To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow. Twin Pair 1 2 3 4 5 6 School A 177 152 118 91 124 111 School B 86 137 117 114 116 88 Twin Pair 7 8 9 10 11 12 School A 84 113 116 148 121 83 School B 93 79 92 136 143 109 Use a 0.05 level of significance to test the hypothesis that the two schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools are not equally effective. (a) What is the level of significance? (b) Compute the sample test statistic. (Round your answer to two decimal places.) (c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)

A group of 91 students were surveyed about the courses they were taking at their college with the following results:39 students said they were taking Math.47 students said they were taking English.38 students said they were taking History.14 students said they were taking Math and English.16 students said they were taking Math and History.27 students said they were taking English and History.11 students said they were taking all three courses.How many students took none of the courses    ?

You may need to use the appropriate technology to answer this question. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table. Player FirstRound FinalRound Michael Letzig 70 72 Scott Verplank 71 72 D. A. Points 70 75 Jerry Kelly 72 71 Soren Hansen 70 69 D. J. Trahan 67 67 Bubba Watson 71 67 Reteif Goosen 68 75 Jeff Klauk 67 73 Kenny Perry 70 69   Player FirstRound FinalRound Aron Price 72 72 Charles Howell 72 70 Jason Dufner 70 73 Mike Weir 70 77 Carl Pettersson 68 70 Bo Van Pelt 68 65 Ernie Els 71 70 Cameron Beckman 70 68 Nick Watney 69 68 Tommy Armour III 67 71 Suppose you would like to determine if the mean score for the first round of a PGA Tour event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration…

1. Identify whether the numbers are statistics or parameters.   a. Of all US third grade teachers, 32% say that knowing cursive writing is an essential skill.   b. Of the 500 US third grade teachers polled, 34% say that knowing cursive writing is an essential skill.

To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:  Twin Pair 1 2 3 4 5 6 School A 80 145 118 90 112 118 School B 83 135 115 105 105 113 ​ Twin Pair 7 8 9 10 11 12 School A 98 112 115 144 124 96 School B 93 87 98 132 135 105 ​ Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A.…