The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 City 11 City 12 City 13 City 14 18 19 City 2 17 21 City 3 18 23 City 4 7. 25 21 City 15 City 16 City 17 City 5 29 City 6 21 26 City 7 17 27 20 City 18 City 19 City 20 City 8 19 City 9 15 25 City 10 30 8. Construct a 90 % confidence interval for the average number of papers published in major world cities. Use technology to help you with this problem (Minitab). If calculating by hand, do not round until the end, and keep at least 3 decimal places for your critical value. Give your answers to at least 2 decimal places.

The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy   Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…

Section 3.1, question 3

In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (₂). Then find the lower limit and upper…

(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.

A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the following two-way table. Mild Severe 100 Death No Death Total None 40 100 140 40 100 140 Moderate 20 100 120 Total 200 400 600 100 200 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. Set up the alternative hypothesis (H, : The distribution of the categorical variable is not as given by the null hypothesis (lack of fit) At least ones of the means is different from the others O The two categorical variables are dependent The distribution of the categorical variable is not…

A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe). The counts of deaths over the course of the study are reported for each group in the following two-way table. Death No Death Total None 40 100 140 Mild 40 100 140 Moderate 20 100 120 Severe 100 100 200 Total 200 400 600 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. The observed test statistic is 3.610 42.857 5.476 8.075

e blackboard.njcu.edu Bb NJCU BIlackboard Ultra Content Launch Meeting - Zoom * Question Completion Status: QUESTION 1 The following dataset consists of the number of siblings reported by 4 people: х: ( 2, 3, 0, 1} Perform the following operations: O a. 8 O b.6 Ос. 14 O d. 36 QUESTION 2 scale: The ethnicity group of the subjects in the experiment is an example of

The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below.   City Number of papers City Number of papers City 1 1616 City 11 33 City 2 2626 City 12 99 City 3 1212 City 13 2121 City 4 55 City 14 44 City 5 22 City 15 55 City 6 2626 City 16 44 City 7 66 City 17 2020 City 8 2525 City 18 1717 City 9 1616 City 19 2222 City 10 66 City 20 2525 Construct a 95 % confidence interval for the average number of papers published in major world cities. blank <μ<blank

Q1) Case Study A survey was conducted to research the question whether more home runs are hit by players in the National League or by players in the American League. A Researcher decide to use the home run leaders from each league for a 40-year period as data. The numbers are shown. [6] National League 47 49 73 38 50 40 65 47 70 49 47 40 43 36 46 35 39 49 37 37 40 37 31 48 48 45 52 38 38 52 36 44 40 48 45 45 36 39 44 47 American League 47 57 52 47 48 56 56 52 50 40 46 43 39 44 51 36 42 49 49 40 43 32 39 22 41 45 46 39 32 36 32 32 37 33 44 49 44 44 49 32 (i) Define a population (ii) what kind of sample was used (iii) do you feel that it is representative (iv) what are your hypotheses? (v) what significance level will you use? (vi) what statistical test will you use? (vii) what are the results? (Assume sigma1 = 8.8 and sigma2=7.8) (viii) 95% CI? (ix) Decision (x) Conclusion (xi) Do you feel that using the data given really answers the original question asked? (xii) what other data might…