Discuss each term as to its use in Master of Arts in Mathematics Education and give example in each. 1. Counting techniques 2. Standard deviation 3. Random variables
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A. Discuss each term as to its use in Master of Arts in Mathematics Education and give example in each. 1. Counting techniques 2. Standard deviation 3. Random variables
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- 14. Sports Car: Fuel Injection The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random sample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months): LEGO 29 42 49 48 53 46 30 51 42 52 (i) Use your calculator to verify that the mean age of a car when the fuel injection system fails is x = 44.2 months, with standard deviation S=8.61months. (ii) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance. %3D63. A spinner is divided into 5 equally likely segments labeled A through E. The results of 100 spins are: The Chi-squared statistic for goodness of fit is: _______________ 9.39 5.7 9.0 8.31Which of the following statistics are unbiased estimators of the population parameter? Select all that apply. A) Sample mean B) Sample proportion C) Sample range
- 1. Suppose population size N = 10,000 The College Board reported the following mean scores for the three parts of the Scholas- tic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading 502 515 Mathematics Writing 494 Assume that the population standard deviation on each part of the test is o = 100. a. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Read- ing part of the test? b. What is the probability that a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Compare this probability to the value computed in part (a). c. What is the probability that a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Comment on the differences between this probability and the values…(Items 24 – 50) show your solutions clearly and legibly the space provided. A. The average cost per household of owning a brand new car is 5,000. Suppose that we randomly selected 40 households. Determine the probability that the sample mean for these 40 households is more than 5,350? Assume the variable is normally distributed and the standard deviation is 1,230. B. Given population 15, 12, 6, 9, and 17. Suppose samples of size 3 are drawn from this population. Complete the table and draw the sketch of histogram. Describe the distribution. Possible Samples Sample Means Mean Frequency P()Asap plzz
- . A division-wide aptitude test in Mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal population.a. What is [the minimum score to belong to the upper 10% of the group?In a scholastic aptitude test, mean score for the three parts are:Critical reading 410Mathematics 425Writing 480Assume that the population variance on each part of the test is 6400. What is the probability a sample of 100 test takers will provide a sample mean test score within 10 points of the population mean of Critical Reading part of the test?7. The manager of a small dry cleaner employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below. Find the sample VARIANCE and STANDARD DEVIATION for the given data. Round your final answer to one more decimal place than that used for the observations. Use BOTH the DEFINING Formula and the COMPUTING Formula to find the standard deviation and compare your answers for the 2 methods. Se Stept 12.7 24.5 40.4 30.8 22.5 15.6 n-1 Sx - 514.8412 m Úse Table for Defining Formula
- 21Exploration 4. Assume that 5 students taking a statistics course having the following ages: 17 33 29 20 45 Mean a. Find the mean and population standard deviation of the data set of ages. Standard Deviation b. Assume that random samples of size n = 2 are selected with replacement. Make a list of all of the possible samples of size 2. They are selected with replacement, i.e. the same student could be chosen twice. Also, selecting the age of 17 first and 33 second is different from selecting 33 first and 17 second. You need to make a list of all the possible outcomes (there should be 25.....) Find the mean of each sample and construct a table representing the sampling distribution of the mean.
