Shaking tests are conducted against a reinforced concrete in a lab environment. Previous measurements indicate that the simeframe a reinforced conerete can withstand a severe eartquake follows a Normal distribution with a standard devation of 7 seconds. You decide to come up with an alternative hypothesis that a7 and conduet 23 shaking tests to test your hypothesis. The sample standard deviation is found to be s=4.72 seconds. Answer the following Cick here to view caos 1 of the Chi-Souare Critical Values Table Ciek here to vew gage 2 of the Chi-Souare Critiea Vves Tanle (a) Decide on your null and alternative hypotheses and fil in the blank. (Type integers.) OA He OB. Hs - OD. He o= H e OC. He > (b) ldensify the entical value(s) of your test for a significance level of 0.05. (Round to two decimal places including any zeros.) OA OB. r Oc ror (e) On the other hand, the value of the test can be computed as (Round to two decimal places including any zeros.) O A. Based on the calculated value, we reject Hg and conclude that there is not adequate evidence for a<7 at the 0.05 level. OB. Based on the caloulated value. we reject Ho and conclude that there is adequate evidence for e<7 at the 0.05 level. OC. Based on the caloulated value, we fail to reject Hg and conclude that there isadequate evidence for a<7 at the 0.05 level OD. Based on the caloulated value, we fail to reject H, and conclude that there is not adequate evidence for e<7 at the 0.05 level.

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Shaking tests are conducted against a reinforced concrete in a lab environment. Previous measurements indicate that the timeframe a reinforced concrete can withstand a severe eartquake follows a Normal distribution with a standard devation of 7 seconds. You decide to come up with an
alternative hypothesis that o< 7 and conduct 23 shaking tests to test your hypothesis. The sample standard deviation is found to be s= 4.72 seconds. Answer the following.
Click here to view page 1 of the Chi-Square Critical Values Table.
Click here to view page 2 of the Chi-Square Critical Values Table.
(a) Decide on your null and alternative hypotheses and fill in the blank. (Type integers.)
Hp: g2 -
H;: a2 >
OD. Ho: 2 =
OA.
Hp: 02.
OB.
H;: o2 =
Oc.
Ho: a? >
H,: o2 =
H,: 02 <
(b) Identify the critical value(s) of your test for a significance level of 0.05. (Round to two decimal places including any zeros.)
O A. x? >
O B. y? <
O. < or x2>
(c) On the other hand, the x value of the test can be computed as. (Round to two decimal places including any zeros.)
O A. Based on the calculated value, we reject Ho and conclude that there is not adequate evidence for a<7 at the 0.05 level.
O B. Based on the calculated value, we reject Hn and conclude that there is adequate evidence for o <7 at the 0.05 level.
OC. Based on the calculated value, we fail to reject H, and conclude that there isadequate evidence for o<7 at the 0.05 level.
O D. Based on the calculated value, we fail to reject H, and conclude that there is not adequate evidence for o<7 at the 0.05 level.
Transcribed Image Text:Shaking tests are conducted against a reinforced concrete in a lab environment. Previous measurements indicate that the timeframe a reinforced concrete can withstand a severe eartquake follows a Normal distribution with a standard devation of 7 seconds. You decide to come up with an alternative hypothesis that o< 7 and conduct 23 shaking tests to test your hypothesis. The sample standard deviation is found to be s= 4.72 seconds. Answer the following. Click here to view page 1 of the Chi-Square Critical Values Table. Click here to view page 2 of the Chi-Square Critical Values Table. (a) Decide on your null and alternative hypotheses and fill in the blank. (Type integers.) Hp: g2 - H;: a2 > OD. Ho: 2 = OA. Hp: 02. OB. H;: o2 = Oc. Ho: a? > H,: o2 = H,: 02 < (b) Identify the critical value(s) of your test for a significance level of 0.05. (Round to two decimal places including any zeros.) O A. x? > O B. y? < O. < or x2> (c) On the other hand, the x value of the test can be computed as. (Round to two decimal places including any zeros.) O A. Based on the calculated value, we reject Ho and conclude that there is not adequate evidence for a<7 at the 0.05 level. O B. Based on the calculated value, we reject Hn and conclude that there is adequate evidence for o <7 at the 0.05 level. OC. Based on the calculated value, we fail to reject H, and conclude that there isadequate evidence for o<7 at the 0.05 level. O D. Based on the calculated value, we fail to reject H, and conclude that there is not adequate evidence for o<7 at the 0.05 level.
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