Show that the chi-square test statistic is χ 2 = ∑ i = 1 I ∑ j = 1 J ( N i j 2 E ^ i j ) − n . Explain its computational efficiency.

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Chapter 14.3, Problem 33E

To determine

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

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Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?

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Answer 2

Question

Chapter 14.3, Problem 33E

To determine

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 14.3, Problem 33E

To determine

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Chapter 14.3, Problem 33E

To determine

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 14.3, Problem 33E

To determine

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

Answer 6

Chapter 14.3, Problem 33E

To determine

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

Answer 7

Chapter 14.3, Problem 33E

To determine

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

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Show that the chi-square test statistic is χ 2 = ∑ i = 1 I ∑ j = 1 J ( N i j 2 E ^ i j ) − n . Explain its computational efficiency.

Solution Summary: The author explains the chi-square test statistic and its computational efficiency.

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Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.

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Chapter 14 Solutions

Show that the chi-square test statistic is χ 2 = ∑ i = 1 I ∑ j = 1 J ( N i j 2 E ^ i j ) − n . Explain its computational efficiency.

Solution Summary: The author explains the chi-square test statistic and its computational efficiency.

Concept explainers

Videos

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n. Explain its computational efficiency.

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Chapter 14 Solutions

Show that the chi-square test statistic is χ2=∑i=1I∑j=1J(Nij2E^ij)−n.

Explain its computational efficiency.