The standard deviation of the fuel consumption of a certain car is hypothesized to be equal to 1.72 kilometer per liter. A sample of 20 cars produced a standard deviation of 1.04 kilometer per liter.  Is the standard deviation really less than previously thought? Use α=0.10

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The standard deviation of the fuel consumption of a certain car is hypothesized to be equal to 1.72 kilometer per liter. A sample of 20 cars produced a standard deviation of 1.04 kilometer per liter.  Is the standard deviation really less than previously thought? Use α=0.10 

 

 

4. Decision Rule
Reject the Null Hypothesis if x^2 < 11.651
Reject the Null Hypothesis if x^2 <12.443
Reject the Null Hypothesis if x^2 < 27.204
Reject the Null Hypothesis if x^2 < 28.412
5. Test Statistics *
O x^2 = 2.61
x^2 = 4.38
x^2 = -6.5
Ox^2 = 6.5
6. Decision *
Reject Ho and Accept Ha
Accept Ho and Reject Ha
Transcribed Image Text:4. Decision Rule Reject the Null Hypothesis if x^2 < 11.651 Reject the Null Hypothesis if x^2 <12.443 Reject the Null Hypothesis if x^2 < 27.204 Reject the Null Hypothesis if x^2 < 28.412 5. Test Statistics * O x^2 = 2.61 x^2 = 4.38 x^2 = -6.5 Ox^2 = 6.5 6. Decision * Reject Ho and Accept Ha Accept Ho and Reject Ha
1. State the alternative hypothesis *
Ha: o> 1.72
Ha: 0 < 1.72
Ha: o # 1.72
2. Level of Significance *
a = 0.1
a = 0.01
a = 0.001
O B = 0.01
3. Critical Value/s and Rejection Region/s *
cv =11.651
cv = 12.443
cv = 27.204
cv = 28.412
Transcribed Image Text:1. State the alternative hypothesis * Ha: o> 1.72 Ha: 0 < 1.72 Ha: o # 1.72 2. Level of Significance * a = 0.1 a = 0.01 a = 0.001 O B = 0.01 3. Critical Value/s and Rejection Region/s * cv =11.651 cv = 12.443 cv = 27.204 cv = 28.412
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