 123 Problems for Chapter 12 Assuming the measurements were normally distributed, with center p and width , calculate the expected number of measurements Eg in each bin. Hence, calculate x. Do the measurements seem to be normally distributed? Problem 4 13 on. 10
For Section 12. 1: Introduction to Chi Squared 12.1. Each member of a class of 50 students is given a piece of the same metal (or what is said to be the same metal) and told to find its density p. From the 50 results, the mean p and standard deviation o, are calculated, and the class decides to test whether the results are normally distributed. To this end, the measurements are grouped into four bins with boundaries at p o, P, and p+ a, and the results are shown in Table 12.10. Table 12.10. Observed densities of 50 pieces of metal arranged in four bins; for Problem 12.1. Observed number O Bin number k Range of bin less than p- a between p o, and p between p and p+ op 12 13 11 14 more than p + o 123 Problems for Chapter 12 Assuming the measurements were normally distributed, with center p and width , calculate the expected number of measurements Eg in each bin. Hence, calculate x. Do the measurements seem to be normally distributed? Problem 4 13 on. 10
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Transcribed Image Text:For Section 12. 1: Introduction to Chi Squared
12.1. Each member of a class of 50 students is given a piece of the same metal
(or what is said to be the same metal) and told to find its density p. From the 50
results, the mean p and standard deviation o, are calculated, and the class decides
to test whether the results are normally distributed. To this end, the measurements
are grouped into four bins with boundaries at p o, P, and p+ a, and the
results are shown in Table 12.10.
Table 12.10. Observed densities of 50 pieces of metal
arranged in four bins; for Problem 12.1.
Observed number O
Bin number k
Range of bin
less than p- a
between p o, and p
between p and p+ op
12
13
11
14
more than p + o
123
Transcribed Image Text:Problems for Chapter 12
Assuming the measurements were normally distributed, with center p and width
, calculate the expected number of measurements Eg in each bin. Hence, calculate
x. Do the measurements seem to be normally distributed?
Problem 4 13 on.
10
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