BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that µu is different from 3200 hours and decide to do a statistical test...


BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that µu is different from 3200<br>hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this<br>sample is 3000 hours and that the sample standard deviation of the lifetimes is 600 hours.<br>Based on this information, complete the parts below.<br>(a)<br>What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test?<br>H, :0<br>O<O<br>OSO<br>H :0<br>O=0<br>(b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making?<br>(Choose one) ▼<br>(c)<br>Suppose the true mean lifetime of BIG's light bulbs is 2980 hours. Fill in the blanks to describe a Type II error.<br>A Type II error would be (Choose one)<br>the hypothesis that u is (Choose one)<br>(Choose one) v when, in fact, u is (Choose one)<br>less than<br>less than or equal to<br>greater than<br>greater than or equal to<br>not equal to<br>equal to<br>Ix<br>

Extracted text: BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that µu is different from 3200 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3000 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 O
1<br>) Suppose the true mear<br>A Type II error would<br>(Choose one)<br>3200<br>600<br>3000<br>Suppose that we<br>wh<br>|(Choose one)<br>Type I<br>SType II<br>che equal to 600<br>equal to 3000<br>lifetime of BIG's light<br>prt of<br>equal to 3200<br>e (Choose one)<br>not equal to 3200<br>BIG<br>less than 600<br>purs. n,<br>rejecting<br>that |<br>failing to reject<br>one greater than 3000<br>u is (Choose one)<br>

Extracted text: 1 ) Suppose the true mear A Type II error would (Choose one) 3200 600 3000 Suppose that we wh |(Choose one) Type I SType II che equal to 600 equal to 3000 lifetime of BIG's light prt of equal to 3200 e (Choose one) not equal to 3200 BIG less than 600 purs. n, rejecting that | failing to reject one greater than 3000 u is (Choose one)

Jun 09, 2022
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