During the winter of 2008-2009, the average utility bill for residents of a certain state was $181 per month. A random sample of 30 customers was selected during the winter of 2009-2010, and the average bill was foune to be $173.51 with a sample standard deviation of $18.91. Complete parts a and b below. a) Using a = 0.05, does this sample provide enough evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009? Determine the hypotheses. O A. Ho: H= 181 and H,: H#181 O B. Ho: µ2 181 and H,:µ< 181 OC. Ho: Hs181 and H,:µ> 181 O D. Ho:H# 181 and H,: u= 181 Determine the critical value(s). The critical yalue(s) is(are) O

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Determine the test statistic, t;.
=ロ
%3D
(Round to two decimal places as needed.)
What conclusion should be drawn?
A. Do not reject Ho. There is sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009.
B. Reject Ho. There is not sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009.
C. Do not reject Ho. There is not sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009.
O D. Reject Ho. There is sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009.
b) Does changing the value of a from 0.05 to 0.01 affect your conclusion? Why or why not?
Click to select your answer(s) and then click Check Answer.
Transcribed Image Text:Determine the test statistic, t;. =ロ %3D (Round to two decimal places as needed.) What conclusion should be drawn? A. Do not reject Ho. There is sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009. B. Reject Ho. There is not sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009. C. Do not reject Ho. There is not sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009. O D. Reject Ho. There is sufficient evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009. b) Does changing the value of a from 0.05 to 0.01 affect your conclusion? Why or why not? Click to select your answer(s) and then click Check Answer.
During the winter of 2008-2009, the average utility bill for residents of a certain state was $181 per month. A random sample of 30 customers was selected during the winter of 2009-2010, and the average bill was found
to be $173.51 with a sample standard deviation of $18.91. Complete parts a and b below.
a) Using a = 0.05, does this sample provide enough evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009?
Determine the hypotheses.
A. Ho: H= 181 and H,: µ + 181
B. Ho: µ2 181 and H,: µ< 181
C. Ho: µs 181 and H1: µ> 181
D. Ho: µ+ 181 and H,: µ = 181
Determine the critical value(s).
The critical value(s) is(are)
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:During the winter of 2008-2009, the average utility bill for residents of a certain state was $181 per month. A random sample of 30 customers was selected during the winter of 2009-2010, and the average bill was found to be $173.51 with a sample standard deviation of $18.91. Complete parts a and b below. a) Using a = 0.05, does this sample provide enough evidence to conclude that the average utility bill in this state was lower in the winter of 2009-2010 than it was in the winter of 2008-2009? Determine the hypotheses. A. Ho: H= 181 and H,: µ + 181 B. Ho: µ2 181 and H,: µ< 181 C. Ho: µs 181 and H1: µ> 181 D. Ho: µ+ 181 and H,: µ = 181 Determine the critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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