question 1

BIG Corporation advertises that its light bulbs have a mean Lifetime, p. of 1900 hours. Suppose we have good reason to believe that p is less than 2900 hours and deckle to do a statistical brit of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 27:40 hours and that the sample standard deviation of the lifetimes is 650 hours. Barked on this information, complete the parts below. () what are the null hypothesis fly and the alternative hypothesis If, that should be used for the best? H. :0 (5) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one] T Type I Type II (c) Suppose the true mean lifetime of BIG's light bulbs is 2720 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) rejecting failing to reject the hypothesis that u is (Choose one) less than less than or equal to greater than greater than or equal to not equal to equal to (Choose one) 2900 650 2740 when, in fact, u is (Choose one) equal to 650 equal to 2900 less than 650 greater than 2740 greater than 2900One personality test available on the World Wide web has a subsection designed to assess the "honesty" of the best-toker You are interested in the mean score. It. among the general population on this subsection. The website reports that is is 1:48, but you have good reason to believe that j is less than 148. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 143 and that the standard deviation of their scores is 20. Based on this information, complete the parts below. (0) What are the null hypothesis H. and the alternative hypothesis I, that should be used for the test? #, :D (b) Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? (Choose one) Type I Type II(C) Suppose the true mean score among the general population on the subsection is 140. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) rejecting failing to reject the hypothesis that u is (Choose one) less than greater than less than or equal to greater than or equal to not equal to (Choose one) Y 143 20 148 when, in fact, u is (Choose one) equal to 20 equal to 148 less than 148 less than 20 greater than 143 greater than 148