placed under a known load (force). Smaller beams made of the same material will then be used as springs to protect electronics. The manufacturer needs the beam to flex on average 5.0 mm, with 95 % of all samples having a flex between 4.7 mm and 5.3 mm. After testing the flex of 20 samples, the following numbers are found: 20 i=1 x₁ = 102.2 mm 20 i=1 2 Xi = 523.7 mm² Each sample has the flex measured to the nearest 0.1 mm using electronic calipers. What is the mean flex found using 20 samples? What is the sample standard deviation of flex found using 20 samples?
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![3. An experiment is conducted to measure the flex (amount of bending) in a thin composite beam when
placed under a known load (force). Smaller beams made of the same material will then be used as
springs to protect electronics.
The manufacturer needs the beam to flex on average 5.0 mm, with 95 % of all samples having a flex
between 4.7 mm and 5.3 mm.
After testing the flex of 20 samples, the following numbers are found:
(d)
(e)
20
(f)
(g)
i=1
Each sample has the flex measured to the nearest 0.1 mm using electronic calipers.
(a)
What is the mean flex found using 20 samples?
What is the sample standard deviation of flex four using 20 samples?
What is the 95% confidence interval for an individual sample? (Not true mean
this time!) That is, in what range would we expect the flex of 95 % of the samples to be
found?
x₁ = 102.2 mm
20
Σχι" = 523.7 mm2
Xi
i=1
Does the set of samples used satisfy the desired failure rate?
Explain the reasoning behind your answer.
What percent difference is there between the actual average flex and the desired
flex? Treat the desired flex as the "true" value.
Discuss the accuracy and precision of the experiment performed.
Write a conclusion for the experiment performed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa487fd1f-659d-4c4f-ad85-f8cf24cc282d%2Ffc97ccc4-badc-4b82-bfb3-0b613759adb2%2F8e8ck5t_processed.jpeg&w=3840&q=75)
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- In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 310 trials, the touch therapists were correct 149 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists. |Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Complete parts (a) and (b). Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the data table. (a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment? A. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator. B. This is a good idea in designing the experiment because…In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. 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She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 329 trials, the touch therapists were correct 157 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? 0.477 (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists.The age of a tree can be determined by counting each annual growth ring in the trunk of the tree. 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