Statistics problems:-

(a) determine the test statistic, H, (b) determine the critical value at the o = 0.05 level of significance, and (c) test whether the distributions of the populations are different. X Y Z 13 18 12 18 14 17 11 12 | 13 15A sequence is given: (=) Identify the values of n, n1, n2, and r. (b) Determine the critical values at the a=0.05 level of significance. (c) Conduct a hypothesis test on the randomness of the data. YYYNNYNNYYYNNNYYNYYNNBaseball Hideki Okajima is a relief pitcher for the Boston Red Sox. He throws a two-seam fastball pitch (T) to complement his tremendous split-finger pitch (S). One night, Okajima threw 20 pitches. The following sequence represents the pitches he threw, in order. TTS TS S TTT S TSS TS S S S T S Conduct a runs test for randomness on the data at the a=0.05 significance level. Is there enough evidence to support the hypothesis that Okajima's pitches are not random?On-Time Flights The following data represent the arrival status of Southwest Flight 0426 from Dallas' Love Field to San Antonio International Airport for 14 consecutive flights. Source: U.S. Department of Transportation L O O L LL O O L O O O OL Status is indicated as on time (O) or late (L). A late arrival is defined as a gate arrival that is more than 10 minutes after the scheduled arrival. What can you conclude about the randomness of the arrival status at the a=0.05 level of significance?(a) determine the test statistic, H, (b) determine the critical value at the o = 0.05 level of significance, and (c) test whether the distributions of the populations are different. X Y Z 7 4 4 3 10 7Acid RainIn 2002, the median p level of the rain in Glacier National Park, Montana, was 5.25. A biologist thinks that the acidity of rain has decreased since then. (This would mean that the pH level of the rain has increased.) She obtains a random sample of 15 rain dates in 2011 and obtains the following data: Source: National Atmospheric Deposition Program 5.31 5.19 15.55 5.38 5.37 5.10 5.26 5.20 5.27 5.19 5.27 5.36 5.22 5.28 5.24 Test the hypothesis that the median pH level has increased from 5.25 at the a = 0.05 level of Significance.Births by Day of Week An obstetrician knew that there were more live births during the week than on weekends. She wanted to discover whether the distribution for number of births was the same for each of the 5 days of the week. She randomly selected eight dates for each of the 5 days of the week and obtained the data shown. Source: National Center for Health Statistics. MONDAY TUESDAY |WEDNESDAY THURSDAY FRIDAY 10.456 11,821 11,084 11,171 11.545 10.023 11.944 11.570 11,745 12,321 10.691 11.045 11.348 12.023 11.749 10.283 12,927 11,875 12.433 12,192 10.285 12,577 12,193 12.132 12,422 11,189 11,753 11.593 11,903 11,827 11,198 12,509 11,216 11,233 11,824 11,465 13,521 11,818 12.543 12,543 (a) State the null and alternative hypotheses. (b) The sums of the ranks in each category are as follows: MONDAY TUESDAY WEDNESDAY THURSDAY| FRIDAY Sample size 8 8 8 Sum of ranks 48 226 144 194.5 207.5 Use this information to compute the test statistic. (c) What is the critical value at the a = 0.05 level of significance? (d) State your conclusion. (e) Draw side-by-side boxplots to support your conclusion.Age of the BrideA sociologist feels that the median age at which women marry in Cook County. Illinois, is less than the median age throughout the United States (25.8. obtained from data from the U.S. Census Bureau). Based on a random sample of 20 marriage certificates from the county, she obtains the ages shown in the following table: 31 27 24 30 24 27 32 24 23 22 25 23 28 22 28 21 30 25 24 27 Do the data support the sociologist's feelings at the a = 0.05 level of significance?Teacher Salaries The median salary of a teacher in Illinois is $57,283 according to TeacherSalaryInfo.com. The state of Illinois is experiencing serious budget issues in its educational institutions. A politician obtains the following data based on a random sample of 12 teachers at a district in Illinois currently experiencing financial difficulty. Do the data support the belief that the teachers in the district are paid less than the average teacher in the state? Use the a = 0.05 level of significance. Note:The data are skewed right with an outlier. Source.www.familytaxpayers.org 53.620 40.836 48 152 92 006 45.470 49.893 58.838 47.508 73 318 48.876 69.899 113,924In Problems Determine whether the underlined value is a parameter or a statistic. In a survey of 1011 people age 50 or older, 73%% agreed with the statement "I believe in life after death." Source: Bill Newcott. "Life after Death," AARP Magazine, Sept /Oct. 2007A casino manager wants to inspect a sample of 14 slot machines in his casino for quality-control purposes. There are 600 sequentially numbered slot machines operating in the casino. Obtain a systematic sample of 14 slot machines. Be sure to discuss how you obtained the sample.Each of the following surveys has bias. Identify the type of bias. (a) A television survey that gives 900 phone numbers for viewers to call with their vote. Each call costs $2.00. (b) An employer distributes a survey to her 450 employees asking them how many hours each week, on average, they surf the Internet during business hours. Three of the employees complete the survey. (c) A question on a survey asks, "Do you favor or oppose a minor increase in property tax to ensure fair salaries for teachers and properly equipped school buildings?" (d) A researcher conducting a poll about national politics sends a survey to a random sample of subscribers to Time magazine.In Problem, a research objective is presented. For each, identify the population and sample in the study. Every year the U.S. Census Bureau releases the Current Population Report based on a survey of 50,000 households. Thegoal of this report is to learn the demographic characteristics ofall households within the United States, such as income