6.06* From a random sample of n Canadians, 30% support the Liberal Party. The 95% confidence interval (0.238,0.362) is obtained for the true proportion of Canadians who support the Liberal Party. Determine n.

A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year. The following table shows the legislator's performance from the same ten randomly selected voters for last year and this year. Use this data to find the 98% confidence interval for the true difference between the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year. Rating (last year) 51 49 78 47 69 84 43 72 88 85 Rating (this year) 68 78 86 71 88 72 59 70 75 80 Step 2 of 4 :Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places. Please highlight the answer

In a survey of 40 students in an introductory statistics class, a professor asks how many states in the United States each student has visited. Using the data from the professor's sample, a 99% confidence interval for the average number of states all students at the professor's school have visited is found to be (6.78, 12.18). Determine whether each of the following statements is valid or invalid. You may assume that the sample is representative of all students at the professor's school. (a)  We are 99% confident that the average number of states visited by the 40 students the professor surveyed is between 6.78 and 12.18.  Valid Invalid   (b)  Based on the 99% confidence interval, there is evidence that the average number of states visited by all students at the professor's school is different from 16.  Valid Invalid   (c)  We are 99% confident that the average number of states visited by all students at the professor's school is between 6.78 and 12.18.  Valid Invalid   (d)…

5.A random sample of 362 married couples found that 286 had two or more personality preferences in common. In another random sample of 550 married couples, it was found that only 30 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. Find a 90% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit       upper limit