Eastwood's BA201 Assignments

HOMEWORK #14 KEY

 26.        H_o:  m £ 42        H₁:  m > 42        Reject H_o if t > 1.796

Reject H_o.  The mean time for delivery is more than 42 days.  The p-value is less than 0.005, but greater than 0.0005 

28.        H_o:  m =2.25      H₁:  m ¹ 2.25     Reject H_o if t < -2.201 or t > 2.201

            = 2.087         s = 0.4048

            Do not reject H_o.  There is not a difference in the mean amount of coffee consumed at Northwestern State.

30.        H_o:  m ³ 6.5       H₁:  m < 6.5       Reject H_o if t < -2.718

            = 5.1667       s = 3.1575

Do not reject H_o.

34.        Let 1 = large firm; 2 = small firm            H_o:  m₁ = m₂                   H₁:  m₁ ¹ m₂      
Reject H_o if t < -2.060 or t > 2.060

            Do not reject H_o.  There is no difference in the mean percent of salaries spent by employees on the two health packages.

36.        H_o:  m_n = m_s                   H₁:  m_n ¹ m_s                   Reject H_o if t < -2.086 or t > 2.086

            Do not reject H_o.  There is no difference in the mean number of hamburgers sold at the two locations.

 38.        Let 1 = Sea Hawk; 2 = Sea Queen         H_o:  m₁ = m₂                   H₁:  m₁ ¹ m₂                  
Reject H_o if t > 2.086 or t < -2.086

            =12.17         s₁ = 1.0563        = 14.875      s₂ = 2.2079

            Reject H_o.  There is a difference in the mean race times.

 40.        H_o:  m₁ = m₂                   H₁:  m₁ ¹ m₂                   Reject H_o if t > 1.717 or t < -1.717

            Do not reject H_o.  There is no difference in the mean number of hours for the two treatments.

42.        H_o:  m_d ³ 0                    H₁:  m_d < 0        Reject H_o if t < -2.998

            = -2.5           s_d = 2.928

            Do not reject H_o.  The reduction in the mean number of accidents is not statistically significant at the .01 level.

44.        H_o:  m_d £ 0                    H₁:  m_d > 0        Reject H_o if t > 1.796

            = 0.1908        s_d = 0.3260

            Reject H_o.  The chip reduced the mean processing time.  The p-value is greater than 0.025.

46.        H_o:  m_d = 0                    H₁:  m_d ¹ 0        Reject H_o if t < -1.761 or t > 1.761

            = -247.67                  s_d = 548.04

            Do not reject H_o.  There is no difference in the mean insurance price.

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