In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 306 kicks during games among top teams. In the table, jump direction indicate which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.05 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeepe jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? E Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. A. Ho: Jump direction is independent of kick direction. H,: Jump direction is dependent on kick direction. O B. Ho: Goalkeepers jump in the direction of the kick. H,: Goalkeepers do not jump in the direction of the kick. O C. Ho: Goalkeepers do not jump in the direction of the kick. H,: Goalkeepers jump in the direction of the kick, O D. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. Determine the test statistic. x2 =| (Round to three decimal places as needed.)

Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a normal model with μ = 92.31 mph and σ = 2.85 mph.   Approximately what proportion of these four-seam fastballs would you expect to have speeds between 91.2 mph and 94.4 mph? (Express your answer as a decimal and round to 4 decimal places.)  Approximately what proportion of these four-seam fastballs would you expect to have speeds above 94.4 mph? (Express your answer as a decimal and round to 4 decimal places.)  A baseball fan wishes to identify…

Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher's hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with meanu = 92.12 mph and a standard deviation of o = 2.43 mph. 85 90 100 speed (mph) Compute the z-score of pitch with speed 95.8 mph. (Round your answer to two decimal places.) 1.5 Approximately what fraction of these four-seam fastballs would you expect to have speeds between 90.2 mph and 90.8 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of these four-seam…

Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean μ = 92.12 mph and a standard deviation of σ = 2.43 mph.   Compute the z-score of pitch with speed 89.4 mph. (Round your answer to two decimal places.)Approximately what fraction of these four-seam fastballs would you expect to have speeds between 88.2 mph and 95 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)Approximately what fraction of these four-seam fastballs would you expect…

B) has more than one answer .. Thank you

a.  Which measure of association would be most appropriate for these variables? b.  What is the value of the measure of association? c.  What is the strength of the association? d.  Would be appropriate to interpret a direction for the association? If so, which direction is the association between the two variables?

Twenty students in a group of 40 at Dawn High elect for a course in statistics (St. Eleven students take up linear algebra (L). Five students enrolled for both courses. Represent the data in the Venn diagram below.

What is Stem and Leaf Display?

Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean μ = 92.12 mph and a standard deviation of σ = 2.43 mph. A baseball fan wishes to identify the four-seam fastballs among the fastest 21% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 21%? (Round your answer to the nearest 0.1 mph.)

a.Consider the two variables, High School GPA and Average Annual Earnings in Adulthood. Which isdependent?b. Describe the relationship between High School GPA and Average Annual Earnings in Adulthood. Is thecorrelation positive or negative? (Write at least two sentences.)c. Does a person’s High School GPA cause them to earn a certain salary in adulthood? Explain.