trucks were run at temperatures of 40°F and then again at 80°F. The emissions of each truck at the two temperatures are presented in the table below. 40°F 80°F 817 749 -3 H₁: Н 791 755 -2 -1 0 1 Critical value(s): 1.5439 Can you conclude that the mean emissions are higher at 40°F? Use the a = 0.07 level. a. State the null and alternative hypotheses. Ho: μ✓ b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: X d. Find the p-value. 782 744 c. Find the test statistic. 1.4882 X 861 832 0.0832 X 2 3 -3 0 734 663 0 852 861 -1 0 1 2 3 823 785 o 831 852 (If there are two critical values, list both values separated by a comma) -3 -2 -1 808 820 0 1 2 O 801 659 3

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Author:Amos Gilat
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In an experiment to determine the effects of outside temperature on the emissions of diesel trucks, 10
trucks were run at temperatures of 40°F and then again at 80°F. The emissions of each truck at the two
temperatures are presented in the table below.
40°F
80°F
817
749
é
791
755
-2 -1
Can you conclude that the mean emissions are higher at 40°F? Use the a = 0.07 level.
a. State the null and alternative hypotheses.
Ho: V
H: μ ν
b. Find the critical value and sketch the rejection region.
Sketch of Rejection Region:
+ + +
Critical value(s):
1.5439 X
782
744
c. Find the test statistic.
1.4882 X
d. Find the p-value.
0.0832
861
832
AAA
+ +
+ +
-1 0 1 2 3
1 2 3
X
0
734
663
0
852
861
823
785
831
852
(If there are two critical values, list both values separated by a comma)
+ +
-1 0
808
820
+
1
2
801
659
Transcribed Image Text:In an experiment to determine the effects of outside temperature on the emissions of diesel trucks, 10 trucks were run at temperatures of 40°F and then again at 80°F. The emissions of each truck at the two temperatures are presented in the table below. 40°F 80°F 817 749 é 791 755 -2 -1 Can you conclude that the mean emissions are higher at 40°F? Use the a = 0.07 level. a. State the null and alternative hypotheses. Ho: V H: μ ν b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: + + + Critical value(s): 1.5439 X 782 744 c. Find the test statistic. 1.4882 X d. Find the p-value. 0.0832 861 832 AAA + + + + -1 0 1 2 3 1 2 3 X 0 734 663 0 852 861 823 785 831 852 (If there are two critical values, list both values separated by a comma) + + -1 0 808 820 + 1 2 801 659
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