Concept explainers
The interval from –2.33 to 1.75 captures an area of 0.95 under the z curve. This implies that another large-sample 95% confidence interval for μ has lower limit
Trending nowThis is a popular solution!
Chapter 9 Solutions
INTRODUCTION TO STATISTICS & DATA ANALYS
- A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value?arrow_forwardWith reference to the uniform population of Exam-ple 4, use the definition of consistency to show that Yn, the nth order statistic, is a consistent estimator of theparameter β.arrow_forwardThe melting point of each of 20 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in x¯=94.32x¯=94.32. Assume that the distribution of the melting point is normally distributed with a σ=1.20σ=1.20. Test the claim that the mean melting point of hydrogenated vegetables is less than 95. a.What is the appropriate alternative hypothesis? b.What is the value of the test statistic?d. c.What is the corresponding p-value? d.What is the confidence interval for the mean melting point of hydrogenated vegetable?arrow_forward
- The contingency table shows the results of a random sample of former smokers by the number of times they tried to quit smoking before they were habit-free and gender. At α=0.10, can you conclude that the number of times they tried to quit before they were habit-free is related to gender? Perform the indicated chi-square independence test by completing parts (a) through (e) below.arrow_forwardA random sample of size 16 from a normal distribution with 0= 3 produced a sample mean of 4.5. a- is the x distribution normal? b-Compute the sample test statistic z under the null hypothesis Ho: u=6.3. c- for H1:u<6.3, estimate the P-value of the test statistic. d-for a level of significance of 0.01 and the hypotheses of parts (b) and (c), do you reject or fail to reject the null hypothesis? Explain.arrow_forwardA sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? (a) State the null and alternative hypotheses. (b) Calculate, correct to 2 decimal places, (i) the sample mean, x ; and (ii) the sample standard deviation, s. (c) Evaluate the appropriate test statistic. (d) Test these hypotheses at 0.05 level of significance.arrow_forward
- Use the given information to find the number of degrees of freedom, the critical values χ2L and χ2R, and the confidence interval estimate of σ.It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Nicotine in menthol cigarettes 90% confidence; n=21, s=0.29 mg. a) df = b) X2/L = c) X 2/R = d) lower limit = _______ < p < upper limit = ________arrow_forwardConsider random samples of size 80 drawn from population A with proportion 0.46 and random samples of size 60 drawn from population B with proportion 0.16 a)Find the standard error of the distribution of differences in sample proportions, p^A-p^B. Round your answer for the standard error to three decimal places. b) Are the sample sizes large enough for the Central Limit Theorem to apply?arrow_forwardWith the dataset from the naive Bayes question, use m-estimation (Laplacian smoothing) with m = 5 and prior estimate p(Rest=Yes|Healthy=Yes) = 1/2 to compute the following conditional probability: P(Rest = Yes|Healthy = Yes).arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman