Question 8/21 # < A 13 feet B) 16 feet (C) 18 feet D) 23 feet (E) 26 feet > NEXT Type here to search A dead tree was struck by lightning, causing it to fall over at a point 10 feet up from its base. If the fallen treetop forms a 40° angle with the ground, about how tall was the tree originally? 1 BOOKMARK 88 X 10 a O 01:21:31 DELL 1:29 PM d 10/17/2022 O
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- A consumer-testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car Miles Driven 1 25 2 27 3 35 4 42 5 28 6 37 7 40 8 31 9 29 10 33 11 30 12 26 13 31 14 28 15 30 Average 31.47 Standard 5.04 Agency would like to know if the manufacturer’s claim is false. Carryout an appropriate hypothesis test (use 1% significance level). Check any assumptions you think are relevant before doing the text.The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected 8 outlets and sold the MP3 player at the reduced price. At 7 randomly selected outlets, the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the regular and reduced prices at the randomly selected outlets. Regular (7 outlets) - 138, 127, 129, 114, 114, 126, 98 Reduced (8 outlets) - 122, 135, 151, 133, 113, 129, 134, 133 At the 0.050 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Hint: for the calculations, assume the reduced price as the first sample. Compute the pooled estimate of the variance (round to 3 decimal places) Compute the test statistic (round to 2 decimal places)A social worker in a certain city claimed that only 25% of the children between 19 and 35 months had not had all of their vaccines. You believe the percentage is higher. In order to test the social worker’s claim, you contact 145 families that have a child between 19 and 35 months and find that 44 of the children had not had all of their vaccines. Can the social worker’s claim be supported to a level of significance of α = .02, test the hypothesis.
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- Imagine a database from the Gallogly College of Engineering that contained the starting salariesfor a sample of Spring 2021 graduating engineers. Recreate the following table. At theintersections of the table, fill out what happens to the sample statistic (in the row) when everysalary is altered by the specified amount (in the column). You’re welcome to use actual data totest your intuition, but data aren’t necessary – the answers in the intersections should begeneric.The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected 8 outlets, and sold the MP3 player at its reduced price. Reported below is the number of units sold last month at the regular and reduced prices at the randomly selected outlets. Regular - 138, 127, 129, 114, 114, 126, 98 Reduced - 122, 135, 151, 133, 113, 129, 134, 133 At the 0.050 significance level, can the car manufacturer conclude that the price reduction resulted in an increase in sales? Hint: for the calculations, assume reduced price as the first sample. Compute the pooled estimate of the variance (round to 3 decimal places) Compute the test statistic (round to 2 decimal places) State your decision about the null hypothesis (Reject or Fail to reject)A public opinion poll in Southern California was conducted to determine whether Southern Californians are prepared for the “big earthquake” that experts pre- dict will devastate the region sometime in the next 50 years. It was learned that "60% have not secured objects in their homes that might fall and cause injury and dam- age during a temblor." In a random sample of n = 864 Southern Californians, let X equal the number who "have not secured objects in their homes." Find P(496 ≤ X ≤ 548), approximately.
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