a Determine the probability of making 9 The probability of success for a binomial the true value is 0.45 and a sample of size distribution is tested. It is hypothesised that the true value is 0.45 and a sample of size 12 is taken. a type I error if the significance level is i 10% ii 5% iii 1% b Find also the probability of making a type II error in each case if the true value is actually 0.6
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- + ill 2 Scores on the Scholastic Aptitude Test are normally distributed with µ = 500 and o= 100. Suppose we randomly select 20 persons from the population of all persons who take the test and compute the sample mean, A. What is the standard deviation of the sampling distribution of B. What will be the shape of the sampling distribution of ? ? e. What is the probability that the sample mean, will be greater than 560?K Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. 4000 B.C. A.D. 150 n 30 30 X 131.39 mm 136.66 mm S 5.11 mm 5.32 mm What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to ... warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same. as the variation in A.D. 150. OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of…A mechanic a brand of automobile tire that has a expectancy that is normally distributedwith a mean of 28,000 miles and a standard deviation of 2100 milesHe wants to give a guarantee for free replacement of tires that don't wear well How should he word his guarantee is willing to replace approximately 10% of the ?
- A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of adults found that 46% have used a multivitamin in the past 12 months You randomly select 50 adults and ask them past 12 months. they have used a multivitamin in the Select the correct answer below and, if necessary, fill in the answer boxes within your choice O A. No, because np <5. OB. No, because ng <5. O C. Yes, the mean is and the standard deviation is (Round to two decimal places as needed.)Question * The size of an ear of wheat in a field is modeled by a random variable X with normal distribution N(15,6). What is the probability for an ear to be greater than 16cm? 0.5675 0.5636 0.4325 0.5 Question Suppose we are interested in finding a 95% confidence interval for the mean SAT Verbal score of students at a certain high school. Five students are sampled, and their SAT Verbal scores areestion The world's smallest mammal is the bumbl are roughly the size of a large bumblebee. Listed below are weights (in grams) from a sample of these bats. Construct a 90% confidence interval estimate of the standard deviation of weights for all such bats. Assume that the sample is a simple random sample obtained from a population with a normal distribution. the Kitti's hog-nosed bat (or Craseonycteris thonglongyai as it is affectionately called). Such bats 1.7 1.6 1.4 2.0 2.3 1.7 1.6 1.7 1.5 1.7 2.3 1.4 1.6 1.6 1.7 The 90% confidence interval estimate is gWhat is the use of the chi-square goodness of fit test? Select one. To test how close the distribution of a population is to an expected distribution To test the difference in three or more population means To test how close the distribution of a population is to a Normal distribution To test how close the distribution of a population is to a Student's t-distributionA recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized below. Statistic Men Women Sample mean 24.04 22.15 Sample standard deviation 5.57 4.54 Sample size 32 34 At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? State the decision rule for 0.01 significance level: H0: μMen= μWomen H1: μMen ≠ μWomen. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding the null hypothesis? What is the p-value? (Round your answer to 3 decimal places.)Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers has maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes, and the population standard deviation of this distribution is 16 minutes. Suppose 100 returns from this year are selected and analyzed regarding the preparation time. What is the probability that the mean time for the sample of 100 returns is between 88 minutes and 92 minutes? Multiple Choice Approximately 1 0.1956 0.7752 0.7888am i Saved Help Save & Exit A random variable is binomially distributed with n= 16 and T = .40. The expected value and standard deviation of the variables are Multiple Choice 2.00 and 1.24 4.80 and 400 6.40 and 1.96 2.00 and 1.20 17 of 19 Next >Knowledge of this type of distribution allows us to construct a confidence interval for the ratio of two variances. O F-distribution O Z-distribution O None of the Choices O T-distribution O Uniform distributionfind p value for left tailed test. test statistic t = -2.484 sample size n = 22SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON