A state legislator wants to determine whether her performance rating (0-100) has changed from last year to this year. The following table shows the legislator's performance rating from the same 8 randomly selected votes for last year and this year. At o = 0.01, is there enough evidence to conclude that the legislator's performance rating has changed? Voter 12 3 78 | 84 70 | 60 | 85 6 Rating(last year) Rating(this year) 60 54 91 25 30 65 56 48 40 40 55

In 2001, the polls found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. Assume a recent poll asked 1160 American adults if they believe there was a conspiracy in the assassination and it found that 897 believe there was a conspiracy. Does the data show that the proportion of Americans who believe in this conspiracy is now lower? Test at the 9% level.      What is the correct parameter symbol for this problem?  What is the wording of the parameter in the context of this problem? Fill in the correct null and alternative hypotheses:

Find tests statitic and p-score.

Here is a sample of amounts of weight change (kg) of college students in their freshman year: 13, 7, -3, -5, where -5 represents a loss of 5 kg and positive values represent weight gained. Here are ten bootstrap samples: {13, 13, 13, -3), (13, -5, -3, 13}, {13, 5, 7, 3), (7, 5, 3, 13), {-3, -3, -3, 7}, {7, 5, 7, 5), (13, 7, 5, 3}, {-5, 7, 5, 7), {-5, -3, -5, 7}, {7, 13, 13, 13). Complete parts (a) and (b) below. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. (Round to one decimal place as needed.)

A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of 10 words that were on the original list. Students were also asked to provide their GPAs.   Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for five intervals of scores on the number of correctly identified words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages. Score Interval f Proportion Percentage 9–10 29 0.19 19% 7–8 53           5–6 50           3–4 22 0.14 14% 1–2 1 0.01 1%

In a statistics class, 10 scores were randomly selected, and the following results were obtained: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66 What is the 90thpercentile? What is the first quartile (or 25thpercentile)? What is the third quartile (or 75thpercentile)?

Determine the sample proportion of each gender that considers talking too much to be a relationship dealbreaker.                                  Pm =___                                                     PF=___                                                        (Round to three decimal places as needed.)

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.   A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics. Group n x¯ s A 30 48 7 B 30 51 8 C 30 54 10 The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t-tests will be conducted, each at the significance level of α=0.05.

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