There appears to be some evidence suggesting that earlier retirement may lead to memory decline (Rohwedder & Willis, 2010). The researchers gave a memory test to men and women aged 60 to 64 years in several countries that have different retirement ages. For each country, the researchers recorded the average memory score and the percentage of individuals in the 60-64 range who were retired. Note that a higher percentage retired indicates a younger retirement age for that country. The following data are similar to the results from the study. Use the data to find the regression equation for predicting memory scores from the percentage of people aged 60 to 64 who are retired. Country % Retired Memory Score (X) (Y) Sweden 39 9.3 U.S.A. 48 10.9 England 59 10.7 Germany 70 9.1 Spain 74 6.4 Netherlands 78 9.1 Italy 81 7.2 France 87 7.9 Belgium 88 8.5 Austria 91 9.0

The following table is from a publication. The individuals in the following table have an eye irritation, a nose irritation, or a throat irritation. They have only one of the three. Is there sufficient evidence to reject the hypothesis that the type of ear, nose, or throat irritation is independent of the age group at a level of significance equal to 0.05?   Age (years) Type of Irritation         18-29     30-44     45-64     65 and Older Eye 422 560 340   54 Nose 932 1324 802 101 Throat 247 309 142  24 (a) Find the test statistic. (Round your answer to two decimal places.)(ii) Find the p-value. (Round your answer to four decimal places.)(b) State the appropriate conclusion. Reject the null hypothesis. There is not significant evidence that this sample contradicts the claim of independence.Reject the null hypothesis. There is significant evidence that this sample contradicts the claim of independence.    Fail to reject the null hypothesis. There is not significant…

The following is based on information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females. One theory is that male wolves tend to return sooner than females to their old territories, where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P 0.5 O Ho: P = 0.5; H₁: p 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round…

A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table.   The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5. No, the smallest expected count is…

These 2 questions go hand to hand

A beer store wanted to test the difference on drinking habits if a younger group of 21-30 years old (n=8) to an older group of 50 to 60 years old (n=10). The store took a survey of beers per year each person had in both groups and found the following data:  21-30 group  50-60 group 50        35 17        64 25        39 88          75 53         61 62        89 36        45 29        35          29          78 State the hypotheses of the study.b. Find the critical t value for this study at an alpha level at α=.05.c. Compute the independent t testd. If significant, perform a percentage of variance test.e. State the results in APA format (numbers and words) and don’t forget to include all parts in the sentence and the direction of the results.

A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers   Admitted strangers into their home  Didnot admit strangers into their home  Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable  Is this a directional or non directional

A group of people use an app to track their work outs in the gym everyday. The workouts can be categorized as Strenuous, Moderate, or Light. When the data from the app was reviewed, the following observation was made: Of the people who work out strenuously on a particular day, 40% will work out strenuously the next day and 60% will work out moderately. Of the people who work out moderately on a particular day, 50% will work out strenuously the next day and 50% will work out lightly. Of the people working out lightly on a particular day, 30% will work out strenuously on the next day, 20% will work out moderately, and 50% lightly. (a) Set up the 3 x 3 transition matrix with rows and columns labelled S , M, and L. (b) Suppose that on a particular Monday, 80% work out strenuously, 10% moderately, and 10% lightly. What will the distribution be on Wednesday? (You can use a calculator for the matrix multiplication.) (c) Find the stable distribution algebraically.

A samll town installed a Blue streetlights, in part, to help reduce crime in particular areas. The city collected the number of property crimes along nine randomly selected streets in the month before and after the Blue light installation, and claims that crime has been reduced.The number of crime data is shown in the table. No before Blue Light After Blue Light 1 17 14 2 25 20 3 10 14 4 14 12 5 16 8 6 34 35 7 32 27 8 21 18 9 14 12 a. Specify the competing hypotheses to test the s,all town's claim.b. Calculate the value of the relevant test statistic and find the critical value at the 5% significance level.c. Does the evidence support the small town's claim at the 5% significance level?