The data was obtained in a study on the number of absences in the day and the final gra of seven randomly selected students from a statistics class. The data and output of IBM-SP software are shown below. Student A Number of absences 6 Final grade 82
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- Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. R F eTextbook and Media Save for Late O % 5 T O >> G H (9) 2 Number Accepted Number Enrolled Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer. & 2,440 2,800 2,720 2,360 2,660 2,620 8 6 611 K 708 637 584 614 625 ( 9 L Attempts: 0 of 1 used ) 0 P Submit Answer 56°F Cl BackspaThe data show the population (in thousands) for a recent year of a sample of cities in South Carolina. 26 26 15 29 69 21 30 29 13 26 20 38 85 19 19 23 29 25 111 47 30 49 108 30 38 Send data to ExcelThe data on the right represent the number of traffic fatalities by seat location and gender. Determine P(female) and P(female/driver). Are the events "female" and "driver" independent? Determine P(female). P(female) = (Round to three decimal places as needed.) Driver Male Female Total 32,738 11,842 44,580 Passenger 6,346 6,395 12,741 Total 39,084 18,237 57,321
- The female life expectancy and the male life expectancy (in years) for 30 industrial countries were recorded. The data are shown in the back-to-back stemplot below. Female Life Expectancy Male Life Expectancy 68 69 69 70 18 71 72 9 8 73 0 74 9 75 12 5 68 9 76 2 2 7 789 99 77 1 2 4 5 6 7 78 0 4 5 6 7 4 1 79 2 4 2 80 988 7 7 6 6 4 1 81 8 7 5 3 3 2 82 998 32 183 84 5 85 6816 represents 68.6 years Based on the stemplot, which of the following statements is true? (A) The median life expectancy and the range of life expectancies are both less for females than for males in these countries. (B) The median life expectancy and the range of life expectancies are both greater for females than for males in these countries. (C) The median life expectancy is the same for females and males in these countries, and the range of life expectancies is the same for females and for males in these countries. (D) The median life expectancy is less for females than for males in these countries, and the range of…fill blanks underlines.A County Board of Supervisors has appointed an urban planning committee to evaluate proposed community development projects. The committee is analyzing, among other things, data on household incomes in two cities within the county. They have collected data on the income of 77 households in each of the two cities. The histograms below show the distributions of the two sets of incomes (in thousands of dollars). Each histogram shows household income on the horizontal axis and number of households on the vertical axis. The means and standard deviations for the data sets are also given. City A City B 25+ 20+ 15+ 10+ 5- ← 10 20 30 40 50 60 70 80 90 100 City A mean: 73.96 thousand dollars City A standard deviation: 20.30 thousand dollars Explanation 25- 20- 15- 104 5+ 10 (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) ▼ data set. 20 30 The committee wants to use the Empirical Rule to make some…
- Tornadoes The following data represent the width (inyards) and length (in miles) of tornadoes.Width (yards), w Length (miles), L200 2.5350 4.8180 2.0300 2.5500 5.8400 4.5500 8.0800 8.0100 3.450 0.5700 9.0600 5.7Source: NOAA(a) Draw a scatter diagram of the data, treating width as theindependent variable.(b) What type of relation appears to exist between the widthand the length of tornadoes?(c) Select two points and find a linear model that containsthe points.(d) Graph the line on the scatter diagram drawn in part (b).(e) Use the linear model to predict the length of a tornadothat has a width of 450 yards.(f) Interpret the slope of the line found in part (c).Doctors at a technology research facility randomly assigned people to use computer keyboards in two rooms. In one room a group of people typed a manuscript using standard keyboards, while in the other room a second group of people typed the same manuscript using ergonomic keyboards to see if those people could type more words per minute. The table shows the resulting data. Standard Ergonomic Words per Words per minute minute 12 43 38 35 21 35 28 69 18 58 45 52 40 36 42 37 52 38 19 47 24 46 63 58Approaching midseason, the teams in a basketball league had won the following numbers of games. Construct a stem-and-leaf display for the given data in the accompanying table Treat the ones digit as the leaves.For any single data,use a stem of 0 help?
- A psychologist believed that as children get older, they engage in more “inactive activities” such as playing computer games, watching TV and surfing the internet. She collected data from 10 children. She recorded the age of each child and the amount of activity (in hours) the child engaged in per week. Age Activity 7 4.3 9 3.2 10 1 13 1.5 12 1.2 15 0.8 9 3 12 4 15 1.5 14 1.9 Using excel, obtain a scatterplot of the data. Discuss the relationship between age and activity based on the scatterplot. Using excel, obtain the simple linear regression linear regression line predicting activity from age. Interpret the intercept and slope of the regression line. By hand, predict the amount of activity for age = 14. By hand, calculate the residual for age = 14 Using excel output, test the null hypothesis that the slope coefficient is zero using the p-value approach. Write one sentence interpreting the meaning of this result. Make sure to report the test statistic…A marketing firm is doing research for an Internet-based company. It wants to appeal to the age group of people who spend the most money online. The company wants to know if there is a difference in the mean amount of money people spend per month on Internet purchases depending on their age bracket. The marketing firm looked at two age groups, 1818-2424 years and 2525-3030 years, and collected the data shown in the following table. Let Population 1 be the amount of money spent per month on Internet purchases by people in the 1818-2424 age bracket and Population 2 be the amount of money spent per month on Internet purchases by people in the 2525-3030 age bracket. Assume that the population variances are not the same. Internet Spending per Month 1818-2424 Years 2525-3030 Years Mean Amount Spent 62.4962.49 62.8462.84 Standard Deviation 20.0420.04 15.6415.64 Sample Size 1616 2828 Step 1 of 2 : Construct a 95%95% confidence interval for the true difference…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…