a) Complete the curve below by entering the values of areas under the curve, the values of 1, 2 and 3 standard deviations, based on the Empirical Rule. = O = _% % b) The education officer wants to know what percentage of students whose scores were greater than 100 marks.
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- If the average of the data set given below as a missing ('*') value is 7.5, calculate the Q1 (lower quartile) value for this set.a production line operates with a mean filling weight of 16 ounces per container. overfillingor underfilling presents a serious problem and when detected requires the operator to shutdown the production line to readjust the filling mechanism. from past data, a populationstandard deviation s = .8 ounces is assumed. a quality control inspector selects a sampleof 30 items every hour and at that time makes the decision of whether to shut down the linefor readjustment. the level of significance is a = .05.a. State the hypothesis test for this quality control application.b. if a sample mean of x = 16.32 ounces were found, what is the p-value? what actionwould you recommend?a production line operates with a mean filling weight of 16 ounces per container. overfillingor underfilling presents a serious problem and when detected requires the operator to shutdown the production line to readjust the filling mechanism. from past data, a populationstandard deviation s = .8 ounces is assumed. a quality control inspector selects a sampleof 30 items every hour and at that time makes the decision of whether to shut down the linefor readjustment. the level of significance is a = .05.a. State the hypothesis test for this quality control application.b. if a sample mean of x = 16.32 ounces were found, what is the p-value? what actionwould you recommend?c. if a sample mean of x = 15.82 ounces were found, what is the p-value? what actionwould you recommend?
- Given that a distribution on a test has a mean of 70 and a standard deviation of 12 D. Why is the calculated z-score for the sample different than single draw *Please do not solve using Microsoft Excel. My professor is not teaching using excel. I would like to see the steps involved to solving the problem for my own study reference for exams.*a production line operates with a mean filling weight of 16 ounces per container. overfillingor underfilling presents a serious problem and when detected requires the operator to shutdown the production line to readjust the filling mechanism. from past data, a populationstandard deviation s = .8 ounces is assumed. a quality control inspector selects a sampleof 30 items every hour and at that time makes the decision of whether to shut down the linefor readjustment. the level of significance is a = .05.a. State the hypothesis test for this quality control applicationA construction zone on a highway has posted a speed limit of 40 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 46 miles per hour and a standard deviation of 5 miles per hour. Find the percentage of vehicles passing through this construction 12. zone that are • exceeding the posted speed limit • traveling at speeds between 50 and 60 miles per hour
- If the percentage of defective in a factory was 0.30, a random sample of 200 units was taken, and 50 defective units were found, find the value of the statistical laboratory *The mean annual premium for automobile insurance in the United States is $1503 (Insure.com website, March 6, 2014). Being from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1440 with a standard deviation of s = $165. a. Develop a hypothesis test that can be used to determine \vhether the mean annual premium in Pennsylvania is lower than the national mean annual premium. b. what is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean? c. At a =.05, test for a significant difference. What is your conclusion?A researcher believes that adolescents learn faster than elders. He gathered 30 adolescents and 23 elders for the test. He provided same instructional material that explains how to use Photoshop to retouch images and recorded the time that each participant took to finish their Photoshop task. The average time taken by the adolescents was 180 seconds with a standard deviation of 13 seconds. The mean time for elders was 279 seconds with a standard deviation of 25 seconds. A). Complete test statistic and critical values B). Conclusion
- Most medical schools of require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. What percentage of students score between 495 points and 520 points? (round to the nearest hundredthThe Minnesota Twins have scored the following number of runs: 4, 3, 2, 2, 2, 12, 0, 3, 4, 1. Find the STANDARD DEVIATION of the runs they have scored. >>>»USE DESMOS CALCULATOR TO FIND YOUR StDev <<<<<< O 2 2.5 3.3 O 3.1The State of Pennsylvania has changed one of its toll roads from manual collection of tolls to machine collection. The idea behind the change was to allow traffic to flow more quickly through the toll plaza. With human attendants, the mean number of cars passing through the toll plaza was 1253 per hour with a standard deviation of 59. A random sample of 120 hours under the new machine system of toll collection shows a sample mean of 1261. Officials from Pennsylvania Department of Transportation (PENNDOT) question how a sample of 120 hours can prove whether or not more cars pass through with machine collections over manual collection, that is, how the results from the sample reflect the population. In a detailed paragraph of at least six to seven sentences, based on your knowledge and understanding of the concepts of inferential statistics, random sampling, and tests of statistical significance, respond to PENNDOT. Ensure that you mention what inferential statistics is and why we…