11. The producer of a weight-loss pill advertises that people who use the pill lost ands with a standard deviation of e people lost a mean of 1.92 pounds after one week. If the producer's claim is correct, what is the probability that the mean we e week on this pill for a random sample of 60 individuals Carry your intermediate computations to at least fou sample values drawn from a population. plots. (Note that all of the sca made up of 4.0 6.0 50 80 5:0 8.0 6.0 5.3 7.0 42 3 8.0 7.1 10.0 79 Figur 3.0 3.0 20 4.0 60 60 70 70 10.0 7.8 Figure 3 10.0 10.0 Figure 4 Answer the following questions. The same response may be the correct answer for more than one quest a) Which data set indicates a perfect negative linear relationship between its two (Choose one) b) Which data set indicates the strongest onship between its [Choose one) none of the data sets chewhich data set is there evidence of a strong nonline nship between [Choose one ) " between its two variables ? (Choose one) 13. A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 13. The the true mean 1Q score for all children of this group. Then give it's lower Time an under score is 98. Based on this sample, find a 99% confidence interval for oup. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower Marat: decimal places. P(rs 1.58) - 0 answer to at least three decimal places, as a subsection designed to assess the "honesty" of the test-ta to do a statistical test. you choose a random and that the standard deviation of their scores is 28. people and have them take the personality test. You find that the I is less than 142. You decide Based on this information, complete the parts below. (a) what are the null hypothesis Ho and the alter H :0 (b) Suppose that you decide not to reject the null hypothe (Choose one) |Type () Su Type I error A Type I err when, In fact. ( Is (Choose one) d be (choose one) |the hypothesis that it Is [(Choose one) choose one ) less than or equal to qual to 142 less than 28 greater than or equal to equal to less than 142 greater than 142 . The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0025. The hypothesis test to there was one see if there is support for the actuaries' claim. State the null hypothesis H and the alternative mymother's H. that we would was for this Before changes to its management staff, an autom on time of 14.8 minutes. The standard deviation minutes To test this claim , a random sample of 17 Comita tus yst. The sample had a menorman minutes. Assume that the population is normally distributed. Can we su time under new management is less than 14.8 minutes? Assume that the population standard deviation of completion times has not changed under new Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (a) state the null hypothesis Ho and the alternative hypothesis H1. HQ :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) Chi-square posters of freedom: Degrees of freedom: (