Math Paper

Chapter 6 paradox 6: chew over that the existence trite divergence (?) for a normally distributed govern stress of achievement is jockey to be 7.20. What would the prototype fault of the seek pie-eyed ([pic]) be if we were to draw a stochastic sample of 16 interrogation scores? firmness: For this problem, since the population regular expiration is given, we utilize the chemical formula on scamp 193. [pic] =[pic] Therefore: [pic] = [pic] =[pic] = 1.8 trouble 7: Suppose that the random sample from Problem 6 yielded these ascertain scores: 656125101113 121092023202818 a. prevail the 95% boldness separation for the basal. b. Find the 99% arrogance interval for the cogitate. resolving: The first involvement we need to do is add up the mean for these data (we allow for employ the population standard deviation but if we did non know it we would have to channelise that and use the t distribution). employ Excel the mean is 13 (you should insist this value for practice). a. at once the 95% assumption interval is raise using the formula on page 196: 95% assumption interval = [pic] ± 1.96 [pic] so we whence have: 13 ±1.96 (1.8) = 13 ± 3.528 = 9.47 to 16.53 b. Now the 99% confidence interval is name using the formula on page 197: 99% confidence interval = [pic] ± 2.58 [pic] so we then have: 13 ±2.58 (1.8) = 13 ± 4.644 = 8.36 to 17.

64 Problem 8 Now count on that we do not determine desireon assuming that ? = 7.20. using up the scores in Problem 7 to: a. estimate the standard error of the sample mean ([pic]). b. mystify the 95% confidence interval for the mean. c. materialize the 99% confidence interval for the mean. Answer: First we need to find the standard deviation from our sample. I used Excel and show it to be (S = 6.899) but satisfy verify! Now we would support the precedent Error of the mean using the formula on page 202: [pic] =[pic] a. Therefore: [pic] = [pic] =[pic] = 1.78 The habitual formula for the confidence interval is shown on page 205: Confidence...If you want to get a right essay, direct it on our website: Orderessay

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