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Consider the following competing hypotheses and relevant summary statistics: H 0 : = 1 H A : 1Sample 1: 1 = 46.0, = 25.2, and n 1 = 9Sample 2: 2 =...

Consider the following competing hypotheses and relevant summary statistics: H0: = 1HA: ≠ 1Sample 1: 1 = 46.0,  = 25.2, and n1 = 9Sample 2: 2 = 48.1,  = 10.6, and n2 = 7 Assume that the two populations are normally distributed. Use Table 4.

 

a-1.

Calculate the value of the test statistic. (Round your answer to 2 decimal places.)

 

  Test statistic  

 

a-2.

Approximate the p-value.   p-value > 0.200.05 < p-value < 0.100.10 < p-value < 0.200.02 < p-value < 0.05

 

a-3.

Do you reject the null hypothesis at the 10% significance level?   Yes, since the p-value is less than α.No, since the p-value is more than α.Yes, since the p-value is more than α.No, since the p-value is less than α.

  

b-1.

Calculate the critical value at the 10% significance level. (Round your answer to 2 decimal places.)

  

  Critical value  

 

b-2.

Do you reject the null hypothesis at the 10% level?    Yes, since the value of the test statistic is more than the critical value.No, since the value of the test statistic is less than the critical value.Yes, since the value of the test statistic is less than the critical value.No, since the value of the test statistic is more than the critical value.

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We are testing the hypothesis H0:  μ 1... View the full answer

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