Suppose a basketball player has made 70% of their foul shots this season. Use a simulation to estimate the average number of points they will score from foul shots (you earn one point per made foul shot). Run 20 trials. Describe how you will run your simulation. Be specific Fill in the table   Trials Components Points 1     2     3     4     5     6     7     8     9     10     11     12     13     14     15     16     17     18     19       4.State your conclusion

The basketball coach at a local college believes that his team scores more points at home games when more people show up. Below is a list of all home games last year with scores and corresponding attendance. Use Excel, SPSS, or work by hand to show your work finding r. Show your work on the attached pages. Score Attendance   Score Attendance 54 380   67 410 57 350   78 215 59 320   67 113 80 478   56 250 82 451   85 450 75 250   101 489 73 489   99 472 53 451       What is the obtained t-score for this correlation? What is the critical t-score for a two-tailed test with a = 0.05? Is this correlation significant based on the t-scores?

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X 11.3 y 13.3 10.9 9.9 8.4 6.8 3.9 2.8 2.4 2.5 7 6.7 6.4 6.3 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation ŷ = 0.79x + 4.32. Use this equation to answer the following. Answer = 12.829 0.9 5 A) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons? Answer = 6.123 x Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons? x Round to 3 decimal places.

A retailer wants to see if a red "Sale" sign brings in more revenue than the same "Sale" sign in blue. The data below shows the revenue in thousands of dollars that was achieved for various days when the retailer decided to put the red "Sale" sign up and days when the retailer decided to put the blue "Sale" sign up. Red: 2.7, 2.6, 1.1, 4.2, 2.6, 3.4, 2.3, 2.9, 4, 2.6 Blue: 2.2, 1, 2.8, 1.6, 0.6, 0.9, 1, 1.7, 3.4 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of significance level of significance? b. The test statistic t î = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.)

Marco shows you the following chart to help him argue that while his division’s sales numbers aren’t as high as those of the other divisions, he’s actually not that far behind them, when you look at the data visually. How is Marco using a chart to lie to you? What would a more accurate representation of Marco’s performance look like?

The following statistics represent weekly salaries at a construction company. Mean $620 First quartile $485 Median $540 Third quartile $600 Mode $535 94th percentile $683 The most common salary is $ The salary that half the employees' salaries surpass is $ The percent of employees' salaries that surpassed $600 is The percent of employees' salaries that were less than $485 is %. The percent of employees' salaries that surpassed $683 is %. If the company has 100 employees, the total weekly salary of all employees is $ %.

The table shows the number of hours 9 students spent studying for a test and their scores on that test. What would be the predictable score when a student studied for 4.5 hours? Hours spent studying, x 0 2 4 5 5 5 6 7 8 Test scores, y 40 51 64 69 73 75 93 90 95 A. 67 B. 68 C. 69 D. 71

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.5 8.4 6.8 3.4 2.5 2.6 2.6 0.9 13.5 10.9 9.8 6.7 6.3 6.4 4.5 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation 0.83x + 3.99. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 8.4 thousand automatic weapons? Answer Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer Round to 3 decimal places.

In a month where the price of eggs is above average, would you expect the price of milk to be above average or below average? Explain.

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y= -71.12x + 92.48 and the r= -0.571