The cost of a university education has increased at a much faster rate than costs in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. A random sample of 20 students was selected and the following values were observed: 26 15 10 40 10 20 30 36 40 0 5 10 20 32 16 12 40 36 10 0 The correct null and alternative hypotheses are H0 : µ = 20 and HA : µ > 20. H0 : µ = 20 and HA : µ ­≠ 20. H0 : µ = 20 and HA : µ < 20. H0 : µ > 20 and HA : µ = 20.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The cost of a university education has increased at a much faster rate than costs in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. A random sample of 20 students was selected and the following values were observed:

 

26

15

10

40

10

20

30

36

40

0

5

10

20

32

16

12

40

36

10

0

 

 

 

The correct null and alternative hypotheses are

   

H0 : µ = 20 and HA : µ > 20.

   

H0 : µ = 20 and HA : µ ­≠ 20.

   

H0 : µ = 20 and HA : µ < 20.

   

H0 : µ > 20 and HA : µ = 20.

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