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- Use theorem 5.4.2 to form a proportion in which SV is a geometric mean. Hint: SVTRVS Exercises 1-6Consider the information in Exercise 2, but suppose you know that the area of the region defined by the intersection of the square and the circle measures 5. What is the area of the entire colored region? 2. The area of the square is 12, and the area of the circle is 30. Does the area of the entire shaded region equal 42? Why or why not?The U.S. Air Force requires that pilots have heights between 64in and 77in. The heights of women are normally distributed with 63.7in and 2.9in. (a) find the percentage of woman meeting the height requirement. (B) if the Air Force changes its policy to admit all woman taller than the lowest 4%, what is the new lower height requirement?
- According to the American Automobile Association, 31 million Americans travel over the Thanksgiving holiday. To determine whether to stay open or not, a national restaurant chain surveyed 125 customers at each of four locations to see if they would be traveling over the holiday. The results are shown here. At α = 0.10, test the claim that the proportions of Americans who will travel over the Thanksgiving holiday are equal. Location A Location B Location C Location D Will Travel 37 52 46 49 Will Not Travel 88 73 79 76 Totals 125 125 125 125Two HR managers ranked the 12 entries to hire executives for operations department of a hospital is as follows. What degree of agreement is there between the judges?Is the average time to complete an obstacle course longer when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 49 47 43 44 43 41 47 50 Left 46 45 41 42 42 42 43 50 Assume a Normal distribution. What can be concluded at the the α = 0.10 level of significance level of significance? For this study, we should use: t-test for the difference between two dependent population mean The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ α
- J steel cuts steel bars to any length that a customer orders, from 8 feet long to 120 feet long. The customers order lengths that are uniformly distributed. What percent of customers want length cut between 8 and 80 feet? What percent of customers want length cut between 80 and 120 feet?Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days.The registrar’s office at ACC predicts that 90% of the 6,950 spaces open in various math classes will be available during the first week of registration. If 90% of the spaces are open, what percent of the spaces will be filled after the first week of registration? 10 %. A good estimate of the number of spaces that will be filled after the first week of registration is
- A student at Tolland High School wondered if boys or girls at her school traveled a greater distance to college. The student randomly selected 50 boys and 50 girls and found the distance each boy and girl travels to college. What type of interval should the student use to compute the difference in the average distances between how far boys and girls from Tolland High School travel to college?Is the average time to complete an obstacle course shorter when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 47 42 50 42 48 47 48 42 Left 50 43 52 43 51 46 50 43 Assume a Normal distribution. What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for a population proportion z-test for the difference between two population proportions t-test for a population…Is the average time to complete an obstacle course different when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 48 44 47 40 46 41 46 48 Left 45 42 45 36 45 35 44 45 Assume a Normal distribution. What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: `0:` `a:` 2. The test statistic = (please show your answer to 4 decimal places.) 3. The p-value = (Please show your answer to 4 decimal places.)
